This paper aims at analyzing the broadband part of electromagnetic emission from thunderclouds in a frequency range of tens of kilohertz to hundreds of megahertz. A model of the intracloud lightning discharge formation is presented. The lightning formation is described as a stochastic growth of the branching discharge channels, which is determined by the electrostatic field. The dynamics of the electric field and of the charge distribution over the lightning structure is calculated deterministically. The effect of the initial charge density in the cloud and the parameters of the conducting channels on spatio-temporal characteristics of the currents and structure of the lightning discharge is studied. The discharge radio emission is calculated by summing up the radiation fields of each channel at the observation point. The standard model for a separate discharge current is adopted, and the electromagnetic radiation in the far zone is estimated. It is found that the obtained frequency spectra exhibit a universal power-law behavior. The results of the modeling agree with known experimental data.
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References
V. A. Rakov and M. A. Uman, Lightning, Physics, and Effects, Cambridge University Press (2003).
D. E. Proctor, J. Geophys. Res., 76, 1478 (1971).
R. J.Thomas, P.R.Krehbiel, W.Rison, et al., Geophys. Res. Lett ., 28, No. 1, 143 (2001).
D. I. Iudin and V.Yu.Trakhtengerts, Fiz. Atmos. Okeana, 36, No. 5, 597 (2000).
A.P. Nickolaenko, C.Price, and D. I. Iudin, Geophys. Res. Lett ., 27, 3185 (2000).
D. I. Iudin and V.Yu.Trakhtengerts, Radiophys. Quantum Electron., 44, Nos. 5–6, 386 (2001).
E.R.Mansell, D.R. MacGorman, C. L. Ziegler, and J.M. Straka, J. Geophys. Res. D, 107, No. 9, 4075 (2002).
D. I. Iudin, V.Yu.Trakhtengerts, and M.Hayakawa, Phys. Rev. E, 68, 016601 (2003).
P. R.Krehbiel, J.A.Riousset, V. P. Pasko, et al., Nature, 1, 233 (2008).
E.A.Mareev, D. I. Iudin, V.Yu.Trakhtengerts, et al., Proekt. Tekhnol. Élektron. Sredstv ., 4, 7 (2004).
P. Bak, C.Tang, and K. Wiesenfeld, Phys. Rev. Lett ., 59, 381 (1987).
P. Bak, C.Tang, and K. Wiesenfeld, Phys. Rev. A, 38, 364 (1988).
P. Bak, How Nature Works (The Science of Self-Organized Criticality), Oxford Univ. Press (1997).
H. J. Jensen, Self-Organized Criticality, Cambridge Univ. Press (1998).
G.Vecchi, D. Labate, and E.Canavero, Radio Sci ., 29, No. 4, 691 (1994).
D. M. Le Vine and R. Meneghini, Radio Sci ., 13, No. 5, 801 (1978).
D. M. Le Vine and R. Meneghini, J. Geophys. Res., 83, 2377 (1978).
M. Hayakawa, F.Yokose, Y. Ida, and D. I. Iudin, J. Atmos. Electricity, 26, No. 2, 51 (2006).
D. I. Iudin, V. Y.Trakhtengerts, and A.N.Grigoriev, Nuclear Instruments & Methods in Physics Research A, 502, 526 (2003).
M. Hayakawa, T.Nakamura, D. Iudin, et al., J. Geophys. Res. D, 110, No. 6, D06104 (2005).
L. Niemeyer, L. Pietronero., and H. J.Wiesmann, Phys. Rev. Lett ., 52, No. 12, 1033 (1984).
H. J. Wiesmann and H.R. Zeller, J. Appl. Phys., 60, 1770 (1986).
N. Femia, L. Niemeyer, and V.Tucci, J. Phys. D, 26, 619 (1993).
M. Hayakawa, D. I. Iudin, V. Y.Trakhtengerts, J. Atmos. Solar-Terr. Phys., 70, 1660 (2008).
X. Gou, X. M.Chen, Y.Du, and W.Dong, Geophys. Res. Lett ., 37, L11808 (2010).
V. Y.Trakhtengerts, D. I. Iudin, and A.V.Kulchitsky, Phys. Plasmas, 9, No. 6, 2762 (2002).
V. Y.Trakhtengerts, D. I. Iudin, A. V.Kulchitsky, and M. Hayakawa, Phys. Plasmas, 10, No. 8, 3290 (2003).
P. R. Krehbiel, in: R. L.Gardner, ed., The Earth’s Electrical Environment, National Academy Press, Washington (1986), p. 90.
E. R. Williams, J. Geophys. Res. D, 94, No. 11, 13151 (1989).
J. A.Riousset, V.P. Pasko, P.R.Krehbiel, et al., J. Geophys. Res., 112, D15203 (2007).
T.C. Marshall, M. P.McCarthy, and W. D. Rust, J. Geophys. Res. D, 100, No. 4, 7097 (1995).
V.P. Pasko, U. S. Inan, and T. F. Bell, Geophys. Res. Lett ., 27, No. 23, 497 (2000).
Yu.P.Raizer, Gas Discharge Physics, Springer, Berlin (2011).
I. Gallimberti, G. Bacchiega, A. Bondiou-Glergerie, and P. Lalande, Comptes Rendus-Physique, 3, No. 10, 1335 (2002).
D. I. Iudin, in: Nonlinear Waves—2012, Inst. Appl. Phys., Rus. Acad. Sci., Nizhny Novgorod (2013), p. 67.
V.Yu.Trakhtengerts, Dokl. Akad. Nauk SSSR, 308, 584 (1989).
S. Adalev, M.Hayakawa, N. V.Korovkin, et al., IEICE Electron. Express, 3, No. 10, 209 (2006).
S. Adalev, M.Hayakawa, N. V.Korovkin, et al., J. Appl. Phys., 101, 083302 (2007).
J. M. Bazelyan and Yu.P.Raizer, Spark Discharge, CRC Press, Boca Raton, New York (1998).
M.Boulch, J.Hamelin, and C. Weidman, in: R. L.Gardner, ed., Lightning Electromagnetics (1987), p. 287.
D.E. Proctor, R. Uytenbogaargt, and B. M. Meredith, J. Geophys. Res. D, 93, No. 10, 12683 (1988).
D. R. MacGorman and W. D. Rust, The Electrical Nature of Storms, Oxford Univ. Press (1998).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 58, No. 03, pp. 187–199, March 2015.
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Iudin, D.I., Iudin, F.D. & Hayakawa, M. Modeling of the Intracloud Lightning Discharge Radio Emission. Radiophys Quantum El 58, 173–184 (2015). https://doi.org/10.1007/s11141-015-9591-4
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DOI: https://doi.org/10.1007/s11141-015-9591-4