THE NONLINEAR INTERACTION OF AN ELECTROMAGNETIC WAVE WITH A TIME-DEPENDENT PLASMA MEDIUM.
AIR FORCE CAMBRIDGE RESEARCH LABS L G HANSCOM FIELD MASS
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A one-dimensional, inhomogeneous model is used to describe the nonlinear interaction of a radiofrequency plane wave with a time-varying plasma medium. A nonlinear constitutive relationship is derived relating the macroscopic-current density to the impressed electric vector, assuming that the wave field is almost monochromatic in the medium. The time-dependent response of the plasma medium may be found by numerically solving the energy-balance equations and the continuity equation for the electron gas. The electron temperature is expressed in the form of a difference equation where the effects of the thermal conductivity of the electron gas may be included. The spread in frequency of the electromagnetic wave field due to the time-varying electrical conductivity may be computed by employing the WKB approximation as a solution to the wave equation for a time-varying medium. Author