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Sampaio & Popov 1997
Sampaio, E.E.S. and Popov, M.M. (1997). Zero-order time domain scattering of electromagnetic plane waves by two quarter spaces. Radio Science 32: doi: 10.1029/96RS03201. issn: 0048-6604.

The zero-order term of the time domain scattered electric field of an electromagnetic plane wave normally incident upon the surface of two quarter spaces is determined. The general solution is a development from a previous exact and complete solution in the frequency domain. The zero-order term of the scattered electric field has been computed in the upper medium (z<0). The incident wave in the frequency domain assumes the same function for three cases: (1) The conductivity vanishes everywhere; (2) only the conductivity of the upper medium is zero; and (3) the three media are conductors. Case 1 helps to understand cases 2 and 3. Case 2 is applicable to geophysical exploration. For cases 1 and 2 a casual time function decaying exponentially with time at every point above the fault (z<0) describes the waveform of the incident plane wave. The zero-order term of the scattered field has been computed above the fault. At x=0 it reduces to a closed expression for case 1 and to a single integral for the other two cases. In the three cases it contains an integral of a Hankel function for x≠0. The computation of the high-frequency part of the inverse Fourier transform for x≠0 employs asymptotic expressions for the Hankel function using analytical techniques of the geometrical theory of diffraction for cases 1 and 2. For case 3 the inverse Fourier transform may have two possible contributions: either from the residue at a single pole or from the integral along a branch cut in the &ohgr; plane. The wave front of the scattered field is well defined in shape, phase, and amplitude. Its amplitude is discontinuous at x=0, and varies smoothly but presents a sharp jump for |x|≪|z|. For |x|=O(z), there is a numerical noise that oscillates at 100 MHz.¿ 1997 American Geophysical Union

BACKGROUND DATA FILES

Abstract

Keywords
Electromagnetics, Scattering and diffraction, Electromagnetics, Wave propagation, Exploration Geophysics, Magnetic and electrical methods, Radio Science, Radio wave propagation
Journal
Radio Science
Publisher
American Geophysical Union
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