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Detailed Reference Information |
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. |
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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 |
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Abstract |
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Keywords
Electromagnetics, Scattering and diffraction, Electromagnetics, Wave propagation, Exploration Geophysics, Magnetic and electrical methods, Radio Science, Radio wave propagation |
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Publisher
American Geophysical Union 2000 Florida Avenue N.W. Washington, D.C. 20009-1277 USA 1-202-462-6900 1-202-328-0566 service@agu.org |
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