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			<titleStmt><title level='a'>First Time‐Resolved Leader Spectra Associated With a Downward Terrestrial Gamma‐Ray Flash Detected at the Telescope Array Surface Detector</title></titleStmt>
			<publicationStmt>
				<publisher>Journal of Geophysical Research: Atmospheres, 129, e2024JD041720. https://doi.org/10.1029/2024JD041720</publisher>
				<date>12/28/2024</date>
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				<bibl> 
					<idno type="par_id">10598467</idno>
					<idno type="doi">10.1029/2024JD041720</idno>
					<title level='j'>Journal of Geophysical Research: Atmospheres</title>
<idno>2169-897X</idno>
<biblScope unit="volume">129</biblScope>
<biblScope unit="issue">24</biblScope>					

					<author>N Kieu</author><author>R U Abbasi</author><author>M_M F Saba</author><author>J W Belz</author><author>P R Krehbiel</author><author>M A Stanley</author><author>F J Gordillo‐Vazquez</author><author>M Passas‐Varo</author><author>T Warner</author><author>W Rison</author><author>D Rodeheffer</author><author>D R da_Silva</author><author>D Mazzucco</author><author>T Knight</author><author>I T Cruz</author><author>J Remington</author><author>J Mazich</author><author>R LeVon</author><author>K Smout</author><author>A Petrizze</author><author>T Abu‐Zayyad</author><author>M Allen</author><author>D R Bergman</author><author>I Buckland</author><author>W Campbell</author><author>B G Cheon</author><author>K Endo</author><author>A Fedynitch</author><author>T Fujii</author><author>K Fujisue</author><author>K Fujita</author><author>M Fukushima</author><author>G Furlich</author><author>Z Gerber</author><author>N Globus</author><author>W Hanlon</author><author>N Hayashida</author><author>H He</author><author>K Hibino</author><author>R Higuchi</author><author>D Ikeda</author><author>T Ishii</author><author>D Ivanov</author><author>S Jeong</author><author>C_C H Jui</author><author>K Kadota</author><author>F Kakimoto</author><author>O Kalashev</author><author>K Kasahara</author><author>Y Kawachi</author><author>K Kawata</author><author>I Kharuk</author><author>E Kido</author><author>H B Kim</author><author>JiHee Kim</author><author>JiHyun Kim</author><author>S W Kim</author><author>R Kobo</author><author>I Komae</author><author>K Komatsu</author><author>K Komori</author><author>C Koyama</author><author>M Kudenko</author><author>M Kuroiwa</author><author>Y Kusumori</author><author>M Kuznetsov</author><author>Y J Kwon</author><author>K H Lee</author><author>M J Lee</author><author>B Lubsandorzhiev</author><author>J P Lundquist</author><author>A Matsuzawa</author><author>J A Mathews</author><author>J N Matthews</author><author>K Mizuno</author><author>M Mori</author><author>M Murakami</author><author>S Nagataki</author><author>M Nakahara</author><author>T Nakamura</author><author>T Nakayama</author><author>Y Nakayama</author><author>T Nonaka</author><author>S Ogio</author><author>H Ohoka</author><author>N Okazaki</author><author>M Onishi</author><author>A Oshima</author><author>H Oshima</author><author>S Ozawa</author><author>I H Park</author><author>K Y Park</author><author>M Potts</author><author>M Przybylak</author><author>M S Pshirkov</author><author>C Rott</author><author>G I Rubtsov</author><author>D Ryu</author><author>H Sagawa</author><author>N Sakaki</author><author>R Sakamoto</author><author>T Sako</author><author>N Sakurai</author><author>S Sakurai</author><author>D Sato</author><author>S Sato</author><author>K Sekino</author><author>T Shibata</author><author>J Shikita</author><author>H Shimodaira</author><author>B K Shin</author><author>H S Shin</author><author>K Shinozaki</author><author>J D Smith</author><author>P Sokolsky</author><author>B T Stokes</author><author>T A Stroman</author><author>Y Takagi</author><author>K Takahashi</author><author>M Takeda</author><author>R Takeishi</author><author>A Taketa</author><author>M Takita</author><author>Y Tameda</author><author>K Tanaka</author><author>M Tanaka</author><author>S B Thomas</author><author>G B Thomson</author><author>P Tinyakov</author><author>I Tkachev</author><author>T Tomida</author><author>S Troitsky</author><author>Y Tsunesada</author><author>S Udo</author><author>F Urban</author><author>I A Vaiman</author><author>M Vrábel</author><author>D Warren</author><author>K Yamazaki</author><author>Y Zhezher</author><author>Z Zundel</author><author>J Zvirzdin</author>
				</bibl>
