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ON THE SPECTRUM OF ULTRA-LOW-FREQUENCY OSCILLATIONS OF THE IONOSPHERE IN THE Pc1 RANGE
1 Schmidt Institute of Physics of the Earth, Russian Academy of Sciences
2 Borok Geophysical Observatory, the Branch of Schmidt Institute of Physics of the Earth RAS
3 Institute of Solar-Terrestrial Physics SB RAS
Journal: Geophysical research
Tome: 24
Number: 1
Year: 2023
Pages: 74-84
UDK: 550.386
DOI: 10.21455/gr2023.1-5
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Guglielmi
B.I A.V. ON THE SPECTRUM OF ULTRA-LOW-FREQUENCY OSCILLATIONS OF THE IONOSPHERE IN THE Pc1 RANGE // . 2023. Т. 24. № 1. С. 74-84. DOI: 10.21455/gr2023.1-5
@article{Guglielmi
B.ION2023,
author = "Guglielmi
B.I, A. V.",
title = "ON THE SPECTRUM OF ULTRA-LOW-FREQUENCY OSCILLATIONS OF THE IONOSPHERE IN THE Pc1 RANGE",
journal = "Geophysical research",
year = 2023,
volume = "24",
number = "1",
pages = "74-84",
doi = "10.21455/gr2023.1-5",
language = "English"
}
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Keywords: geoelectromagnetism, magnetohydrodynamics, magnetosphere, Alfvén wave, resonator, Sturm–Liouville prob-lem, Wentzel–Kramers–Brillouin (WKB) method.
Аnnotation: The idea of Alfvén waves plays a key role in the theory of ultra-low-frequency (ULF) electromagnetic oscilla-tions of cosmic origin. The article is dedicated to the 80th anniversary of the discovery of Alfvén waves. It focuses on the Ionospheric Alfvén Resonator, or IAR for short. ULF oscillations are excited in the IAR in the Pc1 range (0.2–5 Hz). When calculating the oscillation spectrum within the framework of the standard model, it is assumed that the IAR is an autonomous dynamic system. In contrast, in the presented article, the IAR is considered as a specific subsystem of the general system of Alfvén oscillations of geomagnetic field lines. In other words, authors proceed from the idea that the IAR, generally speaking, is not an autonomous oscillatory system. The problem of the IAR spectrum is discussed in this article within the framework of the general problem of the spectrum of MHD oscillations of the Earth's magnetosphere. The corresponding Sturm–Liouville problem is formulated. Analytical solutions of the problem are considered in the Wentzel–Kramers–Brillouin ap-proximation. The need for a numerical solution of the problem of the IAR spectrum is indicated in view of the rather complex distribution of the Alfvén velocity along geomagnetic field lines.
Bibliography: Alfvén H., Existence of electromagnetic-hydrodynamic waves, Nature, 1942, vol. 150, pp. 405-406.
Alfvén H., Cosmical Electrodynamics, Oxford, Clarendon Press, 1950, 237 p.
Belyaev P.P., Polyakov S.V., Boundary conditions for MHD waves on the ionosphere, Geomagnetizm i aero-nomiya (Geomagnetism and Aeronomy), 1980, vol. 20, pp. 637-643. [In Russian].
Belyaev P.P., Polyakov S.V., Rapoport V.O., Trakhtengerts V.Yu., Discovery of the resonant structure of the spectrum of atmospheric electromagnetic noise background in the range of short period geomagnetic pul-sation, Doklady AN SSSR (Reports of AS USSR), 1987, vol. 297, no. 3, pp. 840-843. [In Russian].
Belyaev P.P., Polyakov S.V., Rapoport V.O., Trakhtengerts V.Yu., Theory for the formation of resonance struc-ture in the spectrum of atmospheric electromagnetic background noise in the range of short-period geo-magnetic pulsations, Radiophys. Quantum Electron, 1989, vol. 32, no. 7, pp. 594-601.
