Lightning

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For other uses, see Lightning (disambiguation).
"Return stroke" redirects here. For other uses, see Return stroke (disambiguation).
Not to be confused with Lighting.

Strokes of cloud-to-ground lightning during a thunderstorm
High-speed, slow-motion lightning video captured at 6,200 frames per second
Cloud-to-ground lightning in Maracaibo, Venezuela
A lightning bolt at Petrified Forest National Park, USA
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Cumulus clouds in fair weather.jpeg Weather portal

Lightning is a naturally occurring electrostatic discharge during which two electrically charged regions in the atmosphere or ground temporarily equalize themselves, causing the instantaneous release of as much as one gigajoule of energy.[1][2][3] This discharge may produce a wide range of electromagnetic radiation, from very hot plasma created by the rapid movement of electrons to brilliant flashes of visible light in the form of black-body radiation. Lightning causes thunder, a sound from the shock wave which develops as gases in the vicinity of the discharge experience a sudden increase in pressure. Lightning occurs commonly during thunderstorms and other types of energetic weather systems, but volcanic lightning can also occur during volcanic eruptions.

The three main kinds of lightning are distinguished by where they occur: either inside a single thundercloud, between two different clouds, or between a cloud and the ground. Many other observational variants are recognized, including "heat lightning", which can be seen from a great distance but not heard; dry lightning, which can cause forest fires; and ball lightning, which is rarely observed scientifically.

Humans have deified lightning for millennia, and lightning-inspired expressions like "bolt from the blue", "to be struck by lightning" (as to having an epiphany or enlightenment), "lightning never strikes twice (in the same place)" and "blitzkrieg" are in common usage. In some languages, the notion of "love at first sight" literally translates as "lightning strike".

Electrification[edit]

(Figure 1) The main charging area in a thunderstorm occurs in the central part of the storm where air is moving upward rapidly (updraft) and temperatures range from −15 to −25 °C (5 to −13 °F).

The details of the charging process are still being studied by scientists, but there is general agreement on some of the basic concepts of thunderstorm electrification. The main charging area in a thunderstorm occurs in the central part of the storm where air is moving upward rapidly (updraft) and temperatures range from −15 to −25 °C (5 to −13 °F); see Figure 1. At that place, the combination of temperature and rapid upward air movement produces a mixture of super-cooled cloud droplets (small water droplets below freezing), small ice crystals, and graupel (soft hail). The updraft carries the super-cooled cloud droplets and very small ice crystals upward. At the same time, the graupel, which is considerably larger and denser, tends to fall or be suspended in the rising air.[4]

(Figure 2) When the rising ice crystals collide with graupel, the ice crystals become positively charged and the graupel becomes negatively charged.

The differences in the movement of the precipitation cause collisions to occur. When the rising ice crystals collide with graupel, the ice crystals become positively charged and the graupel becomes negatively charged; see Figure 2. The updraft carries the positively charged ice crystals upward toward the top of the storm cloud. The larger and denser graupel is either suspended in the middle of the thunderstorm cloud or falls toward the lower part of the storm.[4]

The upper part of the thunderstorm cloud becomes positively charged while the middle to lower part of the thunderstorm cloud becomes negatively charged.

The result is that the upper part of the thunderstorm cloud becomes positively charged while the middle to lower part of the thunderstorm cloud becomes negatively charged.[4]

The upward motions within the storm and winds at higher levels in the atmosphere tend to cause the small ice crystals (and positive charge) in the upper part of the thunderstorm cloud to spread out horizontally some distance from thunderstorm cloud base. This part of the thunderstorm cloud is called the anvil. While this is the main charging process for the thunderstorm cloud, some of these charges can be redistributed by air movements within the storm (updrafts and downdrafts). In addition, there is a small but important positive charge buildup near the bottom of the thunderstorm cloud due to the precipitation and warmer temperatures.[4]

General considerations[edit]

Four-second video of a lightning strike, Island in the Sky, Canyonlands National Park, Utah, United States.

A typical cloud-to-ground lightning flash culminates in the formation of an electrically conducting plasma channel through the air in excess of 5 km (3.1 mi) tall, from within the cloud to the ground's surface. The actual discharge is the final stage of a very complex process.[5] At its peak, a typical thunderstorm produces three or more strikes to the Earth per minute.[6] Lightning primarily occurs when warm air is mixed with colder air masses,[7] resulting in atmospheric disturbances necessary for polarizing the atmosphere.[citation needed] However, it can also occur during dust storms, forest fires, tornadoes, volcanic eruptions, and even in the cold of winter, where the lightning is known as thundersnow.[8][9] Hurricanes typically generate some lightning, mainly in the rainbands as much as 160 km (99 mi) from the center.[10][11][12]

The science of lightning is called fulminology, and the fear of lightning is called astraphobia.

Distribution and frequency[edit]

Main article: Distribution of lightning
World map showing frequency of lightning strikes, in flashes per km² per year (equal-area projection), from combined 1995–2003 data from the Optical Transient Detector and 1998–2003 data from the Lightning Imaging Sensor.

Lightning is not distributed evenly around Earth, as shown in the map.

On Earth, the lightning frequency is approximately 44 (± 5) times per second, or nearly 1.4 billion flashes per year[13] and the average duration is 0.2 seconds made up from a number of much shorter flashes (strokes) of around 60 to 70 microseconds.[14]

Many factors affect the frequency, distribution, strength and physical properties of a typical lightning flash in a particular region of the world. These factors include ground elevation, latitude, prevailing wind currents, relative humidity, proximity to warm and cold bodies of water, etc. To a certain degree, the ratio between IC (in-cloud or intracloud), CC (cloud-to-cloud) and CG (cloud-to-ground) lightning may also vary by season in middle latitudes.

Because human beings are terrestrial and most of their possessions are on the Earth where lightning can damage or destroy them, CG lightning is the most studied and best understood of the three types, even though IC and CC are more common types of lightning. Lightning's relative unpredictability limits a complete explanation of how or why it occurs, even after hundreds of years of scientific investigation. About 70% of lightning occurs over land in the tropics[15] where atmospheric convection is the greatest.

This occurs from both the mixture of warmer and colder air masses, as well as differences in moisture concentrations, and it generally happens at the boundaries between them. The flow of warm ocean currents past drier land masses, such as the Gulf Stream, partially explains the elevated frequency of lightning in the Southeast United States. Because large bodies of water lack the topographic variation that would result in atmospheric mixing, lightning is notably less frequent over the world's oceans than over land. The North and South Poles are limited in their coverage of thunderstorms and therefore result in areas with the least amount of lightning.[clarification needed]

In general, cloud-to-ground (CG) lightning flashes account for only 25% of all total lightning flashes worldwide. Since the base of a thunderstorm is usually negatively charged, this is where most CG lightning originates. This region is typically at the elevation where freezing occurs within the cloud. Freezing, combined with collisions between ice and water, appears to be a critical part of the initial charge development and separation process. During wind-driven collisions, ice crystals tend to develop a positive charge, while a heavier, slushy mixture of ice and water (called graupel) develops a negative charge. Updrafts within a storm cloud separate the lighter ice crystals from the heavier graupel, causing the top region of the cloud to accumulate a positive space charge while the lower level accumulates a negative space charge.

Lightning in Belfort, France

Because the concentrated charge within the cloud must exceed the insulating properties of air, and this increases proportionally to the distance between the cloud and the ground, the proportion of CG strikes (versus cloud-to-cloud (CC) or in-cloud (IC) discharges) becomes greater when the cloud is closer to the ground. In the tropics, where the freezing level is generally higher in the atmosphere, only 10% of lightning flashes are CG. At the latitude of Norway (around 60° North latitude), where the freezing elevation is lower, 50% of lightning is CG.[16][17]

Lightning is usually produced by cumulonimbus clouds, which have bases that are typically 1–2 km (0.62–1.24 mi) above the ground and tops up to 15 km (9.3 mi) in height.

The place on Earth where lightning occurs most often is near the small village of Kifuka in the mountains of the eastern Democratic Republic of the Congo,[18] where the elevation is around 975 m (3,200 ft). On average, this region receives 158 lightning strikes per square kilometre per year (410/sq mi/yr).[19] Lake Maracaibo in Venezuela averages 297 days per year with lightning activity, an effect recognized as Catatumbo lightning.[20] Other lightning hotspots Singapore[21] and Lightning Alley in Central Florida.[22][23]

Necessary conditions[edit]

Main article: Thunderstorm
Sound of a thunderstorm

In order for an electrostatic discharge to occur, two preconditions are necessary: firstly, a sufficiently high potential difference between two regions of space must exist, and secondly, a high-resistance medium must obstruct the free, unimpeded equalization of the opposite charges. The atmosphere provides the electrical insulation, or barrier, that prevents free equalization between charged regions of opposite polarity.

It is well understood that during a thunderstorm there is charge separation and aggregation in certain regions of the cloud; however the exact processes by which this occurs are not fully understood.[24]

Electrical field generation[edit]

View of lightning from an airplane flying above a system.

As a thundercloud moves over the surface of the Earth, an equal electric charge, but of opposite polarity, is induced on the Earth's surface underneath the cloud. The induced positive surface charge, when measured against a fixed point, will be small as the thundercloud approaches, increasing as the center of the storm arrives and dropping as the thundercloud passes. The referential value of the induced surface charge could be roughly represented as a bell curve.

The oppositely charged regions create an electric field within the air between them. This electric field varies in relation to the strength of the surface charge on the base of the thundercloud – the greater the accumulated charge, the higher the electrical field.