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			<abstract><ab><![CDATA[<title>Abstract</title> <p>Optical emissions associated with Terrestrial Gamma ray Flashes (TGFs) have recently become important subjects in space‐based and ground‐based observations as they can help us understand how TGFs are produced during thunderstorms. In this paper, we present the first time‐resolved leader spectra of the optical component associated with a downward TGF. The TGF was observed by the Telescope Array Surface Detector (TASD) simultaneously with other lightning detectors, including a Lightning Mapping Array (LMA), an INTerFerometer (INTF), a Fast Antenna (FA), and a spectroscopic system. The spectroscopic system recorded leader spectra at 29,900 frames per second (33.44 s time resolution), covering a spectral range from 400 to 900nm, with 2.1nm per pixel. The recordings of the leader spectra began 11.7ms before the kA return stroke and at a height of 2.37km above the ground. These spectra reveal that optical emissions of singly ionized nitrogen and oxygen occur between 167 s before and 267 s after the TGF detection, while optical emissions of neutrals (H I, 656nm; N I, 744nm, and O I, 777nm) occur right at the moment of the detection. The time‐dependent spectra reveal differences in the optical emissions of lightning leaders with and without downward TGFs.</p>]]></ab></abstract>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1.">Introduction</head><p>Terrestrial gamma ray flashes (TGFs) are intense bursts of gamma rays with photon energies reaching several tens of MeV (J. R. <ref type="bibr">Dwyer &amp; Smith, 2005)</ref>. TGFs were first detected by the Burst and Transient Source Experiment (BATSE) in 1994 <ref type="bibr">(Fishman et al., 1994)</ref>, and then by other satellites such as the Reuven Ramaty High Energy Solar Spectroscopic Imager (RHESSI) <ref type="bibr">(Gjesteland et al., 2012;</ref><ref type="bibr">Grefenstette et al., 2009;</ref><ref type="bibr">Smith et al., 2005)</ref>, the Fermi Gamma ray Burst Monitor (GBM) (M. <ref type="bibr">Briggs et al., 2010</ref>; M. S. <ref type="bibr">Briggs et al., 2013)</ref>, the Astrorivelatore Gamma a Immagini Leggero (AGILE) satellite <ref type="bibr">(Marisaldi et al., 2010a</ref><ref type="bibr">(Marisaldi et al., , 2010b;;</ref><ref type="bibr">Tavani et al., 2011)</ref>, and the Atmosphere-Space Interactions Monitor (ASIM) <ref type="bibr">(Neubert et al., 2020;</ref><ref type="bibr">&#216;stgaard et al., 2019)</ref>. In addition, TGFs have also been observed by ground-based observations (J. <ref type="bibr">Dwyer et al., 2004;</ref><ref type="bibr">J. Dwyer et al., 2012;</ref><ref type="bibr">Tran et al., 2015;</ref><ref type="bibr">Hare et al., 2016;</ref><ref type="bibr">Abbasi et al., 2017</ref><ref type="bibr">Abbasi et al., , 2018;;</ref><ref type="bibr">Belz et al., 2020;</ref><ref type="bibr">Ortberg et al., 2020;</ref><ref type="bibr">Wada et al., 2020</ref><ref type="bibr">Wada et al., , 2022;;</ref><ref type="bibr">Abbasi et al., 2023;</ref><ref type="bibr">Chaffin et al., 2024)</ref>.</p><p>Observations showed that TGF spectra are consistent with bremsstrahlung emissions (J. R. <ref type="bibr">Dwyer &amp; Smith, 2005;</ref><ref type="bibr">Marisaldi, Fuschino, et al., 2010;</ref><ref type="bibr">Lindanger et al., 2022)</ref>. The resulting gamma bursts are thought to be produced by relativistic runaway electron avalanches (RREAs), accelerated by strong electric fields inside thunderclouds (J. R. <ref type="bibr">Dwyer &amp; Smith, 2005</ref>; J. R. <ref type="bibr">Dwyer, 2008;</ref><ref type="bibr">Carlson et al., 2007;</ref><ref type="bibr">Gjesteland et al., 2010;</ref><ref type="bibr">Xu et al., 2012;</ref><ref type="bibr">Marisaldi, Argan, et al., 2010;</ref><ref type="bibr">Tavani et al., 2011;</ref><ref type="bibr">Celestin et al., 2012)</ref>. Calculations based on RHESSI observations show that for each TGF, the thunderstorm must have produced about 10 16 runaway electrons for a 21 km source and about 10 17 for a 15 km source (J. R. <ref type="bibr">Dwyer &amp; Smith, 2005)</ref>. With a large number of charged particles at the source, RREAs alone are not able to explain the phenomenon. There are two possible models that could explain the mechanism: the relativistic feedback discharge (RFD) model (A. <ref type="bibr">Gurevich et al., 1992;</ref><ref type="bibr">A. V. Gurevich &amp; Zybin, 2001;</ref><ref type="bibr">L. P. Babich, 2005;</ref><ref type="bibr">J. Dwyer, 2003;</ref><ref type="bibr">J. R. Dwyer, 2005</ref><ref type="bibr">J. R. Dwyer, , 2007</ref><ref type="bibr">J. R. Dwyer, , 2012) )</ref> and the lightning leader model, also known as the thermal runaway electron model (A. <ref type="bibr">Gurevich et al., 2007;</ref><ref type="bibr">Carlson et al., 2009;</ref><ref type="bibr">Celestin et al., 2012;</ref><ref type="bibr">J. R. Dwyer, 2008</ref>; J. R. <ref type="bibr">Dwyer &amp; Cummer, 2013;</ref><ref type="bibr">K&#246;hn &amp; Ebert, 2015;</ref><ref type="bibr">K&#246;hn et al., 2017;</ref><ref type="bibr">K&#246;hn, Chanrion, et al., 2020;</ref><ref type="bibr">Xu et al., 2015)</ref>. Although the two models are not mutually exclusive, their roles are not yet fully understood. Additional observations from ground and space-based platforms are needed to understand the mechanisms behind the TGF production better.