On the interaction of a transient electromagnetic plane wave and a lossy half-space

Abstract

The problem of a causal transient plane wave incident at an arbitrary angle on a lossy half-space is considered. The classical frequency domain reflection coefficients are inverted to the time domain through a detailed analysis of the singularities in the complex frequency plane. Numerical results are included for a lossy earth. Some peculiarities associated with Brewster's angle are discussed.

Electromagnetic pulsed‐wave radiation in spherical models of dispersive biological substances

“…The mathematical complexity of the problem led researchers in the early study of EMP interactions to investigate mainly models of tissue structures such as the planar half-space [Lin, 1975;Lin and Lam, 1976;Dudley et al, 1974;Papazoglous, 19751. In an earlier report [Moten et al, 19891, we calculated the response of dispersive, lossy, planar models to pulse-train propagation. The results show that the pulse train decays and deforms drastically as it propagates inside the material.…”

Time domain modeling of a thin wire in a two-media configuration featuring a simplified reflection/transmission coefficient approach

“…It is worth noting that expressions (15), (41) and (47) contain two terms; the Dirac impulse term which is independent of earth conductivity, and the second term exponentially decaying in time.…”

“…Without any loss of generality, it can be assumed that the wire is not excited before t ¼ 0 [15,16].…”

“…The corresponding time domain parameters then can be obtained using the inverse Fourier transform. A problem of particular importance, within the study of transients on wire configurations in homogeneous media, is related to the assessment of the transient behaviour of plane wave reflected from an imperfectly conducting earth or transient fields penetrating into a lossy medium [6,[13][14][15]. The analysis of electromagnetic waves behaviour in the presence of lossy media can be carried out using the rigorous Sommerfeld integral approach [1,3,4] or via the approximate reflection/transmission coefficient approach, respectively, [2,16] and, in principle, can be performed in the frequency and time domain, respectively.…”

Analytic Calculation of Transmission Field in Homogeneously Layered Mediums Excited by EMP

“…Several authors obtain the time-domain transmission field by performing a numerical FFT [2,3]. Some improved time-domain methods are presented for reflected field, which do not refer to the transmission [4][5][6][7].…”