Berkovich L.M., On the transformation of differential equations of the Sturm–Liouville type, Funktsional'nyi analiz i ego prilozheniya (Functional analysis and its applications), 1982, vol. 16, no. 3, pp. 42-44. [In
Russian].
Bösinger T., Demekhov A.G., Trakhtengerts V.Y., Fine structure in ionospheric Alfvén resonator spectra ob-served at low latitude (L=1.3), Geophys. Res. Lett., 2004, vol. 31, L18802, 5 p.
Davydov V.M., Teoriya nizkochastotnykh elektromagnitnykh polei v sredakh s tonkimi anizotropnymi sloyami i ee geofizicheskie prilozheniya (Theory of low-frequency electromagnetic fields in media with thin aniso-tropic layers and its geophysical applications), Novosibirsk, Nedra, 1971, 330 p. [In Russian].
Dovbnya B.V., Guglielmi A.V., Potapov A.S., Klain B.I., On existence of an over-ionospheric Alfven resonator, Solnechno-Zemnaya Fizika (Solar-Terrestrial Physics), 2013а, iss. 22, pp. 12-15. [In Russian].
Dovbnya B.V., Guglielmi A.V., Potapov A.S., Rakhmatulin R.A., An additional resonator for ultralow frequen-cy waves, Geofizicheskie Issledovaniya (Geophysical Research), 2013b, vol. 14, no. 2, pp. 49-58. [In
Russian].
Dungey J.W., Cosmic Electrodynamics, Cambridge, Cambridge University Press, 1958, 183 p.
Fermi E., Notes on Quantum Mechanics: A Course Given at the University of Chicago, Chicago, University of Chicago Press, 1962, 171 p.
Ginzburg V.L., The Propagation of Electromagnetic Waves in Plasmas, Oxford and New York, Pergamon Press, 1964, 535 p.
Guglielmi A.V., MGD volny v okolozemnoi plazme (MHD Waves in Near-Terrestrial Plasma), Moscow, Nauka, 1979, 139 p. [In Russian].
Guglielmi A.V., Pokhotelov O.A., Geoelectromagnetic waves, Bristol and Philadelphia, Institute of Physics Publishing, 1996, 382 p.
Guglielmi A.V., Potapov A.S., Frequency-modulated ULF waves in near-Earth space, Physics-Uspekhi, 2021, vol. 64, no. 5, pp. 452-467. DOI: 10.3367/UFNe.2020.06.038777
Guglielmi A.V., Troitskaya V.A., Geomagnitnye pul'satsii i diagnostika magnitosfery (Geomagnetic Pulsations and Diagnostics of the Magnetosphere), Moscow, Nauka, 1973, 208 p. [In Russian].
Hasegawa A., Chen L., Theory of magnetic pulsations, Space Sci. Rev., 1974, vol. 16, pp. 347-359.
Lysak R.L., Magnetosphere–ionosphere coupling by Alfvén waves at midlatitudes, J. Geophys. Res.: Space Physics, 2004, vol. 109, A07201, 14 p.
Lysak R.L., Yoshikawa A., Resonant cavities and waveguides in the ionosphere and atmosphere, Magneto-spheric ULF Waves. Geophys. Monograph Ser. V, Washington DC USA, American Geophysical Union, 2006, pp. 289-306.
Nishida A., Geomagnetic Diagnosis of the Magnetosphere, New York, Springer, 1978, 256 p.
Ovchinnikov A.O., An ionospheric Alfvén resonator for the spherical model of the Earth's surface, Geomag-netism and Aeronomy, 1999, vol. 39, no. 1, pp. 64-68.
Polyakov S.V., Rapoport V.O., Parametric excitation of ionospheric Alfven resonator, Geomagnetizm i aero-nomiya (Geomagnetism and Aeronomy), 1980, vol. 20, pp. 1114-1118. [In Russian].
