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| Titel |
Klein-Gordon equations for toroidal hydromagnetic waves in an axi-symmetric field |
| VerfasserIn |
J. F. McKenzie, Q. Hu |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
0992-7689
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| Digitales Dokument |
URL |
| Erschienen |
In: Annales Geophysicae ; 28, no. 3 ; Nr. 28, no. 3 (2010-03-11), S.737-742 |
| Datensatznummer |
250016799
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| Publikation (Nr.) |
 copernicus.org/angeo-28-737-2010.pdf |
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| Zusammenfassung |
| In this paper we develop the hydromagnetic wave equations for
toroidal Alfvén waves in a background axi-symmetric magnetic
field. In the case where spatial variations are directed along
the ambient magnetic field direction, the equations can be cast
in a Klein-Gordon form in which the adiabatic-geometric amplitude
factor of the perturbations varies as √ρL5sin5θ along a magnetic field line (where θ is
colatitude and L the L-shell number) and the cut-off
frequency, associated with the Klein-Gordon form, displays an
astonishing variation with distance along a field line (see
Eqs. 35 and 37 of the text), in
the case of a dipole magnetic field. We compute the eigenvalues
and eigenfunctions for the Earth's dipole field which are relevant
to geomagnetic pulsations. |
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