Analytic expressions for mode conversion in a plasma at the peak of a parabolic density profile
- 1 July 1992
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids B: Plasma Physics
- Vol. 4 (7), 1772-1787
- https://doi.org/10.1063/1.860033
Abstract
For mode conversion in an unmagnetized plasma with a parabolic density profile of scale length L, analytic expressions, in terms of parabolic cylinder functions, for the energy flux coefficients (reflection, transmission, and mode conversion) and the fields for both the ‘‘direct’’ problem (incident electromagnetic wave converting to a Langmuir wave) and the ‘‘inverse’’ problem (incident Langmuir wave converting to an electromagnetic wave) are derived for the case where the incident wave frequency ω matches the electron plasma frequency ωp at the peak of the density profile. The mode conversion coefficient for the direct problem is equal in magnitude to that of the inverse problem, and the corresponding reflection and transmission coefficients satisfy energy conservation. In contrast to the linear profile problem, the conversion efficiency depends explicitly on the value of the collision frequency (in the cold, collisional limit) or electron temperature (in the warm, collisionless limit), but a transformation of parameters relates the results for these two limits.Keywords
This publication has 14 references indexed in Scilit:
- Efficiency of caviton formation as a function of plasma density gradientPhysics of Fluids B: Plasma Physics, 1990
- Large-scale resonant modification of the polar ionosphere by electromagnetic wavesPhysical Review Letters, 1989
- Analytic expression for mode conversion of Langmuir and electromagnetic wavesPhysical Review Letters, 1989
- Propagation of electromagnetic waves in a planarly stratified, isotropic, warm plasma with a resonance layerPhysica B+C, 1983
- Electromagnetic radiation from an inhomogeneous plasma: Theory and experimentPhysics of Fluids, 1981
- The analytic theory of linear resonant absorptionPlasma Physics, 1978
- Linear wave conversion in an unmagnetized, collisionless plasmaPhysics of Fluids, 1977
- Theory and simulation of resonant absorption in a hot plasmaPhysical Review A, 1975
- Resonant Absorption of Laser Light by Plasma TargetsPhysical Review Letters, 1972
- Propagation of Oblique E Waves in a Warm Plane Stratified PlasmaRadio Science, 1970