The limitation and applicability of Musher-Sturman equation to two dimensional lower hybrid wave collapse

Details The limitation and applicability of Musher-Sturman equation to two dimensional lower hybrid wave collapse The limitation and applicability of Musher-Sturman equation to two dimensional lower hybrid wave collapse

May 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995georl..22.1125t&link_type=abstract

Geophysical Research Letters (ISSN 0094-8276), vol. 22, no. 9, p. 1125-1128

Physics

7

Auroras, Nonlinear Equations, Two Dimensional Models, Wave Interaction, Bernstein Energy Principle, Coupling, Ion Acoustic Waves, Ionospheric Propagation, Ponderomotive Forces

Scientific paper

The existence of localized regions of intense lower hybrid waves in the auroral ionosphere recently observed by rocket and satellite experiments can be understood by the study of a non-linear two-timescale coupling process. In this Letter, we demonstrate that the leading non-linear term in the standard Musher-Sturman equation vanishes identically in strict two-dimensions (normal to the magnetic field). Instead, the new two-dimensional equation is characterized by a much weaker non-linear term which arises from the ponderomotive force perpendicular to the magnetic field, particularly that due to the ions. The old and new equations are compared by means of time-evolution calculations of wave fields. The results exhibit a remarkable difference in the evolution of the waves as governed by the two equations. Such dissimilar outcomes motivate our investigation of the limitation of Musher-Sturman equation in quasi-two-dimensions. Only within all these limits can Musher-Sturman equation adequately describe the collapse of lower hybrid waves.

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