</p><p>Since the first optical emissions associated with TGFs were detected by RHESSI and LIS <ref type="bibr">(&#216;stgaard et al., 2013)</ref>, satellite observations and modeling studies have focused primarily on the timing relationship between optical emissions and TGF production <ref type="bibr">(Bj&#248;rge-Engeland et al., 2022;</ref><ref type="bibr">Neubert et al., 2020;</ref><ref type="bibr">Skeie et al., 2022;</ref><ref type="bibr">&#216;stgaard et al., 2019;</ref><ref type="bibr">&#216;stgaard et al., 2021)</ref>. These subsequent observations show that for TGF detected from space, optical emissions associated to the TGF were always detected at the time of the TGF or after it. However, we show in the present investigation that, for downward TGFs, optical emissions associated to the TGF can also occur before it, as previously reported by <ref type="bibr">Abbasi et al. (2023)</ref>.</p><p>For ground-based observations of downward TGFs, the first optical emissions associated with TGFs were recently reported by <ref type="bibr">Abbasi et al. (2023)</ref>, based on observations at the Telescope Array Surface Detector (TASD) in west-central Utah. The optical emissions were observed to occur during Initial Breakdown Pulses (IBPs) and branching of the stepped leader of a negative-polarity cloud to ground (CG) flash during its downward development below the cloud base. The observations were based on the luminosity measurements of the scattered light from the downward leader recorded by a high-speed camera (25 &#956;s time resolution), which constituted the sum of the intensities between 400 and 1,050 nm.</p><p>To enhance our understanding of the atomic and molecular components involved in the optical observations, we installed a spectroscopic measurement system at the TASD site. The setup enables us to observe the optical components of leaders associated with TGFs on a time-resolved basis. The spectroscopic system records the optical signals at different spectral lines, facilitating the identification of the chemical components within the optical emissions from the leaders. By correlating the leader spectra with TGF detections from the TASD, we aim to delineate the chemical composition of the lightning flash stages that are conducive to TGF production from those that are not.</p><p>Unlike return strokes, the leader phase of a lightning flash is characterized by a range of weakly luminous events, posing challenges for their observations. Consequently, there have been relatively few reported observations of the leader spectra. Most of these observations were recorded just a few hundred microseconds before the return strokes and a few hundred meters above the ground. The first stepped-leader spectrum was recorded on film from 560 to 660 nm by <ref type="bibr">Orville (1968)</ref>. Several years later, <ref type="bibr">Orville (1975)</ref> reported spectra of five dart leaders from 398 to 510 nm. Thanks to the development of new digital high-speed cameras, leader spectra have been observed for more events and over wider spectral ranges. <ref type="bibr">Warner et al. (2011)</ref> recorded five stepped leader spectra from 600 to 1,050 nm at 10,000 frames per second. <ref type="bibr">Cen et al. (2015)</ref> presented spectra of five dart leaders observed from 400 to 900 nm at 9,110 frames per second. Recently, <ref type="bibr">Harley et al. (2021)</ref> reported on spectra of a bolt from the blue (BFB) lightning stepped leader in the spectral range from 400 to 900 nm. At the time of writing this work, no observations were reported on the spectroscopy of the initial leader stages of lightning in correlation with the initial breakdown pulses stage.</p><p>In this work, we present the first time-resolved leader spectra of the optical components in association with downward TGF detection. The spectra were observed from 400 to 900 nm, with time resolutions of 33.44 &#956;s recorded during the initial breakdown pulse stage of lighting. These spectra show that the optical emissions can occur before the downward TGF occurs. After the introduction (Section 1), this study is structured into three additional sections. Section 2 explains the experimental setup and includes a brief introduction to all instruments involved in the observation. Section 3 shows the TGF observations by the TASD and other lightning detectors at the TASD site. Finally, Section 4 focuses on the spectral analysis of the return strokes and leaders associated with the TGF detection.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.">Experimental Setup</head><p>The experiment was conducted at the Telescope Array Surface Detectors (TASDs) site. The TASDs recorded the TGF waveform, while other lightning detectors captured lightning information from the flash that produced the TGF. The spectroscopic system was housed in the same building as other lightning detectors, including a Lightning Mapping Array (LMA), an Interferometer (INTF), and a Fast Antenna (FA). Below are brief introductions to these instruments; more details can be found in <ref type="bibr">Abu-Zayyad et al. (2012)</ref>; <ref type="bibr">Abbasi et al. (2017</ref><ref type="bibr">Abbasi et al. ( , 2018))</ref>; <ref type="bibr">Belz et al. (2020)</ref>; <ref type="bibr">Abbasi et al. (2023)</ref>.