Transient radiation in a plane stratified dispersive medium. I. Half-space configuration

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Abstract
In this paper a similarity principle will be derived for a class of transient diffraction problems in cold, lossless, isotropic plane stratified plasmas. The similarity principle will be utilized to obtain an exact closed-form solution to the problem of a magnetic current source whose density is a delta function (in space and time) situated either in or above a homogeneous plasma half-space. This solution will be interpreted in terms of rays and group velocity. An independent solution to the half-space problem will also be obtained using asymptotic techniques. Exact and asymptotic solutions will be compared and discussed.
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