Cyclotron amplification of whistler waves

Details Cyclotron amplification of whistler waves Cyclotron amplification of whistler waves

Jan 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999adspr..24...95h&link_type=abstract

Advances in Space Research, Volume 24, Issue 1, p. 95-98.

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Cyclotron wave-particle interactions in the case of well-organized distributions of energetic electrons in an inhomogeneous magnetic field are studied. Step and δ function distributions of field-aligned velocity are considered. The one-hop amplification of whistler waves is calculated analytically and by numerical computation. In rigorous approach, taking into account the third-order term in the spatial dependence of the electron phase with respect to the wave, some new features of the one-hop amplification rate Γ as function of frequency and electron beam parameters are obtained. Γ exhibits a quasi-periodic structure as function of frequency or characteristic electron parallel velocity. For the step-like distribution it remains positive. For the δ-function it changes sign. The dependence of Γ on the total energy, characteristic parallel velocity, position of the injection point in relation to the equator, and dispersion in parallel velocity of energetic electrons such as is discussed.

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