</p><p>The TASD is a ground-based telescope observatory located in the desert west of Delta, Utah. It consists of 507 Scintillator Detectors (SDs), each with an area of 3 m 2 and 1.2 km away from each other, covering an area of 700 km 2 . The TASD was primarily designed to detect the Extensive Air Shower (EAS) charged components with a sampling rate of 20 ns. The TASD gets triggered when three adjacent SDs observe a signal greater than 3 Minimum Ionizing Particles within 8 &#956;s (&#8764;150 FADC counts). When a trigger event occurs, the signals from all individually triggered SDs within &#177;32 &#956;s are recorded. More details of the TASDs can be found in <ref type="bibr">Abu-Zayyad et al. (2012)</ref>.</p><p>The Lightning Mapping Array (LMA) consisted of 11 stations deployed across the 700 km 2 area, covering the TASD site. Developed by the Langmuir Laboratory group at New Mexico Tech <ref type="bibr">(Rison et al., 1999;</ref><ref type="bibr">Thomas et al., 2004)</ref>, the LMA determines three-dimensional locations of impulsive VHF radiation events in successive 80 &#956;s time intervals. For the present study, the LMA observations were used to determine the plan distance to the TGF events.</p><p>The INTerFerometer (INTF) was installed in 2018, 5 km to the east of the TASD site. The INTF records broadband (20-80 MHz) waveforms at 180 MHz from three flat-plate receiving antennas. The INTF data was used to determine the two-dimensional azimuth and elevation arrival directions of the VHF radiation with submicrosecond resolution <ref type="bibr">(Stock et al., 2014)</ref>.</p><p>The Fast electric field change Antenna (FA) provided high resolution (180 MHz) measurements of the lowfrequency discharge sferics, which are crucial to interpreting the INTF and LMA observations <ref type="bibr">(Belz et al., 2020;</ref><ref type="bibr">Liu et al., 2019</ref>).</p><p>The spectroscopic system was installed in 2022, housed in the same building as the INTF system host PC. It consists of a grism (diffraction grating plus prism, 600 lines/mm) placed in front of a high-speed camera mounted with a 14 mm lens (F/2.8). The high-speed camera is a monochrome Phantom v711 operating at 29,900 frames per second (33.44 &#956;s time resolution) with an exposure time of 14.9 &#956;s. The spectra images were recorded on a sensor size of 880 &#215; 227 pixels, covering a spectral range from 400 to 900 nm. The camera's field of view (84&#176;) covered most of the TASD's area. The system was triggered automatically by changes in luminosity detected by the camera.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.">TGF Observation at the TASD Site</head><p>On 10 August 2022, a TGF was detected at the westernmost part of the Telescope Array Surface Detectors (TASD) at 23:53:59.182,259 UTC. The TGF was produced by the initial downward leader of a negative cloud-toground flash, whose ensuing return stroke had a peak current of -18 kA, as determined by the National Lightning Detection Network (NLDN). Data collected from NLDN, LMA, TASD, and INTF instruments have shown that the TGF source altitude was 2.37 km above the ground and 32.3 km away from the high-speed camera, as shown in the left panel of Figure <ref type="figure">1</ref>.</p><p>The right panel of Figure <ref type="figure">1</ref> shows the footprint of the TGF at the different TASD stations, indicating their energy deposit and arrival times. Numbers on each circle indicate the energy deposit in Vertical Equivalent Muons (VEMs), where each VEM equals 2.04 MeV, and circle sizes are proportional to the energy deposit in the log scale. The TASD recorded a total energy deposit of 150 MeV for the TGF. The two-dimensional velocity of the radio sources observed by the INTF and associated with the TGF observation was found to be 5.0 &#215; 10 7 m/s. This was calculated based on a linear fit of elevation versus time, as previously discussed in <ref type="bibr">(Abbasi et al., 2023;</ref><ref type="bibr">Belz et al., 2020)</ref>. Details of the observations from various detectors are summarized in Table <ref type="table">1</ref>.</p><p>Figure <ref type="figure">2</ref> shows the signal waveforms of the TGF observed in conjunction with time-matching data from the Fast Antenna (FA) and the Interferometer (INTF). Note that the TGF detected time plotted in the figure differs from the detected time indicated in Table <ref type="table">1</ref> due to the distance between the TASD detectors and the INTF/FA/Camera location, as illustrated in Figure <ref type="figure">1</ref>. A time shift of 98 &#956;s, utilizing the iteration procedure described in <ref type="bibr">Belz et al. (2020)</ref>, was added to the TASD observed time to match it with the time detected by the INTF, FA, and camera.