MHD leaky waves in a layered plasma: I theory
In a three layer compressible plasma we study MHD leaky waves described by Fourier modes of complex frequency. We follow a matrix method that yields four transcendental dispersion relations. The roots (real or complex) make up a spectrum of pseudomodes, consisting of a complicate set of infinite bra...
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todo:paper_0004640X_v256_n1-2_p289_Gonzalez2023-10-03T14:02:51Z MHD leaky waves in a layered plasma: I theory González, A.G. Gratton, J. Farina, S. In a three layer compressible plasma we study MHD leaky waves described by Fourier modes of complex frequency. We follow a matrix method that yields four transcendental dispersion relations. The roots (real or complex) make up a spectrum of pseudomodes, consisting of a complicate set of infinite branches. We derive analytical properties that allow to study the topology of the spectrum, the conditions of existence of real and complex roots, the contacts and crossings of branches of different types, etc. Our results allow to analyze any particular case of interest. Fil:González, A.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Gratton, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Farina, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0004640X_v256_n1-2_p289_Gonzalez |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
description |
In a three layer compressible plasma we study MHD leaky waves described by Fourier modes of complex frequency. We follow a matrix method that yields four transcendental dispersion relations. The roots (real or complex) make up a spectrum of pseudomodes, consisting of a complicate set of infinite branches. We derive analytical properties that allow to study the topology of the spectrum, the conditions of existence of real and complex roots, the contacts and crossings of branches of different types, etc. Our results allow to analyze any particular case of interest. |
format |
JOUR |
author |
González, A.G. Gratton, J. Farina, S. |
spellingShingle |
González, A.G. Gratton, J. Farina, S. MHD leaky waves in a layered plasma: I theory |
author_facet |
González, A.G. Gratton, J. Farina, S. |
author_sort |
González, A.G. |
title |
MHD leaky waves in a layered plasma: I theory |
title_short |
MHD leaky waves in a layered plasma: I theory |
title_full |
MHD leaky waves in a layered plasma: I theory |
title_fullStr |
MHD leaky waves in a layered plasma: I theory |
title_full_unstemmed |
MHD leaky waves in a layered plasma: I theory |
title_sort |
mhd leaky waves in a layered plasma: i theory |
url |
http://hdl.handle.net/20.500.12110/paper_0004640X_v256_n1-2_p289_Gonzalez |
work_keys_str_mv |
AT gonzalezag mhdleakywavesinalayeredplasmaitheory AT grattonj mhdleakywavesinalayeredplasmaitheory AT farinas mhdleakywavesinalayeredplasmaitheory |
_version_ |
1782026877706174464 |