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On the existence of purely transverse field‐line oscillations
Author(s) -
Rajaram R.,
Venkatesan D.
Publication year - 1990
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/gl017i011p01857
Subject(s) - physics , superposition principle , transverse plane , field line , toroid , dipole , azimuth , quantum electrodynamics , cyclotron , field (mathematics) , toroidal and poloidal , computational physics , ion , magnetic field , quantum mechanics , optics , plasma , mathematics , structural engineering , pure mathematics , engineering
We have shown that transverse toroidal (or poloidal) oscillations are possible in a dipole field, provided they are sufficiently localized in radial (azimuthal) direction for the Hall current‐generated electric fields to be relevant. Explicit solutions are obtained for azimuthal oscillations and it is shown that these are localized in the radial direction with an exponential decay length in the equatorial plane; where L 0 is the equatorial distance of the field line; ω and ω ci are field line resonance and ion cyclotron frequencies, and k is the zonal wave number of the mode. It is also shown that a superposition of a continuum of such structures centered over a range of L values can generate the fluctuations that are observed.