On the group velocity of whistling atmospherics

Author:

Guglielmi Anatol1,Klain Boris2,Potapov Alexander3

Affiliation:

1. Schmidt Institute of Physics of the Earth, RAS

2. Borok Geophysical Observatory of IPE RAS

3. Institute of Solar-Terrestrial Physics SB RAS

Abstract

The dynamic spectrum of a whistling atmospheric is a signal of falling tone, and the group delay time of the signal as a function of frequency is formed as a result of propagation of a broadband pulse in a medium (magnetospheric plasma) with a quadratic dispersion law. In this paper, we show that for quadratic dispersion the group velocity is invariant under Galilean transformations. This means that, contrary to expectations, the group velocity is paradoxically independent of the velocity of the medium relative to the observer. A general invariance condition is found in the form of a differential equation. To explain the paradox, we introduce the concept of the dynamic spectrum of Green’s function of the path of propagation of electromagnetic waves from a pulse source (lightning discharge in the case of a whistling atmospheric) in a dispersive medium. We emphasize the importance of taking into account the motion of plasma in the experimental and theoretical study of electromagnetic wave phenomena in near-Earth space.

Publisher

Infra-M Academic Publishing House

Subject

Space and Planetary Science,Atmospheric Science,Geophysics

Reference13 articles.

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2. Gershman B.N., Ugarov V.A. Propagation and generation of low-frequency electromagnetic waves in the upper atmosphere. Soviet Physics Uspekhi. 1961, vol. 3, pp. 743–764. DOI: 10.1070/PU1961v003n05ABEH005809., Gershman B.N., Ugarov V.A. Propagation and generation of low-frequency electromagnetic waves in the upper atmosphere. Soviet Physics Uspekhi. 1961, vol. 3, pp. 743–764. DOI: 10.1070/PU1961v003n05ABEH005809.

3. Ginzburg V.L. Rasprostranenie elektromagnitnykh voln v plazme [The Propagation of Electromagnetic Waves in Plasmas]. Moscow, Fizmatgiz Publ., 1960, 552 p. (In Russian). (English edition: Ginzburg V.L. The Propagation of Electromagnetic Waves in Plasmas. Translated from the Russian edition (Moscow, 1960) by J.B. Sykes and R.J. Tayler. Pergamon Press, 1964, 535 p.), Ginzburg V.L. Rasprostranenie elektromagnitnykh voln v plazme [The Propagation of Electromagnetic Waves in Plasmas]. Moscow, Fizmatgiz Publ., 1960, 552 p. (In Russian). (English edition: Ginzburg V.L. The Propagation of Electromagnetic Waves in Plasmas. Translated from the Russian edition (Moscow, 1960) by J.B. Sykes and R.J. Tayler. Pergamon Press, 1964, 535 p.)

4. Guglielmi A.V. On the group velocity of slow waves in a drifting magnetoactive plasma. Geomagnetism and Aeronomy. 1963, vol. 3, no. 4, pp. 754–757. (In Russian)., Guglielmi A.V. On the group velocity of slow waves in a drifting magnetoactive plasma. Geomagnetism and Aeronomy. 1963, vol. 3, no. 4, pp. 754–757. (In Russian).

5. Guglielmi A.V. The propagation of slow waves in a moving plasma. Ann. Geophys. 1968, vol. 24, no. 3, pp. 761–763., Guglielmi A.V. The propagation of slow waves in a moving plasma. Ann. Geophys. 1968, vol. 24, no. 3, pp. 761–763.

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