Transient analysis of a step wave propagating in a lossy dielectric

Abstract
A transverse electromagnetic wave propagating through a lossy dielectric is studied. We propose rational functions to describe the general behavior of the permittivity as a function of frequency. The impulse response of the system is found in closed form. The step response is found in terms of a small argument series and an asymptotic expansion. Rise times may be calculated with a nominal number of terms. Pulses may be formed as the superposition of this solution.

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