Flashes and strikes[edit]

The best studied and understood form of lightning is cloud to ground (CG). Although more common, intracloud (IC) and cloud to cloud (CC) flashes are very difficult to study given there are no "physical" points to monitor inside the clouds. Also, given the very low probability lightning will strike the same point repeatedly and consistently, scientific inquiry is difficult at best even in the areas of high CG frequency. As such, knowing flash propagation is similar amongst all forms of lightning, the best means to describe the process is through an examination of the most studied form, cloud to ground.

A lightning strike from cloud to ground in the Mojave Desert, California
An intracloud flash. A lightning flash within the cloud, illuminates the entire blanket.

Lightning leaders[edit]

A downward leader travels towards earth, branching as it goes.
Lightning strike caused by the connection of two leaders, positive shown in blue and negative in red

In a process not well understood, a bidirectional channel of ionized air, called a "leader", is initiated between oppositely-charged regions in a thundercloud. Leaders are electrically conductive channels of ionized gas that propagate through, or are otherwise attracted to, regions with a charge opposite of that of the leader tip. The negative end of the bidirectional leader fills a positive charge region, also called a well, inside the cloud while the positive end fills a negative charge well. Leaders often split, forming branches in a tree-like pattern.[25] In addition, negative and some positive leaders travel in a discontinuous fashion, in a process called "stepping". The resulting jerky movement of the leaders can be readily observed in slow-motion videos of lightning flashes.

It is possible for one end of the leader to fill the oppositely-charged well entirely while the other end is still active. When this happens, the leader end which filled the well may propagate outside of the thundercloud and result in either a cloud-to-air flash or a cloud-to-ground flash. In a typical cloud-to-ground flash, a bidirectional leader initiates between the main negative and lower positive charge regions in a thundercloud. The weaker positive charge region is filled quickly by the negative leader which then propagates toward the inductively-charged ground.

The positively and negatively charged leaders proceed in opposite directions, positive upwards within the cloud and negative towards the earth. Both ionic channels proceed, in their respective directions, in a number of successive spurts. Each leader "pools" ions at the leading tips, shooting out one or more new leaders, momentarily pooling again to concentrate charged ions, then shooting out another leader. The negative leader continues to propagate and split as it heads downward, often speeding up as it gets closer to the Earth's surface.

About 90% of ionic channel lengths between "pools" are approximately 45 m (148 ft) in length.[26] The establishment of the ionic channel takes a comparatively long amount of time (hundreds of milliseconds) in comparison to the resulting discharge, which occurs within a few dozen microseconds. The electric current needed to establish the channel, measured in the tens or hundreds of amperes, is dwarfed by subsequent currents during the actual discharge.

Initiation of the lightning leaders is not well understood. The electric field strength within the thundercloud is not typically large enough to initiate this process by itself.[27] Many hypotheses have been proposed. One theory postulates that showers of relativistic electrons are created by cosmic rays and are then accelerated to higher velocities via a process called runaway breakdown. As these relativistic electrons collide and ionize neutral air molecules, they initiate leader formation. Another theory involves locally enhanced electric fields being formed near elongated water droplets or ice crystals.[28] Percolation theory, especially for the case of biased percolation,[29][clarification needed] describes random connectivity phenomena, which produce an evolution of connected structures similar to that of lightning strikes.

Upward streamers[edit]

When a stepped leader approaches the ground, the presence of opposite charges on the ground enhances the strength of the electric field. The electric field is strongest on grounded objects whose tops are closest to the base of the thundercloud, such as trees and tall buildings. If the electric field is strong enough, a positively charged ionic channel, called a positive or upward streamer, can develop from these points. This was first theorized by Heinz Kasemir.[30][31]

As negatively charged leaders approach, increasing the localized electric field strength, grounded objects already experiencing corona discharge exceed a threshold and form upward streamers.

Attachment[edit]

Once a downward leader connects to an available upward leader, a process referred to as attachment, a low-resistance path is formed and discharge may occur. Photographs have been taken in which unattached streamers are clearly visible. The unattached downward leaders are also visible in branched lightning, none of which are connected to the earth, although it may appear they are. High-speed videos can show the attachment process in progress.[32]

Discharge[edit]

Return stroke[edit]

High-speed photography showing different parts of a lightning flash during the discharge process as seen in Toulouse, France.

Once a conductive channel bridges the air gap between the negative charge excess in the cloud and the positive surface charge excess below, there is a large drop in resistance across the lightning channel. Electrons accelerate rapidly as a result in a zone beginning at the point of attachment, which expands across the entire leader network at a fraction of the speed of light. This is the 'return stroke' and it is the most luminous and noticeable part of the lightning discharge.

A large electric current flows along the plasma channel from the cloud to the ground, neutralising the positive ground charge as electrons flow away from the strike point to the surrounding area. This huge surge of current creates large radial voltage differences along the surface of the ground. Called step potentials, they are responsible for more injuries and deaths than the strike itself.[33] Electricity takes every path available to it.[34] A portion of the return stroke current will often preferentially flow through one leg and out another, electrocuting an unlucky human or animal standing near the point where the lightning strikes.

The electric current of the return stroke averages 30 kiloamperes for a typical negative CG flash, often referred to as "negative CG" lightning. In some cases, a ground to cloud (GC) lightning flash may originate from a positively charged region on the ground below a storm. These discharges normally originate from the tops of very tall structures, such as communications antennas. The rate at which the return stroke current travels has been found to be around 100,000 km/s.[35]

The massive flow of electric current occurring during the return stroke combined with the rate at which it occurs (measured in microseconds) rapidly superheats the completed leader channel, forming a highly electrically conductive plasma channel. The core temperature of the plasma during the return stroke may exceed 50,000 K, causing it to brilliantly radiate with a blue-white color. Once the electric current stops flowing, the channel cools and dissipates over tens or hundreds of milliseconds, often disappearing as fragmented patches of glowing gas. The nearly instantaneous heating during the return stroke causes the air to expand explosively, producing a powerful shock wave which is heard as thunder.

Re-strike[edit]

High-speed videos (examined frame-by-frame) show that most negative CG lightning flashes are made up of 3 or 4 individual strokes, though there may be as many as 30.[36]

Each re-strike is separated by a relatively large amount of time, typically 40 to 50 milliseconds, as other charged regions in the cloud are discharged in subsequent strokes. Re-strikes often cause a noticeable "strobe light" effect.[37]

To understand why multiple return strokes utilize the same lightning channel, one needs to understand the behavior of positive leaders, which a typical ground flash effectively becomes following the negative leader's connection with the ground. Positive leaders decay more rapidly than negative leaders do. For reasons not well understood, bidirectional leaders tend to initiate on the tips of the decayed positive leaders in which the negative end attempts to re-ionize the leader network. These leaders, also called recoil leaders, usually decay shortly after their formation. When they do manage to make contact with a conductive portion of the main leader network, a return stroke-like process occurs and a dart leader travels across all or a portion of the length of the original leader. The dart leaders making connections with the ground are what cause a majority of subsequent return strokes.[38]

Each successive stroke is preceded by intermediate dart leader strokes that have a faster rise time but lower amplitude than the initial return stroke. Each subsequent stroke usually re-uses the discharge channel taken by the previous one, but the channel may be offset from its previous position as wind displaces the hot channel.[39]

Since recoil and dart leader processes do not occur on negative leaders, subsequent return strokes very seldom utilize the same channel on positive ground flashes which are explained later in the article.[38]

Transient currents during flash[edit]

The electric current within a typical negative CG lightning discharge rises very quickly to its peak value in 1–10 microseconds, then decays more slowly over 50–200 microseconds. The transient nature of the current within a lightning flash results in several phenomena that need to be addressed in the effective protection of ground-based structures. Rapidly changing currents tend to travel on the surface of a conductor, in what is called the skin effect, unlike direct currents, which "flow-through" the entire conductor like water through a hose. Hence, conductors used in the protection of facilities tend to be multi-stranded, with small wires woven together. This increases the total bundle surface area in inverse proportion to the individual strand radius, for a fixed total cross-sectional area.

The rapidly changing currents also create electromagnetic pulses (EMPs) that radiate outward from the ionic channel. This is a characteristic of all electrical discharges. The radiated pulses rapidly weaken as their distance from the origin increases. However, if they pass over conductive elements such as power lines, communication lines, or metallic pipes, they may induce a current which travels outward to its termination. The surge current is inversely related to the Surge impedance ... so the higher in impedance, then the lower the current.[40] This is the "surge" that, more often than not, results in the destruction of delicate electronics, electrical appliances, or electric motors. Devices known as surge protectors (SPD) or transient voltage surge suppressors (TVSS) attached in parallel with these lines can detect the lightning flash's transient irregular current, and, through alteration of its physical properties, route the spike to an attached earthing ground, thereby protecting the equipment from damage.

Types[edit]

There are three primary types of lightning, defined by what is at the "ends" of a flash channel.

  • Intracloud (IC), which occurs within a single thundercloud unit
  • Cloud to cloud (CC) or intercloud, which starts and ends between two different "functional" thundercloud units
  • Cloud to ground (CG), that primarily originates in the thundercloud and terminates on an Earth surface, but may also occur in the reverse direction, that is ground to cloud

There are variations of each type, such as "positive" versus "negative" CG flashes, that have different physical characteristics common to each which can be measured. Different common names used to describe a particular lightning event may be attributed to the same or different events.

Cloud to ground (CG)[edit]

Cloud to ground lightning

Cloud-to-ground (CG) lightning is a lightning discharge between a thundercloud and the ground. It is initiated by a stepped leader moving down from the cloud, which is met by a streamer moving up from the ground.

