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Transverse Propagation of Transient Electromagnetic Waves in a Non-homogeneous Half-space

✍ Scribed by Paul F. Gordon; William Scott

Publisher: Elsevier Science
Year: 1977
Tongue: English
Weight: 968 KB
Volume: 303
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(77)90027-8

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✦ Synopsis

The problem of a transient, transverse electromagnetic wave incident on a non-homogeneous half space is considered. Solutions are obtained by both the Laplace transform technique (LT) and the method of characteristics (MOC). The former method yields an infinite number of exact solutions in closed-form provided that the dielectric and permeability parameters are distributed as power laws in the spatial coordinate. A method for systematically generating these solutions is given. The method of characteristics, in numerical form, provides approximate solutions along the curved characteristics. Agreement between the two methods is excellent, except for a certain anomalous class of inhomogeneities. Finally, certain quasi-static solutions, involving a variety of in-

homogeneities, are demonstrated.

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