ON THE GROUP VELOCITY OF WHISTLING ATMOSPHERICS
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 fo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
INFRA-M
2021-12-01
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| Series: | Solar-Terrestrial Physics |
| Subjects: | |
| Online Access: | https://naukaru.ru/en/nauka/article/42233/view |
| _version_ | 1818980615790264320 |
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| author | A.V. Guglielmi B.I. Klain A.S. Potapov |
| author_facet | A.V. Guglielmi B.I. Klain A.S. Potapov |
| author_sort | A.V. Guglielmi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-20T17:18:15Z |
| format | Article |
| id | doaj.art-4d3364f44f6745f187750bc43224da61 |
| institution | Directory Open Access Journal |
| issn | 2500-0535 |
| language | English |
| last_indexed | 2024-12-20T17:18:15Z |
| publishDate | 2021-12-01 |
| publisher | INFRA-M |
| record_format | Article |
| series | Solar-Terrestrial Physics |
| spelling | doaj.art-4d3364f44f6745f187750bc43224da612022-12-21T19:31:56ZengINFRA-MSolar-Terrestrial Physics2500-05352021-12-0174677010.12737/stp-74202106ON THE GROUP VELOCITY OF WHISTLING ATMOSPHERICSA.V. Guglielmi0B.I. Klain1A.S. Potapov2Schmidt Institute of Physics of the Earth RAS, Moscow, RussiaBorok Geophysical Observatory the Branch of Schmidt Institute of Physics of the Earth RAS, Borok, RussiaInstitute of Solar-Terrestrial Physics SB RAS, Irkutsk, RussiaThe 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.https://naukaru.ru/en/nauka/article/42233/viewelectromagnetic wavesmoving plasmaearth’s magnetospheredispersionpropagation pathgreen’s functiondynamic spectrum |
| spellingShingle | A.V. Guglielmi B.I. Klain A.S. Potapov ON THE GROUP VELOCITY OF WHISTLING ATMOSPHERICS Solar-Terrestrial Physics electromagnetic waves moving plasma earth’s magnetosphere dispersion propagation path green’s function dynamic spectrum |
| title | ON THE GROUP VELOCITY OF WHISTLING ATMOSPHERICS |
| title_full | ON THE GROUP VELOCITY OF WHISTLING ATMOSPHERICS |
| title_fullStr | ON THE GROUP VELOCITY OF WHISTLING ATMOSPHERICS |
| title_full_unstemmed | ON THE GROUP VELOCITY OF WHISTLING ATMOSPHERICS |
| title_short | ON THE GROUP VELOCITY OF WHISTLING ATMOSPHERICS |
| title_sort | on the group velocity of whistling atmospherics |
| topic | electromagnetic waves moving plasma earth’s magnetosphere dispersion propagation path green’s function dynamic spectrum |
| url | https://naukaru.ru/en/nauka/article/42233/view |
| work_keys_str_mv | AT avguglielmi onthegroupvelocityofwhistlingatmospherics AT biklain onthegroupvelocityofwhistlingatmospherics AT aspotapov onthegroupvelocityofwhistlingatmospherics |