CG is the least common, but best understood of all types of lightning. It is easier to study scientifically, because it terminates on a physical object, namely the Earth, and lends itself to being measured by instruments on the ground. Of the three primary types of lightning, it poses the greatest threat to life and property since it terminates or "strikes" the Earth. The overall discharge, termed a flash, is composed of a number of processes such as preliminary breakdown, stepped leaders, connecting leaders, return strokes, dart leaders and subsequent return strokes.[41]

Positive and negative lightning[edit]

Cloud-to-ground (CG) lightning is either positive or negative, as defined by the direction of the conventional electric current from cloud to ground. Most CG lightning is negative, meaning that a negative charge is transferred to ground and electrons travel downward along the lightning channel. The reverse happens in a positive CG flash, where electrons travel upward along the lightning channel and a positive charge is transferred to the ground. Positive lightning is less common than negative lightning, and on average makes up less than 5% of all lightning strikes.[42]

A bolt from the blue lightning strike which appears to initiate from the clear, but turbulent sky above the anvil cloud and drive a bolt of plasma through the cloud directly to the ground. They are commonly referred to as positive flashes despite the fact that they are usually negative in polarity.

There are six different mechanisms theorized to result in the formation of downward positive lightning.[43]

  • Vertical wind shear displacing the upper positive charge region of a thundercloud, exposing it to the ground below.
  • The loss of lower charge regions in the dissipating stage of a thunderstorm, leaving the primary positive charge region.
  • A complex arrangement of charge regions in a thundercloud, effectively resulting in an inverted dipole or inverted tripole in which the main negative charge region is above the main positive charge region instead of beneath it.
  • An unusually large lower positive charge region in the thundercloud.
  • Cutoff of an extended negative leader from its origin which creates a new bidirectional leader in which the positive end strikes the ground, commonly seen in anvil-crawler spider flashes.
  • The initiation of a downward positive branch from an intracloud lightning flash.

Contrary to popular belief, positive lightning flashes do not necessarily originate from the anvil or the upper positive charge region and strike a rain-free area outside of the thunderstorm. This belief is based on the outdated idea that lightning leaders are unipolar in nature and originating from their respective charge region.

Positive lightning strikes tend to be much more intense than their negative counterparts. An average bolt of negative lightning carries an electric current of 30,000 amperes (30 kA), and transfers 15 coulombs of electric charge and 1 gigajoule of energy. Large bolts of negative lightning can carry up to 120 kA and 350 C.[44] The average positive ground flash has roughly double the peak current of a typical negative flash, and can produce peak currents up to 400 kA and charges of several hundred coulombs.[45][46] Furthermore, positive ground flashes with high peak currents are commonly followed by long continuing currents, a correlation not seen in negative ground flashes.[47]

As a result of their greater power, as well as lack of warning, positive lightning strikes are considerably more dangerous. Due to the aforementioned tendency for positive ground flashes to produce both high peak currents and long continuing current, they are capable of heating surfaces to much higher levels which increases the likelihood of a fire being ignited.

Positive lightning has also been shown to trigger the occurrence of upward lightning flashes from the tops of tall structures and is largely responsible for the initiation of sprites several tens of kilometers above ground level. Positive lightning tends to occur more frequently in winter storms, as with thundersnow, during intense tornadoes[48] and in the dissipation stage of a thunderstorm.[49] Huge quantities of extremely low frequency (ELF) and very low frequency (VLF) radio waves are also generated.[50]

A unique form of cloud-to-ground lightning exists where lightning appears to exit from the cumulonimbus cloud and propagate a considerable distance through clear air before veering towards, and striking, the ground. For this reason, they are known as "bolts from the blue". Despite the popular misconception that these are positive lightning strikes due to them seemingly originating from the positive charge region, observations have shown that these are in fact negative flashes. They begin as intracloud flashes within the cloud, the negative leader then exits the cloud from the positive charge region before propagating through clear air and striking the ground some distance away.[51][52]

Cloud to cloud (CC) and intra-cloud (IC)[edit]

Branching of cloud to cloud lightning, New Delhi, India
Multiple paths of cloud-to-cloud lightning, Swifts Creek, Australia.
Cloud-to-cloud lightning, Victoria, Australia.
Cloud-to-cloud lightning seen in Gresham, Oregon.

Lightning discharges may occur between areas of cloud without contacting the ground. When it occurs between two separate clouds it is known as inter-cloud lightning, and when it occurs between areas of differing electric potential within a single cloud it is known as intra-cloud lightning. Intra-cloud lightning is the most frequently occurring type.[49]

Intra-cloud lightning most commonly occurs between the upper anvil portion and lower reaches of a given thunderstorm. This lightning can sometimes be observed at great distances at night as so-called "sheet lightning". In such instances, the observer may see only a flash of light without hearing any thunder.

Anvil Crawler over Lake Wright Patman south of Redwater, Texas on the backside of a large area of rain associated with a cold-front

Another term used for cloud–cloud or cloud–cloud–ground lightning is "Anvil Crawler", due to the habit of charge, typically originating beneath or within the anvil and scrambling through the upper cloud layers of a thunderstorm, often generating dramatic multiple branch strokes. These are usually seen as a thunderstorm passes over the observer or begins to decay. The most vivid crawler behavior occurs in well developed thunderstorms that feature extensive rear anvil shearing.

Observational variations[edit]

  • Anvil crawler lightning, sometimes called Spider lightning is created when leaders propagate through horizontally-extensive charge regions in mature thunderstorms, usually the stratiform regions of mesoscale convective systems. These discharges usually begin as intracloud discharges originating within the convective region; the negative leader end then propagates well into the aforementioned charge regions in the stratiform area. If the leader becomes too long, it may separate into multiple bidirectional leaders. When this happens, the positive end of the separated leader may strike the ground as a positive CG flash or crawl on the underside of the cloud, creating a spectacular display of lightning crawling across the sky. Ground flashes produced in this manner tend to transfer high amounts of charge, and this can trigger upward lightning flashes and upper-atmospheric lightning.[38]
  • Ball lightning may be an atmospheric electrical phenomenon, the physical nature of which is still controversial. The term refers to reports of luminous, usually spherical objects which vary from pea-sized to several meters in diameter.[53] It is sometimes associated with thunderstorms, but unlike lightning flashes, which last only a fraction of a second, ball lightning reportedly lasts many seconds. Ball lightning has been described by eyewitnesses but rarely recorded by meteorologists.[54][55] Scientific data on natural ball lightning is scarce owing to its infrequency and unpredictability. The presumption of its existence is based on reported public sightings, and has therefore produced somewhat inconsistent findings. Brett Porter,[56] a wildlife ranger, reported taking a photo at Queensland of Australia in 1987.

  • Bead lightning, also known by the terms pearl lightning, chain lightning, perlschnurblitz and eclair en chapelet, to name a few [57] is the decaying stage of a lightning channel in which the luminosity of the channel breaks up into segments[58]. Nearly every lightning discharge will exhibit beading as the channel cools immediately after a return stroke, sometimes referred to as the lightning's 'bead-out' stage. 'Bead lightning' is more properly a stage of a normal lightning discharge rather than a type of lightning in itself. Beading of a lightning channel is usually a small-scale feature, and therefore is often only apparent when the observer/camera is close to the lightning.[59]
  • Cloud-to-air lightning is a lightning flash in which one end of a bidirectional leader exits the cloud, but does not result in a ground flash. Such flashes can sometimes be thought of as failed ground flashes. Blue jets and gigantic jets are a form of cloud-to-air or cloud-to-ionosphere lightning where a leader is launched from the top of a thunderstorm.
  • Dry lightning is used in Australia, Canada and the United States for lightning that occurs with no precipitation at the surface. This type of lightning is the most common natural cause of wildfires.[60] Pyrocumulus clouds produce lightning for the same reason that it is produced by cumulonimbus clouds[citation needed].

  • Forked lightning is cloud-to-ground lightning that exhibits branching of its path.
  • Heat lightning is a lightning flash that appears to produce no discernible thunder because it occurs too far away for the thunder to be heard. The sound waves dissipate before they reach the observer.[61]

  • Ribbon lightning occurs in thunderstorms with high cross winds and multiple return strokes. The wind will blow each successive return stroke slightly to one side of the previous return stroke, causing a ribbon effect.[62]
  • Rocket lightning is a form of cloud discharge, generally horizontal and at cloud base, with a luminous channel appearing to advance through the air with visually resolvable speed, often intermittently.[63]

  • Sheet lightning is cloud-to-cloud lightning that exhibits a diffuse brightening of the surface of a cloud, caused by the actual discharge path being hidden or too far away. The lightning itself cannot be seen by the spectator, so it appears as only a flash, or a sheet of light. The lightning may be too far away to discern individual flashes.

  • Smooth channel lightning is an informal term referring to a type of cloud-to-ground lightning strike that has no visible branching and appears like a line with smooth curves as opposed to the jagged appearance of most lightning channels. They are a form of positive lightning generally observed in or near the convective regions of severe thunderstorms in the north central United States. It is theorized that severe thunderstorms in this region obtain an "inverted tripole" charge structure in which the main positive charge region is located below the main negative charge region instead of above it, and as a result these thunderstorms generate predominantly positive cloud-to-ground lightning. The term "smooth channel lightning" is also sometimes attributed to upward ground-to-cloud lightning flashes, which are generally negative flashes initiated by upward positive leaders from tall structures.
  • Staccato lightning is a cloud-to-ground lightning (CG) strike which is a short-duration stroke that (often but not always) appears as a single very bright flash and often has considerable branching.[64] These are often found in the visual vault area near the mesocyclone of rotating thunderstorms and coincides with intensification of thunderstorm updrafts. A similar cloud-to-cloud strike consisting of a brief flash over a small area, appearing like a blip, also occurs in a similar area of rotating updrafts.[65]
This CG was of very short duration, exhibited highly branched channels and was very bright indicating that it was staccato lightning near New Boston, Texas.

