Relativistic broadening near cyclotron resonance

Technical Report · Sat Oct 01 04:00:00 EDT 1983

OSTI ID:5300788

Imre, K; Weitzner, H

Relativistic broadening of absorption (or emission) lines near cyclotron resonance in a warm plasma is investigated using the linearized relativistic Vlasov-Maxwell system. The unperturbed state is assumed to be isotropic, but not necessarily Maxwellian. The expansion parameter is eta = v/sub e//c, v/sub e/ being the electron thermal speed. It is assumed that the wave frequency, plasma frequency, and cyclotron frequency are all comparable in magnitude, and the refractive index n = 0(1). The parameter ..cap alpha.. = eta/n is of arbitrary order, thus the results are uniformly valid for all values of oblique propagation angles, although the relativistic effects are negligible for ..cap alpha..<<1. The dielectric tensor is reordered, and the dispersion relation appropriate for this problem is derived to the lowest significant order in eta. The results are expressed in terms of the readily calculable (generalized) plasma dispersion function Z. In the Maxwellian case the results are algebraic in Z, and unlike the previously published results, they do not involve infinite integrals or series imposed on Z, thus leading to simple and efficient evaluations. The case of perpendicular propagation is obtained by taking the large ..cap alpha.. limit. Some inconsistencies in the literature dealing with the extraordinary mode are resolved.

• Research Organization: New York Univ., NY (USA). Courant Inst. of Mathematical Sciences
• DOE Contract Number: AC02-76ER03077
• OSTI ID: 5300788
• Report Number(s): DOE/ER/03077-198; MF-101; ON: DE84006046
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700108* -- Fusion Energy-- Plasma Research-- Wave Phenomena
BOLTZMANN-VLASOV EQUATION
CYCLOTRON RESONANCE
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
ELECTROMAGNETIC RADIATION
EQUATIONS
LINE BROADENING
MAXWELL EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
RADIATIONS
RESONANCE