</p><p>The upper panel of Figure <ref type="figure">2</ref> shows 15 ms of observations from the start of the lightning flash to the return stroke and a zoomed-in view of a 0.28 ms interval centered around the TGF detection time. The TGF waveform observations are colored according to their arrival times, as shown Figure <ref type="figure">1</ref>. The TGF was observed during the initial breakdown pulse, as seen in the FA waveform and was accompanied by fast (&#8764;5 &#215; 10 7 m/s) downward development of the VHF sources in the INTF data. The results are consistent with previous observations at the TASD <ref type="bibr">(Abbasi et al., 2017</ref><ref type="bibr">(Abbasi et al., , 2018</ref><ref type="bibr">(Abbasi et al., , 2023;;</ref><ref type="bibr">Belz et al., 2020)</ref> that TGFs are produced in association with the Initial Breakdown Pulses (IBPs) during the downward-developing leader phase.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Journal of Geophysical Research: Atmospheres</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>10.1029/2024JD041720</head><p>Finally, it should be noted that the TGF was detected at the very northwestern edge of the TASD and that the LMA sources during the first few milliseconds of the flash were located about a kilometer or so southwest of the TASD's corner area where the detections were clustered. However, the NLDN shows that the ensuing return stroke occurred almost precisely at the corner of the cluster (blue star in the footprint of Figure <ref type="figure">1</ref>). This suggests that additional gamma ray emissions may occur outside the TASD, either associated with earlier phases of the leader or with this gamma ray observation, indicating that our current observations represent only a lower limit of the footprint/energy deposited by the TGF observed.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.">Spectroscopic Data Analysis</head><p>The spectroscopic system was housed at the TASD site, facing the TASD area. The camera's field of view is limited by the two green lines, as shown in Figure <ref type="figure">1</ref>. The system consists of a grism placed in front of a high-speed camera mounted with a 14 mm lens. This system is known as a slitless spectrograph.</p><p>For a slitless spectrograph, the wavelength identification and the spectral resolution vary and depend heavily on the location of the lightning channel. Therefore, to enhance the accuracy of the data processing, we first processed   Journal of Geophysical Research: Atmospheres 10.1029/2024JD041720</p><p>the return stroke images due to their stronger intensity compared to the leader images, then, we applied the same process to the leader images.</p><p>In this section, we present the time-resolved spectra of the return stroke and leaders of the lightning flash associated with the TGF. The section is divided into two parts: the first part focuses on the time-resolved spectra of the return stroke, which aids in wavelength identification. The second part examines the optical emissions from leader spectra related to TGF production, followed by a discussion of the spectroscopic results in the context of detecting downward TGFs.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.1.">Time-Resolved Spectra of Return Stroke</head><p>The time-resolved spectra of the -18 kA cloud-to-ground return stroke were analyzed by the first order of spectral images captured by the high-speed camera. The raw images are shown in the left panel of Figure <ref type="figure">3</ref>. These images display a sequence of the first five frames (167 &#956;s in total) of the return stroke, including the zero and first-order of the dispersion. The dispersion was caused when a white light beam passes through a grism (a combination of a prism and a diffraction grating), creating interference of different wavelengths. This results in a central maximum (zero order) and other rainbow orders, such as the first, second, third order, etc.</p><p>We began by cropping the spectral images near the flash tip of the first order of the dispersion, as illustrated by the white-border rectangles in Figure <ref type="figure">3</ref>. The white rectangle regions 230 &#215; four pixels are the same for the five return stroke images. We then summed over four rows of this area to enhance the signal-to-noise ratio of the uncalibrated spectral. To flatten these spectra, we applied a polynomial fit to the image background and subtracted it. We assigned wavelength values by identifying strong emission lines according to well-known lightning spectra shown in previous works <ref type="bibr">(Warner et al., 2011;</ref><ref type="bibr">Walker &amp; Christian, 2017</ref><ref type="bibr">, 2019;</ref><ref type="bibr">N. Kieu et al., 2021)</ref>. Finally, we followed the