Polyakov S.V., Rapoport V.O., TrakhtengertsV.Yu., Alfven sweep-maser, Sov. J. Plasma Phys., 1983, vol. 9, pp. 371-375.
Potapov A.S., Guglielmi A.V., Klain B.I., Discrete spectrum of ULF oscillations of the ionosphere, IEEE Transactions on Geoscience and Remote Sensing, 2022, vol. 60, 4600505. https://ieeexplore.ieee.org/docu¬ment/9477570
Potapov A.S., Polyushkina T.N., Dovbnya B.V., Tsegmed B., Rakhmatulin R.A., Emissions of ionospheric Alf-vén resonator and ionospheric conditions, J. Atmosph. Solar Terr. Phys., 2014, vol. 119, pp. 91-101. DOI: 10.1016/j.jastp.2014.07.001
Potapov A.S., Polyushkina T.N., Tsegmed B., Morphology and diagnostic potential of the ionospheric Alfvén resonator, Solar-Terrestrial Physics, 2021, vol. 7, no. 3, pp. 36-52. DOI: 10.12737/stp-73202104
Southwood D.J., Some features of field line resonances in the magnetosphere, Planet. Space Sci., 1974, vol. 22, pp. 483-491.
Troitskaya V.A., Guglielmi A.V., Geomagnetic micropulsations and diagnostics of the magnetosphere, Space Sci. Rev., 1967, vol. 7, pp. 689-769.
Alfvén H., Cosmical Electrodynamics, Oxford, Clarendon Press, 1950, 237 p.
Belyaev P.P., Polyakov S.V., Boundary conditions for MHD waves on the ionosphere, Geomagnetizm i aero-nomiya (Geomagnetism and Aeronomy), 1980, vol. 20, pp. 637-643. [In Russian].
Belyaev P.P., Polyakov S.V., Rapoport V.O., Trakhtengerts V.Yu., Discovery of the resonant structure of the spectrum of atmospheric electromagnetic noise background in the range of short period geomagnetic pul-sation, Doklady AN SSSR (Reports of AS USSR), 1987, vol. 297, no. 3, pp. 840-843. [In Russian].
Belyaev P.P., Polyakov S.V., Rapoport V.O., Trakhtengerts V.Yu., Theory for the formation of resonance struc-ture in the spectrum of atmospheric electromagnetic background noise in the range of short-period geo-magnetic pulsations, Radiophys. Quantum Electron, 1989, vol. 32, no. 7, pp. 594-601.
Berkovich L.M., On the transformation of differential equations of the Sturm–Liouville type, Funktsional'nyi analiz i ego prilozheniya (Functional analysis and its applications), 1982, vol. 16, no. 3, pp. 42-44. [In
Russian].
Bösinger T., Demekhov A.G., Trakhtengerts V.Y., Fine structure in ionospheric Alfvén resonator spectra ob-served at low latitude (L=1.3), Geophys. Res. Lett., 2004, vol. 31, L18802, 5 p.
Davydov V.M., Teoriya nizkochastotnykh elektromagnitnykh polei v sredakh s tonkimi anizotropnymi sloyami i ee geofizicheskie prilozheniya (Theory of low-frequency electromagnetic fields in media with thin aniso-tropic layers and its geophysical applications), Novosibirsk, Nedra, 1971, 330 p. [In Russian].
Dovbnya B.V., Guglielmi A.V., Potapov A.S., Klain B.I., On existence of an over-ionospheric Alfven resonator, Solnechno-Zemnaya Fizika (Solar-Terrestrial Physics), 2013а, iss. 22, pp. 12-15. [In Russian].
Dovbnya B.V., Guglielmi A.V., Potapov A.S., Rakhmatulin R.A., An additional resonator for ultralow frequen-cy waves, Geofizicheskie Issledovaniya (Geophysical Research), 2013b, vol. 14, no. 2, pp. 49-58. [In
Russian].
