Transmission of a transient electromagnetic plane wave into a lossy half-space

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Abstract
The problem of a causal transient plane wave incident at an arbitrary angle on a lossy half-space is considered. The frequency domain solution is inverted to the time domain through a detailed analysis of its features in the complex frequency plane. Previously derived results for the interface are extended to include the interior of the dissipative medium. The effect of frequency dependence of the conductivity and permittivity of the lossy medium is considered. The Debye dispersion model is adopted and is shown to be compatible with the analytical method employed. Numerical applications are provided for each case.

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