National Institute of Standards and Technology (NIST) Atomic Spectra Database <ref type="bibr">(Kramida et al., 2012)</ref> to identify others. The resulting time-resolved spectra of the return stroke are displayed sequentially from top to bottom, as shown in the right panel of Figure <ref type="figure">3</ref>. The first spectrum is dominated by singly ionized nitrogen lines at 422 nm, 444 nm, 463 nm, 500 nm, 568 nm, 594 nm, 616 nm, 635 nm, and a singly ionized oxygen line at 519 nm, as shown in blue colors. Neutral emissions of hydrogen (656 nm), nitrogen (744 nm), and oxygen (777 and 844 nm), as shown in red colors, are also present but exhibit lower intensity, except the neutral hydrogen, H I at 656 nm. Please note that the emission intensity at 656 nm could be caused by the overlapping of two singly ionized nitrogen lines, N II at 648 and 661 nm, due to the limitations of our spectral resolutions (2.1 nm per pixel). These two emissions are well-known in the spectra of the return stroke.</p><p>From the second spectrum onward, spectral lines of singly ionized species disappear while optical emissions from some neutral species become significantly more prominent, O I lines at 744 nm, 777 nm, and 844 nm, and additional (but relatively weak) neutral oxygen lines at 715 nm, 795 nm, and 822 nm emerge. In fact, all these neutral lines last up to hundreds of microseconds. The presence of ion lines in lightning spectra indicated larger electron/gas temperature in the lightning channel (N. <ref type="bibr">Kieu et al., 2020)</ref>, from which we can consider that the temperature/energy decreases from the second frame in Figure <ref type="figure">3</ref>.</p><p>The presence of ion and neutral lines in the recorded spectra can provide a rough estimation of the electron/gas temperature of the hot plasma channel of the return strokes and leaders. In general, more energy is required to produce and excite ions than to produce and excite neutrals from air molecules (N 2 , O 2 , H 2 ). For example, the production (starting from N 2 ) of singly ionized nitrogen N II emitting at 500 nm requires &#8764;47 eV (for the dissociation of N 2 into N I atoms, ionization of N I into ground state N II ions, and, finally, for the excitation of N II). Similarly, an amount of &#8764;21 eV is needed to produce (starting from N 2 ) excited N II ions emitting at 568 nm.</p><p>On the other hand, the production of neutral lines requires less energy. For instance, the production (starting from H 2 ) of excited hydrogen atoms H I emitting the H &#945; line (656 nm) requires &#8764;17 eV, and the production (starting from O 2 ) of excited neutral oxygen atoms O I emitting the triplet 777.4 nm requires &#8764;16 eV. Typical experimental values of the measured electron/gas temperatures (mean electron/gas energies) from return strokes and leaders range between about 1.5 eV and a maximum of 3.5 eV, corresponding to 17,000 K to 40,000 K (1 eV is equivalent to 11,600 K). For example, the temperature in the hot channel of a 17.4 kA triggered return stroke reached 42,000 K (3.6 eV), and their optical spectra showed that the highest temperature (42,000 K) was achieved while ions were present in the spectra, that is, at the onset of the return stroke <ref type="bibr">(Walker &amp; Christian, 2019)</ref>. Similar results (ions presence when largest temperatures are measured) were found in experiments with laboratory lightning-like discharges (N. <ref type="bibr">Kieu et al., 2021)</ref>.</p><p>Since we were not able to calibrate our slitless spectrograph (calibration means correcting the system's response to different wavelengths), we could not use the ion and/or neutral spectral lines to calculate the electron/gas temperatures associated with the spectra of the return stroke or the leader. However, the right panel of Figure <ref type="figure">3</ref> shows several singly ionized emissions in the first frame, and then these ion emissions died out while neutral emissions started to grow from the second frame and lasted up to 400 &#956;s. This behavior means that at the beginning of the return stroke, the plasma channel was in a hot and energetic period, and then it began to cool down gradually. These observations are similar to what had been reported by triggered lightning <ref type="bibr">(Walker &amp; Christian, 2019)</ref> and by laboratory lightning-like discharges (N. <ref type="bibr">Kieu et al., 2021)</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.2.">Time-Resolved Spectra of Leaders Associated With TGF Production</head><p>This section focuses on the time-resolved spectra of the cloud-to-ground leader associated with the observed TGF.</p><p>The spectra images were captured by the same slitless spectrograph, which captured the return stroke spectra but 11.7 ms earlier. The analysis process is similar to the process described in the spectra of the return stroke, except for the trimmed areas (the white rectangles) due to the difference in the altitude of the return stroke and the leader channel.