  • Superbolts are rather loosely defined as strikes with a source energy of more than 100 gigajoule [100 GJ] (most lightning strikes come in at around 1 gigajoule [1 GJ]). Events of this magnitude occur about as frequently as one in 240 strikes. They are not categorically distinct from ordinary lightning strikes, and simply represent the uppermost edge of a continuum. Contrary to popular misconception, superbolts can be either positively or negatively charged, and the charge ratio is comparable to that of "ordinary" lightning.[66][67][68]

  • Sympathetic lightning is the tendency of lightning to be loosely coordinated across long distances. Discharges can appear in clusters when viewed from space.

  • Upward lightning or ground-to-cloud lightning is a lightning flash which originates from the top of a grounded object and propagates upward from this point. This type of lightning can be triggered by a preceding lightning flash, or it may initiate entirely on its own. The former is generally found in regions where spider lightning occurs, and may involve multiple grounded objects simultaneously.[69] The latter usually occurs during the cold season and may be the dominant lightning type in thundersnow events.[70]
  • Clear-air lightning describes lightning that occurs with no apparent cloud close enough to have produced it. In the U.S. and Canadian Rockies, a thunderstorm can be in an adjacent valley and not observable from the valley where the lightning bolt strikes, either visually or audibly. European and Asian mountainous areas experience similar events. Also in areas such as sounds, large lakes or open plains, when the storm cell is on the near horizon (within 26 km or 16 mi) there may be some distant activity, a strike can occur and as the storm is so far away, the strike is referred to as a bolt from the blue.[71] These flashes usually begin as normal intracloud lightning flashes before the negative leader exits the cloud and strikes the ground a considerable distance away.[51][52] Positive clear-air strikes can occur in highly sheared environments where the upper positive charge region becomes horizontally displaced from the precipitation area.[72]

Effects[edit]

Lightning strike[edit]

Main article: Lightning strike

Objects struck by lightning experience heat and magnetic forces of great magnitude. The heat created by lightning currents traveling through a tree may vaporize its sap, causing a steam explosion that bursts the trunk. As lightning travels through sandy soil, the soil surrounding the plasma channel may melt, forming tubular structures called fulgurites. Although 90 percent of people struck by lightning survive,[73] humans or animals struck by lightning may suffer severe injury due to internal organ and nervous system damage. Buildings or tall structures hit by lightning may be damaged as the lightning seeks unintended paths to ground. By safely conducting a lightning strike to ground, a lightning protection system can greatly reduce the probability of severe property damage. Lightning also serves an important role in the nitrogen cycle by oxidizing diatomic nitrogen in the air into nitrates which are deposited by rain and can fertilize the growth of plants and other organisms.[74][75] Due to their metallic fuselages, aircraft are highly susceptible to lightning strikes, though it does not cause much harm to the aircraft or its passengers, aside from a small hole in the wings. Due to the conductive properties of Aluminium alloy, the fuselage acts as a Faraday cage.

Thunder[edit]

Main article: Thunder

Because the electrostatic discharge of terrestrial lightning superheats the air to plasma temperatures along the length of the discharge channel in a short duration, kinetic theory dictates gaseous molecules undergo a rapid increase in pressure and thus expand outward from the lightning creating a shock wave audible as thunder. Since the sound waves propagate not from a single point source but along the length of the lightning's path, the sound origin's varying distances from the observer can generate a rolling or rumbling effect. Perception of the sonic characteristics is further complicated by factors such as the irregular and possibly branching geometry of the lightning channel, by acoustic echoing from terrain, and by the usually multiple-stroke characteristic of the lightning strike.

Light travels at about 300,000,000 m/s (980,000,000 ft/s), and sound travels through air at about 343 m/s (1,130 ft/s). An observer can approximate the distance to the strike by timing the interval between the visible lightning and the audible thunder it generates. A lightning flash preceding its thunder by one second would be approximately 343 m (1,125 ft) in distance; a delay of three seconds would indicate a distance of about 1 km or 0.62 mi (3 × 343 m). A flash preceding thunder by five seconds would indicate a distance of approximately 1.5 km or 0.93 mi (5 × 343 m). Consequently, a lightning strike observed at a very close distance will be accompanied by a sudden clap of thunder, with almost no perceptible time lapse, possibly accompanied by the smell of ozone (O3).

Lightning at a sufficient distance may be seen and not heard; there is data that a lightning storm can be seen at over 160 km (100 mi) whereas the thunder travels about 32 km (20 mi). Anecdotally, there are many examples of people saying 'the storm was directly overhead or all-around and yet there was no thunder'. There is no coherent data available.[citation needed]

High-energy radiation[edit]

The production of X-rays by a bolt of lightning was theoretically predicted as early as 1925,[76] but no evidence was found until 2001/2002,[77][78][79] when researchers at the New Mexico Institute of Mining and Technology detected X-ray emissions from an induced lightning strike along a grounded wire trailed behind a rocket shot into a storm cloud. In the same year University of Florida and Florida Tech researchers used an array of electric field and X-ray detectors at a lightning research facility in North Florida to confirm that natural lightning makes X-rays in large quantities during the propagation of stepped leaders. The cause of the X-ray emissions is still a matter for research, as the temperature of lightning is too low to account for the X-rays observed.[80][81]

A number of observations by space-based telescopes have revealed even higher energy gamma ray emissions, the so-called terrestrial gamma-ray flashes (TGFs). These observations pose a challenge to current theories of lightning, especially with the recent discovery of the clear signatures of antimatter produced in lightning.[82] Recent research has shown that secondary species, produced by these TGFs, such as electrons, positrons, neutrons or protons, can gain energies of up to several tens of MeV.[83][84]

Air quality[edit]

The very high temperatures generated by lightning lead to significant local increases in ozone and oxides of nitrogen. Each lightning flash in temperate and sub-tropical areas produces 7 kg of NOx on average.[85] In the troposphere the effect of lightning can increase NOx by 90% and ozone by 30%.[86]

Volcanic[edit]

Main article: Volcanic lightning
Volcanic material thrust high into the atmosphere can trigger lightning.

Volcanic activity produces lightning-friendly conditions in multiple ways. The enormous quantity of pulverized material and gases explosively ejected into the atmosphere creates a dense plume of particles. The ash density and constant motion within the volcanic plume produces charge by frictional interactions (triboelectrification), resulting in very powerful and very frequent flashes as the cloud attempts to neutralize itself. Due to the extensive solid material (ash) content, unlike the water rich charge generating zones of a normal thundercloud, it is often called a dirty thunderstorm.

  • Powerful and frequent flashes have been witnessed in the volcanic plume as far back as the 79 AD eruption of Vesuvius by Pliny The Younger.[87]
  • Likewise, vapors and ash originating from vents on the volcano's flanks may produce more localized and smaller flashes upwards of 2.9 km long.
  • Small, short duration sparks, recently documented near newly extruded magma, attest to the material being highly charged prior to even entering the atmosphere.[88]

Extraterrestrial[edit]

Lightning has been observed within the atmospheres of other planets, such as Jupiter and Saturn. Although in the minority on Earth, superbolts appear to be common on Jupiter.

Lightning on Venus has been a controversial subject after decades of study. During the Soviet Venera and U.S. Pioneer missions of the 1970s and 1980s, signals suggesting lightning may be present in the upper atmosphere were detected.[89] Although the Cassini–Huygens mission fly-by of Venus in 1999 detected no signs of lightning, the observation window lasted mere hours. Radio pulses recorded by the spacecraft Venus Express (which began orbiting Venus in April 2006) may originate from lightning on Venus.

Human-related phenomena[edit]

  • Airplane contrails have also been observed to influence lightning to a small degree. The water vapor-dense contrails of airplanes may provide a lower resistance pathway through the atmosphere having some influence upon the establishment of an ionic pathway for a lightning flash to follow.[90]
  • Rocket exhaust plumes provided a pathway for lightning when it was witnessed striking the Apollo 12 rocket shortly after takeoff.
  • Thermonuclear explosions by providing extra material for electrical conduction and a very turbulent localized atmosphere, have been seen triggering lightning flashes within the mushroom cloud. In addition, intense gamma radiation from large nuclear explosions may develop intensely charged regions in the surrounding air through Compton scattering. The intensely charged space charge regions create multiple clear-air lightning discharges shortly after the device detonates.[91]

Scientific study[edit]

Properties[edit]

Thunder is heard as a rolling, gradually dissipating rumble because the sound from different portions of a long stroke arrives at slightly different times.[92]

When the local electric field exceeds the dielectric strength of damp air (about 3 megavolts per meter), electrical discharge results in a strike, often followed by commensurate discharges branching from the same path. Mechanisms that cause the charges to build up to lightning are still a matter of scientific investigation.[93][94] New study confirming dielectric breakdown is involved. Rison 2016. Lightning may be caused by the circulation of warm moisture-filled air through electric fields.[95] Ice or water particles then accumulate charge as in a Van de Graaff generator.[96]

Researchers at the University of Florida found that the final one-dimensional speeds of 10 flashes observed were between 1.0×105 and 1.4×106 m/s, with an average of 4.4×105 m/s.[97]

Detection and monitoring[edit]

Main article: Lightning detection
Lightning strike counter in a museum

The earliest detector invented to warn of the approach of a thunder storm was the lightning bell. Benjamin Franklin installed one such device in his house.[98][99] The detector was based on an electrostatic device called the 'electric chimes' invented by Andrew Gordon in 1742.

