PLANE WAVE PROPAGATION THROUGH A COMPRESSIBLE INHOMOGENEOUS PLASMA
ARIZONA UNIV TUCSON ENGINEERING EXPERIMENT STATION
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The set of hydrodynamic equations together with Maxwells equations which describe a nonuniform plasma as formulated by Cohen was applied to a two dimensional problem where the magnetic field has only one component which is transverse to the direction of propagation and the profile is of the form e exp. -Bx. These assumptions lead to a set of second order coupled electromagnetic and hydrodynamic differential equations which describe the region under consideration. Solutions to this coupled set were obtained by the application of the method of Frobenius. Considerable simplification resulted in the solutions when the assumption that the rms velocity of the electrons is much smaller than the speed of light was made. The resulting set of approximate solutions was applied to the problem of obtaining reflection and transmission coefficients for the case of a plane wave incident from free space upon a layer of compressible inhomogeneous plasma.
- Plasma Physics and Magnetohydrodynamics