Dungey J.W., Cosmic Electrodynamics, Cambridge, Cambridge University Press, 1958, 183 p.
Fermi E., Notes on Quantum Mechanics: A Course Given at the University of Chicago, Chicago, University of Chicago Press, 1962, 171 p.
Ginzburg V.L., The Propagation of Electromagnetic Waves in Plasmas, Oxford and New York, Pergamon Press, 1964, 535 p.
Guglielmi A.V., MGD volny v okolozemnoi plazme (MHD Waves in Near-Terrestrial Plasma), Moscow, Nauka, 1979, 139 p. [In Russian].
Guglielmi A.V., Pokhotelov O.A., Geoelectromagnetic waves, Bristol and Philadelphia, Institute of Physics Publishing, 1996, 382 p.
Guglielmi A.V., Potapov A.S., Frequency-modulated ULF waves in near-Earth space, Physics-Uspekhi, 2021, vol. 64, no. 5, pp. 452-467. DOI: 10.3367/UFNe.2020.06.038777
Guglielmi A.V., Troitskaya V.A., Geomagnitnye pul'satsii i diagnostika magnitosfery (Geomagnetic Pulsations and Diagnostics of the Magnetosphere), Moscow, Nauka, 1973, 208 p. [In Russian].
Hasegawa A., Chen L., Theory of magnetic pulsations, Space Sci. Rev., 1974, vol. 16, pp. 347-359.
Lysak R.L., Magnetosphere–ionosphere coupling by Alfvén waves at midlatitudes, J. Geophys. Res.: Space Physics, 2004, vol. 109, A07201, 14 p.
Lysak R.L., Yoshikawa A., Resonant cavities and waveguides in the ionosphere and atmosphere, Magneto-spheric ULF Waves. Geophys. Monograph Ser. V, Washington DC USA, American Geophysical Union, 2006, pp. 289-306.
Nishida A., Geomagnetic Diagnosis of the Magnetosphere, New York, Springer, 1978, 256 p.
Ovchinnikov A.O., An ionospheric Alfvén resonator for the spherical model of the Earth's surface, Geomag-netism and Aeronomy, 1999, vol. 39, no. 1, pp. 64-68.
Polyakov S.V., Rapoport V.O., Parametric excitation of ionospheric Alfven resonator, Geomagnetizm i aero-nomiya (Geomagnetism and Aeronomy), 1980, vol. 20, pp. 1114-1118. [In Russian].
Polyakov S.V., Rapoport V.O., TrakhtengertsV.Yu., Alfven sweep-maser, Sov. J. Plasma Phys., 1983, vol. 9, pp. 371-375.
Potapov A.S., Guglielmi A.V., Klain B.I., Discrete spectrum of ULF oscillations of the ionosphere, IEEE Transactions on Geoscience and Remote Sensing, 2022, vol. 60, 4600505. https://ieeexplore.ieee.org/docu¬ment/9477570
Potapov A.S., Polyushkina T.N., Dovbnya B.V., Tsegmed B., Rakhmatulin R.A., Emissions of ionospheric Alf-vén resonator and ionospheric conditions, J. Atmosph. Solar Terr. Phys., 2014, vol. 119, pp. 91-101. DOI: 10.1016/j.jastp.2014.07.001
Potapov A.S., Polyushkina T.N., Tsegmed B., Morphology and diagnostic potential of the ionospheric Alfvén resonator, Solar-Terrestrial Physics, 2021, vol. 7, no. 3, pp. 36-52. DOI: 10.12737/stp-73202104
Southwood D.J., Some features of field line resonances in the magnetosphere, Planet. Space Sci., 1974, vol. 22, pp. 483-491.
Troitskaya V.A., Guglielmi A.V., Geomagnetic micropulsations and diagnostics of the magnetosphere, Space Sci. Rev., 1967, vol. 7, pp. 689-769.