Lightning discharges generate a wide range of electromagnetic radiations, including radio-frequency pulses. The times at which a pulse from a given lightning discharge arrives at several receivers can be used to locate the source of the discharge with a precision on the order of meters. The United States federal government has constructed a nationwide grid of such lightning detectors, allowing lightning discharges to be tracked in real time throughout the continental U.S.[100][101] In addition, a private global detection system that consists of over 500 detection station owned and operated by hobbyists/volunteers provides near real-time lightning maps at blitzortung.org

The Earth-ionosphere waveguide traps electromagnetic VLF- and ELF waves. Electromagnetic pulses transmitted by lightning strikes propagate within that waveguide. The waveguide is dispersive, which means that their group velocity depends on frequency. The difference of the group time delay of a lightning pulse at adjacent frequencies is proportional to the distance between transmitter and receiver. Together with direction-finding methods, this allows locating lightning strikes up to distances of 10,000 km from their origin. Moreover, the eigenfrequencies of the Earth-ionospheric waveguide, the Schumann resonances at about 7.5 Hz, are used to determine the global thunderstorm activity.[102]

In addition to ground-based lightning detection, several instruments aboard satellites have been constructed to observe lightning distribution. These include the Optical Transient Detector (OTD), aboard the OrbView-1 satellite launched on April 3, 1995, and the subsequent Lightning Imaging Sensor (LIS) aboard TRMM launched on November 28, 1997.[103][104][105]

Starting in 2016, the National Oceanic and Atmospheric Administration launched Geostationary Operational Environmental Satellite–R Series (GOES-R) weather satellites outfitted with Geostationary Lightning Mapper (GLM) instruments which are near-infrared optical transient detectors that can detect the momentary changes in an optical scene, indicating the presence of lightning. [106][107] The lighting detection data can be converted into a real-time map of lightning activity across the Western Hemisphere; this mapping technique has been implemented by the United States National Weather Service. [108]

Artificially triggered[edit]

  • Rocket-triggered lightning can be "triggered" by launching specially designed rockets trailing spools of wire into thunderstorms. The wire unwinds as the rocket ascends, creating an elevated ground that can attract descending leaders. If a leader attaches, the wire provides a low-resistance pathway for a lightning flash to occur. The wire is vaporized by the return current flow, creating a straight lightning plasma channel in its place. This method allows for scientific research of lightning to occur under a more controlled and predictable manner.[109]
    The International Center for Lightning Research and Testing (ICLRT) at Camp Blanding, Florida typically uses rocket triggered lightning in their research studies.
  • Laser-triggered
    Since the 1970s,[110][111][112][113][114][115] researchers have attempted to trigger lightning strikes by means of infrared or ultraviolet lasers, which create a channel of ionized gas through which the lightning would be conducted to ground. Such triggering of lightning is intended to protect rocket launching pads, electric power facilities, and other sensitive targets.[116][117][118][119][120]
    In New Mexico, U.S., scientists tested a new terawatt laser which provoked lightning. Scientists fired ultra-fast pulses from an extremely powerful laser thus sending several terawatts into the clouds to call down electrical discharges in storm clouds over the region. The laser beams sent from the laser make channels of ionized molecules known as "filaments". Before the lightning strikes earth, the filaments lead electricity through the clouds, playing the role of lightning rods. Researchers generated filaments that lived a period too short to trigger a real lightning strike. Nevertheless, a boost in electrical activity within the clouds was registered. According to the French and German scientists who ran the experiment, the fast pulses sent from the laser will be able to provoke lightning strikes on demand.[121] Statistical analysis showed that their laser pulses indeed enhanced the electrical activity in the thundercloud where it was aimed—in effect they generated small local discharges located at the position of the plasma channels.[122]

Physical manifestations[edit]

Lightning-induced remanent magnetization (LIRM) mapped during a magnetic field gradient survey of an archaeological site located in Wyoming, United States.

Magnetism[edit]

The movement of electrical charges produces a magnetic field (see electromagnetism). The intense currents of a lightning discharge create a fleeting but very strong magnetic field. Where the lightning current path passes through rock, soil, or metal these materials can become permanently magnetized. This effect is known as lightning-induced remanent magnetism, or LIRM. These currents follow the least resistive path, often horizontally near the surface[123][124] but sometimes vertically, where faults, ore bodies, or ground water offers a less resistive path.[125] One theory suggests that lodestones, natural magnets encountered in ancient times, were created in this manner.[126]

Lightning-induced magnetic anomalies can be mapped in the ground,[127][128] and analysis of magnetized materials can confirm lightning was the source of the magnetization[129] and provide an estimate of the peak current of the lightning discharge.[130]

Research at the University of Innsbruck has found that magnetic fields generated by plasma may induce hallucinations in subjects located within 200 m (660 ft) of a severe lightning storm.[131]

Solar wind and cosmic rays[edit]

Some high energy cosmic rays produced by supernovas as well as solar particles from the solar wind, enter the atmosphere and electrify the air, which may create pathways for lightning bolts.[132]

In culture and religion[edit]

Further information: Lightning in religion
Lightning by Mikalojus Konstantinas Ciurlionis (1909)

In many cultures, lightning has been viewed as part of a deity or a deity in and of itself. These include the Greek god Zeus, the Aztec god Tlaloc, the Mayan God K, Slavic mythology's Perun, the Baltic Pērkons/Perkūnas, Thor in Norse mythology, Ukko in Finnish mythology, the Hindu god Indra, and the Shinto god Raijin.[133] In the traditional religion of the African Bantu tribes, lightning is a sign of the ire of the gods. Verses in the Jewish religion and in Islam also ascribe supernatural importance to lightning. In Christianity, the Second Coming of Jesus is compared to lightning.[Matthew 24:27][Luke 17:24]

The expression "Lightning never strikes twice (in the same place)" is similar to "Opportunity never knocks twice" in the vein of a "once in a lifetime" opportunity, i.e., something that is generally considered improbable. Lightning occurs frequently and more so in specific areas. Since various factors alter the probability of strikes at any given location, repeat lightning strikes have a very low probability (but are not impossible).[134][135] Similarly, "A bolt from the blue" refers to something totally unexpected, and "A person being struck by lightning" is an imaginative or comedic metaphor for someone to experience a once in a lifetime, striking, sudden lightning-speed revelation, similar to an epiphany or an enlightenment.

Some political parties use lightning flashes as a symbol of power, such as the People's Action Party in Singapore, the British Union of Fascists during the 1930s, and the National States' Rights Party in the United States during the 1950s.[136] The Schutzstaffel, the paramilitary wing of the Nazi Party, used the Sig rune in their logo which symbolizes lightning. The German word Blitzkrieg, which means "lightning war", was a major offensive strategy of the German army during World War II.

In French and Italian, the expression for "Love at first sight" is coup de foudre and colpo di fulmine, respectively, which literally translated means "lightning strike". Some European languages have a separate word for lightning which strikes the ground (as opposed to lightning in general); often it is a cognate of the English word "rays". The name of Australia's most celebrated thoroughbred horse, Phar Lap, derives from the shared Zhuang and Thai word for lightning.[137]

The bolt of lightning in heraldry is called a thunderbolt and is shown as a zigzag with non-pointed ends. This symbol usually represents power and speed.

The lightning bolt is used to represent the instantaneous communication capabilities of electrically powered telegraphs and radios. It was a commonly used motif in Art Deco design, especially the zig-zag Art Deco design of the late 1920s.[138] The lightning bolt is a common insignia for military communications units throughout the world. A lightning bolt is also the NATO symbol for a signal asset.

The Unicode symbol for lightning is ☇ U+2607.

See also[edit]

References[edit]

Notes[edit]