</p><p>Figure <ref type="figure">4</ref> displays the high-speed camera leader images and their corresponding time-resolved spectra sequentially from top to bottom. Based on the chemical components produced during the optical emissions, these leader spectra were classified into three types: "ion emissions" spectra, "neutral emissions" spectra, and "no emissions" spectra, as described below.</p><p>&#8226; "Ion emissions", indicated by the blue triangles, are the spectra displaying optical emissions dominated by singly ionized nitrogen (463 nm, 500 nm, 568 nm), oxygen (519 nm), neutral nitrogen (744 nm), oxygen (777 nm), and hydrogen (656 nm). They are frames recorded at 182,190 &#956;s (&#8764;133 &#956;s before TGF first detection at 182,323 &#956;s), 182,290 &#956;s (&#8764; 33 &#956;s before TGF first detection at 182,323 &#956;s), and 182,424 &#956;s (&#8764; 67 &#956;s after TGF detection at 182,357 &#956;s). &#8226; "Neutral emissions", indicated by the red squares, are the spectra displaying optical emissions dominated by neutral nitrogen (744 nm), oxygen (777 nm), and hydrogen (656 nm). They are frames recorded at 182,323 &#956;s (during TGF) and 182,357 &#956;s (during TGF).</p><p>&#8226; "No emissions", indicated by the gray circles, are the spectra with no dominating optical emissions from any atoms or ions. They are frames recorded at 182,223 &#956;s (&#8764;100 &#956;s before TGF detection), 182,257 &#956;s (&#8764;66 &#956;s before TGF detection), and 182,390 &#956;s (&#8764; 33 &#956;s after TGF detection).</p><p>These "ion", "neutral", and "no" optical emissions were recorded in a period of 1.67 ms around the detection of the downward TGF, 0.27 ms before and 1.40 ms after it as shown in Figure <ref type="figure">5</ref>. Interestingly, the period around the TGF detection (&#8764;437 &#956;s, see Figure <ref type="figure">5</ref>) is dominated by ionic optical emissions, but right at the moment when the TGF was detected (at 182,323 &#956;s and 182,357 &#956;s), only neutral emissions were recorded. The presence of neutral emissions at the moment of TGF detection suggests that the optical emissions occurring before and after the TGF are more energetic (they come from the deexcitation of ionic species) than optical emissions produced right when the TGF is detected.</p><p>While the spectra of the return stroke (Figure <ref type="figure">3</ref>) look "normal", the leader spectra are not. By "normal" we mean that ions in the spectra only appear at the onset (first spectrum at 193,694 &#956;s) of the return stroke corresponding with the moment when the largest temperature is achieved (N. <ref type="bibr">Kieu et al., 2020;</ref><ref type="bibr">Walker &amp; Christian, 2019)</ref>. However, the leader spectra (Figure <ref type="figure">4</ref>) are unusual since ion lines appear and reappear. Ion emissions first appear in the leader spectrum at 182,190 &#956;s; then, no ion or neutral lines were recorded in the following two spectra. Suddenly, in the leader spectrum at 182,290 &#956;s, ion emission lines reappear just before the production of the downward TGF. The reappearance (emergence) of ion spectral lines could be explained by the presence of residual ions, which is a part of the preionization left behind by the corona streamers in the tip of the leader (L. <ref type="bibr">Babich et al., 2015;</ref><ref type="bibr">K&#246;hn, Chanrion, et al., 2020)</ref>.</p><p>The high temperature at the onset of a return stroke and/or a leader channel dissipate in about 10 &#956;s (for instance, from 40000 to 20,000 K in a 17.4 kA triggered return stroke as reported by <ref type="bibr">Walker and Christian (2019)</ref>). Usually, temperatures after about 10 &#956;s can no longer be measured using ion lines since they have almost completely</p><p>Journal of Geophysical Research: Atmospheres 10.1029/2024JD041720 disappeared from the spectra. Thus, the presence of ions in a period of &#8764;434 &#956;s is not expected and has not been observed to the best of our knowledge in a moment of the dynamics of the return stroke or the leader hot plasma channel away from their onset times or very close (&#8804;10 &#956;s) to it. Significant concentrations of ground state ions can still exist at temperatures below 15,000 K (measurable limit through optical spectra) (see supplementary material in N. <ref type="bibr">Kieu et al. (2020)</ref>) but, in the thermal environment (gas and electron temperatures are the same) of a hot leader tens of microseconds after its onset, ions are not excited by collisions with electrons or heavy species (atomic or molecular species) any longer because their mean energies are not sufficiently high (15,000 K or lower). However, if there is a certain level of preionization in the air surrounding the leader tip, it can lead to a sufficiently high production rate of runaway electrons with energies capable of exciting previously de-excited ions in the hot leader channel, leading to the initiation of the observed TGFs in this work (L. <ref type="bibr">Babich et al., 2015;</ref><ref type="bibr">K&#246;hn, Chanrion, et al., 2020)</ref>.