Fishman, G. J. et al. Discovery of intense gamma-ray flashes of atmospheric origin. Science 264, 1313â1316 (1994).
Parks, G. K., Mauk, B. H., Spiger, R. & Chin, J. X-ray enhancements detected during thunderstorms and lightning activity. Geophys. Res. Lett. 8, 1176â1179 (1981).
Eack, K. B., Beasley, W. H., Rust, W. D., Marshall, T. C. & Stolzenburg, M. Initial results from simultaneous observation of X-rays and electric fields in a thunderstorm. J. Geophys. Res. Atmos. 101, 29,637â29,640 (1996).
Ãstgaard, N. et al. Gamma-ray glow observations at 20 km altitude. J. Geophys. Res. Atmos. 124, 7236â7254 (2019).
Wada, Y. et al. Catalog of gamma-ray glows during four winter seasons in Japan. Phys. Rev. Res. 3, 043117 (2021).
Smith, D. M., Lopez, L. I., Lin, R. P. & Barrington-Leigh, C. P. Terrestrial gamma-ray flashes observed up to 20âMeV. Science 307, 1085â1088 (2005).
Marisaldi, M. et al. Detection of terrestrial gamma ray flashes up to 40âMeV by the AGILE satellite. J. Geophys. Res. 107, A00E13 (2010).
Briggs, M. S. et al. First results on terrestrial gamma ray flashes from the Fermi Gamma-ray Burst Monitor. J. Geophys. Res. 115, A07323 (2010).
Ãstgaard, N. et al. First ten months of TGF observations by ASIM. J. Geophys. Res. Atmos. 124, 14,024â14,036 (2019).
Stanley, M. A. et al. A link between terrestrial gamma-ray flashes and intracloud lightning discharges. Geophys. Res. Lett. 33, L06803 (2006).
Cummer, S. A. et al. Measurements and implications of the relationship between lightning and terrestrial gamma ray flashes. Geophys. Res. Lett. 32, L08811 (2005).
Lu, G. et al. Lightning mapping observation of a terrestrial gamma-ray flash. Geophys. Res. Lett. 37, L11806 (2010).
Shao, X.-M., Jacobsen, A. R. & Fitzgerald, T. J. Radio frequency radiation beam pattern of lightning return strokes: a revisit to theoretical analysis. J. Geophys. Res. 109, D19108 (2004).
Cummer, S. A. et al. The lightningâTGF relationship on microsecond timescales. Geophys. Res. Lett. 38, L14810 (2011).
Connaughton, V. et al. Radio signals from electron beams in terrestrial gamma ray flashes. J. Geophys. Res. https://doi.org/10.1029/2012JA018288 (2013).
Cummer, S. A. et al. Lightning leader altitude progression in terrestrial gamma-ray flashes. Geophys. Res. Lett. 42, 7792â7798 (2015).
Dwyer, J. R. & Cummer, S. A. Radio emissions from terrestrial gamma-ray flashes. J. Geophys. Res. 118, 3769â3790 (2013).
Ãstgaard, N. et al. Simultaneous observations of optical lightning and terrestrial gamma ray flash from space. Geophys. Res. Lett. 40, 2423â2426 (2013).
Neubert, T. et al. A terrestrial gamma-ray flash and ionospheric ultraviolet emissions powered by lightning. Science 367, 183â186 (2020).
Ãstgaard, N. et al. Simultaneous observations of EIP, TGF, Elve and optical lightnings. J. Geophys. Res. Atmos. 126, e2020JD033921 (2021).
Skeie, C. A. et al. The temporal relationship between terrestrial gamma-ray flashes and associated optical pulses from lightning. J. Geophys. Res. Atmos. 127, e2022JD037128 (2022).
Mezentsev, A. et al. Radio emissions from double RHESSI TGFs. J. Geophys. Res. Atmos. 121, 8006â8022 (2016).
Stanbro, M. C. et al. A study of consecutive terrestrial gamma-ray flashes using the gamma-ray burst monitor. J. Geophys. Res. 123, 9634â9651 (2018).
Mailyan, B. et al. Radio frequency emissions associated with multi-pulsed terrestrial gamma-ray flashes. J. Geophys. Res. 126, e2020JA027928 (2021).
Marisaldi, M. et al. Highly dynamic gamma-ray emissions are common in tropical thunderclouds. Nature https://doi.org/10.1038/s41586-024-07936-6 (2024).
Nemiroff, R. J., Bonnell, J. T. & Norris, J. P. Temporal and spectral characteristics of terrestrial gamma flashes. J. Geophys. Res. 102, 9659â9665 (1997).
Dwyer, J. R. The relativistic feedback discharge model of terrestrial gamma ray flashes. J. Geophys. Res. 117, A02308 (2012).
Liu, N. Y. & Dwyer, J. R. Modeling terrestrial gamma ray flashes produced by relativistic feedback discharges. J. Geophys. Res. 118, 2359â2376 (2013).
Smith, D. M. et al. The rarity of terrestrial gamma-ray flashes. Geophys. Res. Lett. 38, L08807 (2011).
Ãstgaard, N., Gjesteland, T., Hansen, R. S., Collier, A. B. & Carlson, B. E. The true fluence distribution of terrestrial gamma flashes at satellite altitude. J. Geophys. Res. 117, A03327 (2012).
Belz, J. W. et al. Observations of the origin of downward terrestrial gamma-ray flashes. J. Geophys. Res. 125, e2019JD031940 (2020).
Sarria, D., Ãstgaard, N., Marisaldi, M., Lehtinen, N. G. & Mezentsev, A. Library of simulated gamma-ray glows and application to previous airborne observations. J. Geophys. Res. Atmos. 128, e2022JD037956 (2023).
Hansen, R., Ãstgaard, N., Gjesteland, T. & Carlson, B. How simulated fluence of photons from terrestrial gamma ray flashes at aircraft and balloon altitudes depends on initial parameters. J. Geophys. Res. 118, 2333â2339 (2013).
Ãstgaard, N. et al. The modular X- and gamma-ray sensor (MXGS) of the ASIM Payload on the International Space Station. Space Sci. Rev. 215, 23 (2019).
Agostinelli, S. et al. Geant4âA simulation toolkit. Nucl. Instrum. Methods Phys. Res. Sect. A 506, 250â303 (2003).
Chilingarian, A., Amilyan, B. & Vanyan, L. Recovering of the energy spectra of electrons and gamma rays coming from thunderclouds. Atmos. Res. 114â115, 1â16 (2012).
Lindanger, A. et al. Spectral analysis of individual terrestrial gamma-ray flashes detected by ASIM. J. Geophys. Res. 126, e2021JD035347 (2021).
Hauschild, T. & Jentschel, M. Comparison of maximum likelihood estimation and chi-square statistics applied to counting experiments. Nucl. Instrum. Methods Phys. Res. Sect. A 457, 384â401 (2001).
Ãstgaard, N. et al. Data and codes used in the study: âFlickering gamma-ray flashes, the missing link between gamma glows and TGFsâ. Zenodo https://doi.org/10.5281/zenodo.11930007 (2024).