  1. ^ Maggio, Christopher R.; Marshall, Thomas C.; Stolzenburg, Maribeth (2009). "Estimations of charge transferred and energy released by lightning flashes". Journal of Geophysical Research: Atmospheres. 114 (D14): D14203. Bibcode:2009JGRD..11414203M. doi:10.1029/2008JD011506. ISSN 2156-2202.
  2. ^ "SEVERE WEATHER 101 - Lightning Basics". nssl.noaa.gov. Retrieved October 23, 2019.
  3. ^ "Lightning Facts". factsjustforkids.com. Retrieved October 23, 2019.
  4. ^ a b c d "NWS Lightning Safety: Understanding Lightning: Thunderstorm Electrification". National Oceanic and Atmospheric Administration. Archived from the original on November 30, 2016. Retrieved November 25, 2016. This article incorporates text from this source, which is in the public domain.
  5. ^ Uman (1986) p. 81.
  6. ^ Uman (1986) p. 55.
  7. ^ Füllekrug, Martin; Mareev, Eugene A.; Rycroft, Michael J. (May 1, 2006). Sprites, Elves and Intense Lightning Discharges. Springer Science & Business Media. Bibcode:2006seil.book.....F. ISBN 9781402046285. Archived from the original on November 4, 2017.
  8. ^ New Lightning Type Found Over Volcano? Archived February 9, 2010, at the Wayback Machine. News.nationalgeographic.com (February 2010). Retrieved on June 23, 2012.
  9. ^ "Bench collapse sparks lightning, roiling clouds". Volcano Watch. United States Geological Survey. June 11, 1998. Archived from the original on January 14, 2012. Retrieved October 7, 2012.
  10. ^ Pardo-Rodriguez, Lumari (Summer 2009) Lightning Activity in Atlantic Tropical Cyclones: Using the Long-Range Lightning Detection Network (LLDN) Archived March 9, 2013, at the Wayback Machine. MA Climate and Society, Columbia University Significant Opportunities in Atmospheric Research and Science Program.
  11. ^ Hurricane Lightning Archived August 15, 2017, at the Wayback Machine, NASA, January 9, 2006.
  12. ^ The Promise of Long-Range Lightning Detection in Better Understanding, Nowcasting, and Forecasting of Maritime Storms Archived March 9, 2013, at the Wayback Machine. Long Range Lightning Detection Network
  13. ^ Oliver, John E. (2005). Encyclopedia of World Climatology. National Oceanic and Atmospheric Administration. ISBN 978-1-4020-3264-6. Retrieved February 8, 2009.
  14. ^ "Lightning". gsu.edu. Archived from the original on January 15, 2016. Retrieved December 30, 2015.
  15. ^ Holton, James R.; Curry, Judith A.; Pyle, J. A. (2003). Encyclopedia of atmospheric sciences. Academic Press. ISBN 9780122270901. Archived from the original on November 4, 2017.
  16. ^ "Where LightningStrikes". NASA Science. Science News. December 5, 2001. Archived from the original on July 16, 2010. Retrieved July 5, 2010.
  17. ^ Uman (1986) Ch. 8, p. 68.
  18. ^ "Kifuka – place where lightning strikes most often". Wondermondo. November 7, 2010. Archived from the original on October 1, 2011. Retrieved November 21, 2010.
  19. ^ "Annual Lightning Flash Rate". National Oceanic and Atmospheric Administration. Archived from the original on March 30, 2008. Retrieved February 8, 2009.
  20. ^ Fischetti, M. (2016) Lightning Hotspots, Scientific American 314: 76 (May 2016)
  21. ^ "Lightning Activity in Singapore". National Environmental Agency. 2002. Archived from the original on September 27, 2007. Retrieved September 24, 2007.
  22. ^ "Staying Safe in Lightning Alley". NASA. January 3, 2007. Archived from the original on July 13, 2007. Retrieved September 24, 2007.
  23. ^ Pierce, Kevin (2000). "Summer Lightning Ahead". Florida Environment.com. Archived from the original on October 12, 2007. Retrieved September 24, 2007.
  24. ^ Saunders, C. P. R. (1993). "A Review of Thunderstorm Electrification Processes". Journal of Applied Meteorology. 32 (4): 642–55. Bibcode:1993JApMe..32..642S. doi:10.1175/1520-0450(1993)032<0642:AROTEP>2.0.CO;2.
  25. ^ Ultraslow-motion video of stepped leader propagation: ztresearch.com Archived April 13, 2010, at the Wayback Machine
  26. ^ Goulde, R.H. (1977) "The lightning conductor", pp. 545–576 in Lightning Protection, R.H. Golde, Ed., Lightning, Vol. 2, Academic Press.
  27. ^ Stolzenburg, Maribeth; Marshall, Thomas C. (2008). "Charge Structure and Dynamics in Thunderstorms". Space Science Reviews. 137 (1–4): 355. Bibcode:2008SSRv..137..355S. doi:10.1007/s11214-008-9338-z.
  28. ^ Petersen, Danyal; Bailey, Matthew; Beasley, William H.; Hallett, John (2008). "A brief review of the problem of lightning initiation and a hypothesis of initial lightning leader formation". Journal of Geophysical Research. 113 (D17): D17205. Bibcode:2008JGRD..11317205P. doi:10.1029/2007JD009036.
  29. ^ Hooyberghs, Hans; Van Schaeybroeck, Bert; Moreira, André A.; Andrade, José S.; Herrmann, Hans J.; Indekeu, Joseph O. (2010). "Biased percolation on scale-free networks". Physical Review E. 81 (1): 011102. arXiv:0908.3786. Bibcode:2010PhRvE..81a1102H. doi:10.1103/PhysRevE.81.011102. PMID 20365318.
  30. ^ Kasemir, H. W. (1950) "Qualitative Übersicht über Potential-, Feld- und Ladungsverhaltnisse bei einer Blitzentladung in der Gewitterwolke" (Qualitative survey of the potential, field and charge conditions during a lightning discharge in the thunderstorm cloud) in Das Gewitter (The Thunderstorm), H. Israel, ed., Leipzig, Germany: Akademische Verlagsgesellschaft.
  31. ^ Ruhnke, Lothar H. (June 7, 2007) Death notice: Heinz Wolfram Kasemir. physicstoday.org
  32. ^ Saba, M. M. F.; Paiva, A. R.; Schumann, C.; Ferro, M. A. S.; Naccarato, K. P.; Silva, J. C. O.; Siqueira, F. V. C.; Custódio, D. M. (2017). "Lightning attachment process to common buildings". Geophysical Research Letters. 44 (9): 4368–4375. Bibcode:2017GeoRL..44.4368S. doi:10.1002/2017GL072796.
  33. ^ See, for example, here
  34. ^ "The Path of Least Resistance". July 2001. Archived from the original on January 4, 2016.
  35. ^ Idone, V. P.; Orville, R. E.; Mach, D. M.; Rust, W. D. (1987). "The propagation speed of a positive lightning return stroke". Geophysical Research Letters. 14 (11): 1150. Bibcode:1987GeoRL..14.1150I. doi:10.1029/GL014i011p01150.
  36. ^ Uman (1986) Ch. 5, p. 41.
  37. ^ Uman (1986) pp. 103–110.
  38. ^ a b c Warner, Tom (May 6, 2017). "Ground Flashes". ZT Research. Retrieved November 9, 2017.
  39. ^ Uman (1986) Ch. 9, p. 78.
  40. ^ Lightning Protection and Transient Overvoltage | VERDOLIN SOLUTIONS INC. | HIGH VOLTAGE POWER ENGINEERING SERVICES
  41. ^ V. Cooray, Mechanism of the Lightning Flash, in: The Lightning Flash, 2nd ed., V. Cooray (Ed.), The Institution of Engineering and Technology, London, United Kingdom, 2014, pp. 119–229
  42. ^ "NWS JetStream – The Positive and Negative Side of Lightning". National Oceanic and Atmospheric Administration. Archived from the original on July 5, 2007. Retrieved September 25, 2007.
  43. ^ Nag, Amitabh; Rakov, Vladimir A (2012). "Positive lightning: An overview, new observations, and inferences". Journal of Geophysical Research: Atmospheres. 117 (D8): n/a. Bibcode:2012JGRD..117.8109N. doi:10.1029/2012JD017545.
  44. ^ Hasbrouck, Richard. Mitigating Lightning Hazards Archived October 5, 2013, at the Wayback Machine, Science & Technology Review May 1996. Retrieved on April 26, 2009.
  45. ^ V.A. Rakov, M.A. Uman, Positive and bipolar lightning discharges to ground, in: Light. Phys. Eff., Cambridge University Press, 2003: pp. 214–240
  46. ^ U.A.Bakshi; M.V.Bakshi (January 1, 2009). Power System – II. Technical Publications. p. 12. ISBN 978-81-8431-536-3. Archived from the original on March 12, 2017.
  47. ^ Saba, Marcelo M. F; Schulz, Wolfgang; Warner, Tom A; Campos, Leandro Z. S; Schumann, Carina; Krider, E. Philip; Cummins, Kenneth L; Orville, Richard E (2010). "High-speed video observations of positive lightning flashes to ground". Journal of Geophysical Research: Atmospheres. 115 (D24): D24201. Bibcode:2010JGRD..11524201S. doi:10.1029/2010JD014330.
  48. ^ Antony H. Perez; Louis J. Wicker & Richard E. Orville (1997). "Characteristics of Cloud-to-Ground Lightning Associated with Violent Tornadoes". Weather Forecast. 12 (3): 428–37. Bibcode:1997WtFor..12..428P. doi:10.1175/1520-0434(1997)012<0428:COCTGL>2.0.CO;2.
  49. ^ a b Christian, Hugh J.; McCook, Melanie A. "A Lightning Primer – Characteristics of a Storm". NASA. Archived from the original on March 5, 2016. Retrieved February 8, 2009.