</p><p>The observations of ionic spectral lines around the downward TGF detection during the initial breakdown pulses in this study could be explained by the preionization left behind by the corona streamers and the air perturbation in front of the leader tip, which leads to a suggestion that the production of downward TGFs is related to the streamer-leader process of cloud-to-ground lightning. Interestingly, <ref type="bibr">K&#246;hn, Heumesser et al. (2020)</ref> interpretation of ASIM observations also suggests that the production of TGFs is related to the streamer coronae activity of intracloud lightning. Journal of Geophysical Research: Atmospheres 10.1029/2024JD041720</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="5.">Summary and Conclusions</head><p>In this work, we present the first time-resolved optical spectra of lightning leader associated with a downward TGF production. The TGF was recorded by the Telescope Array Surface Detector (TASD) during the initial breakdown pulse (IBP) stage of a lightning flash. The leader spectra were captured by a slitless spectrograph with a time resolution of 33.44 &#956;s and a spectral resolution of 2.1 nm per pixel, covering the spectral range from 400 to 900 nm.</p><p>The optical emissions in the leader spectra were observed at 0.27 ms before and 1.40 ms after the downward TGF detection. Ionic optical emissions mostly dominate in the period directly around TGF detection (&#8764; 434 &#956;s), but right at the moment when the TGF was detected, neutral optical emissions dominate. This suggests that the optical emissions occurring before and after the TGF are more energetic than those produced when the TGF is detected.</p><p>Moreover, the presence of the ionic emission in a period greater than a few hundred microseconds (&#8764; 437 &#956;s) is unexpected and has not been observed to the best of our knowledge. The presence and reappearance of ions before and after TGF detection could be caused by the preionization left behind by corona streamers. As a result, the preionization and air perturbation at a certain level around streamer accelerations can lead to a high production rate of runaway electrons and ions that are spectroscopically observed around the occurrence of the downward TGF. The observations of ionic spectral lines around the TGF detection suggest that the production of downward TGF is related to the streamer-leader process of cloud-to-ground lightning.</p><p>Optical emissions from lightning leaders associated with TGF production have previously been observed from space <ref type="bibr">(Bj&#248;rge-Engeland et al., 2022;</ref><ref type="bibr">Heumesser et al., 2021;</ref><ref type="bibr">K&#246;hn et al., 2024;</ref><ref type="bibr">Neubert et al., 2020;</ref><ref type="bibr">Skeie et al., 2022;</ref><ref type="bibr">&#216;stgaard et al., 2019</ref><ref type="bibr">, 2021)</ref> and by a ground-based detector <ref type="bibr">(Abbasi et al., 2023)</ref>. Contrarily to ASIM observations of optical emissions associated to TGF only occurring at the onset of the TGF or after it <ref type="bibr">(Skeie et al., 2022)</ref>, we report here optical emissions occurring before, during and after the downward TGF occurs, with the particularity that ion spectral lines appear not only at the onset of the leader but also just before the downward TGF is detected. We are unsure whether the detected downward TGF is a single-pulse or a multi-pulse TGF, as it was detected at the edge of the surface detector. Furthermore, the peak current estimated here is -18 kA, indicating a relatively low-peak current return stroke producing a lightning flash. High-peak current return strokes may exhibit different behaviors in time scales or in optical emissions associated with different chemical components. Consequently, further observations are necessary to understand better the durations of ionic and neutral emissions associated with TGFs.</p><p>We are expanding this research to include more TGF observations, focusing on events with multiple bursts and enhancing our optical emission understanding and capabilities with additional instruments, such as a photometric array.</p></div><note xmlns="http://www.tei-c.org/ns/1.0" place="foot" xml:id="foot_0"><p>21698996, 2024, 24, Downloaded from https://agupubs.onlinelibrary.wiley.com/doi/10.1029/2024JD041720 by Readcube (Labtiva Inc.), Wiley Online Library on [06/06/2025]. See the Terms and Conditions (https://onlinelibrary.wiley.com/terms-and-conditions) on Wiley Online Library for rules of use; OA articles are governed by the applicable Creative Commons License</p></note>
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