ON ONE FEATURE OF THE PONDEROMOTIVE FORCE OF THE ION-CYCLOTRON WAVE IN THE NEAR-EARTH PLASMA

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Abstract

The theory of ponderomotive forces in space plasma is an important component of solar- terrestrial physics. The problem that arises when using the classical formula of the ponderomotive force to analyze the acceleration of ions in the Earth’s magnetosphere under the influence of an ion-cyclotron wave is described. It consists in the fact that the force tends to infinity as thewave frequency approaches the local gyrofrequency of the ions. It is shown that the singularity arises as a result of idealizations inevitably adopted in constructing the standard theory of ponderomotive forces. Two limiting cases are considered: the case of a wide opacity band for ion-cyclotron waves, and the case of a narrow opacity band. Two methods for regularizing the ponderomotive force in the vicinity of the refractive index pole of the ion- cyclotron wave are proposed. One of them eliminates the singularity at the pole at the boundary of a wide opacity band, and the other at the boundary of a narrow opacity band. Examples of wave phenomena in near-Earth plasma are given, in the study of which it is necessary to take into account the singularity of the ponderomotive force calculated within the framework of the standard theory.

About the authors

A. V. Guglielmi

Schmidt Institute of Physics of the Earth RAS

Email: guglielmi@mail.ru
Moscow, Russia

A. S. Potapov

Institute of Solar-Terrestrial Physics, SB RAS

Email: potapov@iszf.irk.ru
Irkutsk, Russia

F. Z. Feygin

Schmidt Institute of Physics of the Earth RAS

Email: feygin@ifz.ru
Moscow, Russia

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