  50. ^ Boccippio, DJ; Williams, ER; Heckman, SJ; Lyons, WA; Baker, IT; Boldi, R (August 1995). "Sprites, ELF Transients, and Positive Ground Strokes". Science. 269 (5227): 1088–1091. Bibcode:1995Sci...269.1088B. doi:10.1126/science.269.5227.1088. PMID 17755531.
  51. ^ a b Lu, Gaopeng; Cummer, Steven A; Blakeslee, Richard J; Weiss, Stephanie; Beasley, William H (2012). "Lightning morphology and impulse charge moment change of high peak current negative strokes". Journal of Geophysical Research: Atmospheres. 117 (D4): n/a. Bibcode:2012JGRD..117.4212L. CiteSeerX 10.1.1.308.9842. doi:10.1029/2011JD016890.
  52. ^ a b Krehbiel, Paul R; Riousset, Jeremy A; Pasko, Victor P; Thomas, Ronald J; Rison, William; Stanley, Mark A; Edens, Harald E (2008). "Upward electrical discharges from thunderstorms". Nature Geoscience. 1 (4): 233. Bibcode:2008NatGe...1..233K. doi:10.1038/ngeo162.
  53. ^ Singer, Stanley (1971). The Nature of Ball Lightning. New York: Plenum Press. ISBN 978-0-306-30494-1.
  54. ^ Ball, Philip (January 17, 2014). "Focus:First Spectrum of Ball Lightning". Focus. 7. Archived from the original on January 18, 2014. Retrieved January 18, 2014.
  55. ^ Tennakone, Kirthi (2007). "Ball Lightning". Georgia State University. Archived from the original on February 12, 2008. Retrieved September 21, 2007.
  56. ^ Porter, Brett (1987). "Brett Porter, Photo in 1987, BBC:Ball lightning baffles scientists, day, 21 December, 2001, 00:26 GMT". Archived from the original on April 20, 2016.
  57. ^ Barry, James (1980), Ball Lightning and Bead Lightning, Springer, Boston, MA, ISBN 978-1-4757-1710-5
  58. ^ V. F. Minin, F. Kh. Baibulatov (1969). "On the nature of beaded lightning". Dokl. Akad. Nauk SSSR 795-798 188(4)
  59. ^ Robinson, Dan. "Weather Library: Lightning Types & Classifications". Archived from the original on February 15, 2013. Retrieved March 17, 2013.
  60. ^ Scott, A (2000). "The Pre-Quaternary history of fire". Palaeogeography, Palaeoclimatology, Palaeoecology. 164 (1–4): 281. Bibcode:2000PPP...164..281S. doi:10.1016/S0031-0182(00)00192-9.
  61. ^ Haby, Jeff. "What is heat lightning?". theweatherprediction.com. Archived from the original on November 4, 2016.
  62. ^ "Lightning Types and Classifications". Archived from the original on October 26, 2017. Retrieved October 26, 2017.
  63. ^ "Definition of Rocket Lightning, AMS Glossary of Meteorology". Archived from the original on August 17, 2007. Retrieved July 5, 2007.
  64. ^ "Glossary". National Oceanic and Atmospheric Administration. National Weather Service. Archived from the original on September 15, 2008. Retrieved September 2, 2008.
  65. ^ Marshall, Tim; David Hoadley (illustrator) (May 1995). Storm Talk. Texas.
  66. ^ Turman, B. N. (1977). "Detection of lightning superbolts". Journal of Geophysical Research. 82 (18): 2566–2568. Bibcode:1977JGR....82.2566T. doi:10.1029/JC082i018p02566.
  67. ^ "Archived copy" (PDF). Archived from the original (PDF) on March 4, 2016. Retrieved December 27, 2015.CS1 maint: archived copy as title (link)
  68. ^ Holzworth, R. H. (2019). "Global Distribution of Superbolts". Journal of Geophysical Research: Atmospheres. 124 (17–18): 9996–10005. Bibcode:2019JGRD..124.9996H. doi:10.1029/2019JD030975.
  69. ^ Saba, Marcelo M. F.; Schumann, Carina; Warner, Tom A.; Ferro, Marco Antonio S.; De Paiva, Amanda Romão; Helsdon, John; Orville, Richard E. (2016). "Upward lightning flashes characteristics from high-speed videos". Journal of Geophysical Research: Atmospheres. 121 (14): 8493–8505. Bibcode:2016JGRD..121.8493S. doi:10.1002/2016JD025137.
  70. ^ Warner, Tom A.; Lang, Timothy J.; Lyons, Walter A. (2014). "Synoptic scale outbreak of self-initiated upward lightning (SIUL) from tall structures during the central U.S. Blizzard of 1-2 February 2011". Journal of Geophysical Research: Atmospheres. 119 (15): 9530–9548. Bibcode:2014JGRD..119.9530W. doi:10.1002/2014JD021691.
  71. ^ "When Lightning Strikes Out of a Blue Sky". DNews. Archived from the original on November 1, 2015. Retrieved October 15, 2015.
  72. ^ Lawrence, D (November 1, 2005). "Bolt from the Blue". National Oceanic and Atmospheric Administration. Archived from the original on May 14, 2009. Retrieved August 20, 2009.
  73. ^ Jabr, Ferris (September 22, 2014). "Lightning-Strike Survivors Tell Their Stories". Outside. Archived from the original on September 28, 2014. Retrieved September 28, 2014.
  74. ^ Bond, D.W.; Steiger, S.; Zhang, R.; Tie, X.; Orville, R.E. (2002). "The importance of NOx production by lightning in the tropics". Atmospheric Environment. 36 (9): 1509–1519. Bibcode:2002AtmEn..36.1509B. doi:10.1016/s1352-2310(01)00553-2.
  75. ^ Pickering, K.E., Bucsela, E., Allen, D, Cummings, K., Li, Y., MacGorman, D., Bruning, E. 2014. Estimates of Lightning NOx Production Per Flash from OMI NO2 and Lightning Observations. XV International Conference on Atmospheric Electricity, 15–20, June 2014.
  76. ^ Wilson, C.T.R. (1925). "The acceleration of beta-particles in strong electric fields such as those of thunderclouds". Proceedings of the Cambridge Philosophical Society. 22 (4): 534–538. Bibcode:1925PCPS...22..534W. doi:10.1017/S0305004100003236.
  77. ^ Moore, C. B.; Eack, K. B.; Aulich, G. D.; Rison, W. (2001). "Energetic radiation associated with lightning stepped-leaders". Geophysical Research Letters. 28 (11): 2141. Bibcode:2001GeoRL..28.2141M. doi:10.1029/2001GL013140.
  78. ^ Dwyer, J. R.; Uman, M. A.; Rassoul, H. K.; Al-Dayeh, M.; Caraway, L.; Jerauld, J.; Rakov, V. A.; Jordan, D. M.; Rambo, K. J.; Corbin, V.; Wright, B. (2003). "Energetic Radiation Produced During Rocket-Triggered Lightning" (PDF). Science. 299 (5607): 694–697. Bibcode:2003Sci...299..694D. doi:10.1126/science.1078940. PMID 12560549. Archived (PDF) from the original on March 4, 2016.
  79. ^ Newitz, A. (September 2007) "Educated Destruction 101", Popular Science, p. 61.
  80. ^ Scientists close in on source of X-rays in lightning Archived September 5, 2008, at the Wayback Machine, Physorg.com, July 15, 2008. Retrieved July 2008.
  81. ^ Prostak, Sergio (April 11, 2013). "Scientists Explain Invisible 'Dark Lightning'". Sci-News.com. Archived from the original on June 20, 2013. Retrieved July 9, 2013.
  82. ^ Signature Of Antimatter Detected In Lightning – Science News Archived July 16, 2012, at the Wayback Machine. Sciencenews.org (December 5, 2009). Retrieved on June 23, 2012.
  83. ^ Köhn, C.; Ebert, U. (2015). "Calculation of beams of positrons, neutrons and protons associated with terrestrial gamma-ray flashes". J. Geophys. Res. Atmospheres. 23 (4): 1620–1635. Bibcode:2015JGRD..120.1620K. doi:10.1002/2014JD022229.
  84. ^ Köhn, C.; Diniz, G.; Harakeh, Muhsin (2017). "Production mechanisms of leptons, photons, and hadrons and their possible feedback close to lightning leaders". J. Geophys. Res. Atmospheres. 122 (2): 1365–1383. Bibcode:2017JGRD..122.1365K. doi:10.1002/2016JD025445. PMC 5349290. PMID 28357174.
  85. ^ "Lightning's 'NOx-ious' Impact On Pollution, Climate". Science News. Retrieved August 4, 2018.
  86. ^ "Surprise! Lightning has big effect on atmospheric chemistry". NASA. Retrieved August 4, 2018.
  87. ^ Pliny the Younger. "Pliny the Younger's Observations". Archived from the original on June 25, 2003. Retrieved July 5, 2007. Behind us were frightening dark clouds, rent by lightning twisted and hurled, opening to reveal huge figures of flame.
  88. ^ Dell'Amore, Christine (February 3, 2010) New Lightning Type Found Over Volcano? Archived October 20, 2012, at the Wayback Machine. National Geographic News.
  89. ^ Strangeway, Robert J. (1995). "Plasma Wave Evidence for Lightning on Venus". Journal of Atmospheric and Terrestrial Physics. 57 (5): 537–556. Bibcode:1995JATP...57..537S. doi:10.1016/0021-9169(94)00080-8. Archived from the original on October 12, 2007. Retrieved September 24, 2007.
  90. ^ Uman (1986) Ch. 4, pp. 26–34.
  91. ^ Colvin, J. D.; Mitchell, C. K.; Greig, J. R.; Murphy, D. P.; Pechacek, R. E.; Raleigh, M. (1987). "An empirical study of the nuclear explosion-induced lightning seen on IVY-MIKE". Journal of Geophysical Research. 92 (D5): 5696–5712. Bibcode:1987JGR....92.5696C. doi:10.1029/JD092iD05p05696.
  92. ^ Uman (1986) pp. 103–110
  93. ^ Fink, Micah. "How Lightning Forms". PBS.org. Public Broadcasting System. Archived from the original on September 29, 2007. Retrieved September 21, 2007.
  94. ^ National Weather Service (2007). "Lightning Safety". National Weather Service. Archived from the original on October 7, 2007. Retrieved September 21, 2007.
  95. ^ Uman (1986) p. 61.
  96. ^ Rakov and Uman, p. 84.
  97. ^ Thomson, E. M.; Uman, M. A.; Beasley, W. H. (January 1985). "Speed and current for lightning stepped leaders near ground as determined from electric field records". Journal of Geophysical Research. 90 (D5): 8136. Bibcode:1985JGR....90.8136T. doi:10.1029/JD090iD05p08136.
  98. ^ The Franklin Institute. Ben Franklin's Lightning Bells Archived December 12, 2008, at the Wayback Machine. Retrieved December 14, 2008.
  99. ^ Rimstar.org Video demonstration of how Franklin's Bell worked Archived August 6, 2016, at the Wayback Machine
  100. ^ "Lightning Detection Systems". Archived from the original on September 17, 2008. Retrieved July 27, 2007. NOAA page on how the U.S. national lightning detection system operates
  101. ^ "Vaisala Thunderstorm Online Application Portal". Archived from the original on September 28, 2007. Retrieved July 27, 2007. Real-time map of lightning discharges in U.S.
  102. ^ Volland, H. (ed) (1995) Handbook of Atmospheric Electrodynamics, CRC Press, Boca Raton, ISBN 0849386470.
  103. ^ "NASA Dataset Information". NASA. 2007. Archived from the original on September 15, 2007. Retrieved September 11, 2007.
  104. ^ "NASA LIS Images". NASA. 2007. Archived from the original on October 12, 2007. Retrieved September 11, 2007.
  105. ^ "NASA OTD Images". NASA. 2007. Archived from the original on October 12, 2007. Retrieved September 11, 2007.
  106. ^ "GLM │ GOES-R Series". www.goes-r.gov.
  107. ^ Sima, Richard (March 13, 2020). "Mapping Lightning Strikes from Space". Eos.
  108. ^ Bruning, Eric C.; Tillier, Clemens E.; Edgington, Samantha F.; Rudlosky, Scott D.; Zajic, Joe; Gravelle, Chad; Foster, Matt; Calhoun, Kristin M.; Campbell, P. Adrian; Stano, Geoffrey T.; Schultz, Christopher J.; Meyer, Tiffany C. (2019). "Meteorological Imagery for the Geostationary Lightning Mapper". Journal of Geophysical Research: Atmospheres. 124 (24): 14285–14309. doi:10.1029/2019JD030874. ISSN 2169-8996.
  109. ^ Kridler, Chris (July 25, 2002). "Triggered lightning video" (video). requires QuickTime. Chris Kridler's Sky Diary. Archived from the original on September 15, 2007. Retrieved September 24, 2007.
  110. ^ Koopman, David W. & Wilkerson, T. D. (1971). "Channeling of an Ionizing Electrical Streamer by a Laser Beam". Journal of Applied Physics. 42 (5): 1883–1886. Bibcode:1971JAP....42.1883K. doi:10.1063/1.1660462.
  111. ^ Saum, K. A. & Koopman, David W. (November 1972). "Discharges Guided by Laser-Induced Rarefaction Channels". Physics of Fluids. 15 (11): 2077–2079. Bibcode:1972PhFl...15.2077S. doi:10.1063/1.1693833.
  112. ^ Schubert, C. W. (1977). "The laser lightning rod: A feasibility study". Technical Report AFFDL-TR-78-60, ADA063847, [U.S.] Air Force Flight Dynamics Laboratory, Wright-Patterson AFB [Air Force Base] Ohio. Archived from the original on December 24, 2008. Retrieved December 13, 2018.
  113. ^ Schubert, Charles W. & Lippert, Jack R. (1979). "Investigation into triggering lightning with a pulsed laser" (PDF). In Guenther, A. H. & Kristiansen, M. (eds.). Proceedings of the 2nd IEEE International Pulse Power Conference, Lubbock, Texas, 1979. Piscataway, New Jersey: IEEE. pp. 132–135.[permanent dead link]
  114. ^ Lippert, J. R. (1977). "A laser-induced lightning concept experiment". Final Report. Bibcode:1978affd.rept.....L.
  115. ^ Rakov and Uman, pp. 296–299.
  116. ^ "UNM researchers use lasers to guide lightning". Campus News, The University of New Mexico. January 29, 2001. Archived from the original on July 9, 2012. Retrieved July 28, 2007.
  117. ^ Khan, N.; Mariun, N.; Aris, I.; Yeak, J. (2002). "Laser-triggered lightning discharge". New Journal of Physics. 4 (1): 61. Bibcode:2002NJPh....4...61K. doi:10.1088/1367-2630/4/1/361.
  118. ^ Rambo, P.; Biegert, J.; Kubecek, V.; Schwarz, J.; Bernstein, A.; Diels, J.-C.; Bernstein, R. & Stahlkopf, K. (1999). "Laboratory tests of laser-induced lightning discharge". Journal of Optical Technology. 66 (3): 194–198. Bibcode:1999JOptT..66..194R. doi:10.1364/JOT.66.000194.
  119. ^ Ackermann, R.; Stelmaszczyk, K.; Rohwetter, P.; MéJean, G.; Salmon, E.; Yu, J.; Kasparian, J.; MéChain, G.; Bergmann, V.; Schaper, S.; Weise, B.; Kumm, T.; Rethmeier, K.; Kalkner, W.; WöSte, L.; Wolf, J. P. (2004). "Triggering and guiding of megavolt discharges by laser-induced filaments under rain conditions". Applied Physics Letters. 85 (23): 5781. Bibcode:2004ApPhL..85.5781A. doi:10.1063/1.1829165.
  120. ^ Wang, D.; Ushio, T.; Kawasaki, Z. -I.; Matsuura, K.; Shimada, Y.; Uchida, S.; Yamanaka, C.; Izawa, Y.; Sonoi, Y.; Simokura, N. (1995). "A possible way to trigger lightning using a laser". Journal of Atmospheric and Terrestrial Physics. 57 (5): 459. Bibcode:1995JATP...57..459W. doi:10.1016/0021-9169(94)00073-W.
  121. ^ "Terawatt Laser Beam Shot in the Clouds Provokes Lightning Strike". Archived from the original on April 20, 2008. News report based on: Kasparian, J.; Ackermann, R.; André, Y. B.; Méchain, G. G.; Méjean, G.; Prade, B.; Rohwetter, P.; Salmon, E.; Stelmaszczyk, K.; Yu, J.; Mysyrowicz, A.; Sauerbrey, R.; Woeste, L.; Wolf, J. P. (2008). "Electric events synchronized with laser filaments in thunderclouds". Optics Express. 16 (8): 5757–63. Bibcode:2008OExpr..16.5757K. doi:10.1364/OE.16.005757. PMID 18542684.[permanent dead link]
  122. ^ "Laser Triggers Electrical Activity in Thunderstorm for the First Time". Newswise. Archived from the original on December 20, 2008. Retrieved August 6, 2008. News report based on Kasparian et al. 2008, pp. 5757–5763
  123. ^ Graham, K.W.T. (1961). "The Re-magnetization of a Surface Outcrop by Lightning Currents". Geophysical Journal International. 6 (1): 85. Bibcode:1961GeoJ....6...85G. doi:10.1111/j.1365-246X.1961.tb02963.x.
  124. ^ Cox A. (1961). Anomalous Remanent Magnetization of Basalt Archived May 29, 2013, at the Wayback Machine. U.S. Geological Survey Bulletin 1038-E, pp. 131–160.
  125. ^ Bevan B. (1995). "Magnetic Surveys and Lightning". Near Surface Views (newsletter of the Near Surface Geophysics section of the Society of Exploration Geophysics). October 1995, pp. 7–8.
  126. ^ Wasilewski, Peter; Günther Kletetschka (1999). "Lodestone: Nature's only permanent magnet – What it is and how it gets charged" (PDF). Geophysical Research Letters. 26 (15): 2275–78. Bibcode:1999GeoRL..26.2275W. doi:10.1029/1999GL900496. Archived from the original (PDF) on October 3, 2006. Retrieved July 13, 2009.
  127. ^ Sakai, H. S.; Sunada, S.; Sakurano, H. (1998). "Study of Lightning Current by Remanent Magnetization". Electrical Engineering in Japan. 123 (4): 41–47. doi:10.1002/(SICI)1520-6416(199806)123:4<41::AID-EEJ6>3.0.CO;2-O.
  128. ^ Archaeo-Physics, LLC | Lightning-induced magnetic anomalies on archaeological sites Archived October 12, 2007, at the Wayback Machine. Archaeophysics.com. Retrieved on June 23, 2012.
  129. ^ Maki, David (2005). "Lightning strikes and prehistoric ovens: Determining the source of magnetic anomalies using techniques of environmental magnetism" (PDF). Geoarchaeology. 20 (5): 449–459. CiteSeerX 10.1.1.536.5980. doi:10.1002/gea.20059. Archived (PDF) from the original on May 15, 2013.
  130. ^ Verrier, V.; Rochette, P. (2002). "Estimating Peak Currents at Ground Lightning Impacts Using Remanent Magnetization". Geophysical Research Letters. 29 (18): 1867. Bibcode:2002GeoRL..29.1867V. doi:10.1029/2002GL015207.
  131. ^ "Magnetically Induced Hallucinations Explain Ball Lightning, Say Physicists".
  132. ^ "High-speed solar winds increase lightning strikes on Earth". Iop.org. May 15, 2014. Retrieved May 19, 2014.
  133. ^ Gomes, Chandima; Gomes, Ashen (2014). "Lightning; Gods and sciences". 2014 International Conference on Lightning Protection (ICLP). pp. 1909–1918. doi:10.1109/ICLP.2014.6973441. ISBN 978-1-4799-3544-4.
  134. ^ Uman (1986) Ch. 6, p. 47.
  135. ^ "Jesus actor struck by lightning". BBC News. October 23, 2003. Archived from the original on September 17, 2007.