Diffraction by a Half-Plane Perpendicular to the Distinguished Axis of a Uniaxially Anisotropic Medium
- 1 June 1966
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 37 (7) , 2768-2775
- https://doi.org/10.1063/1.1782119
Abstract
The solution to the three‐dimensional problem of diffraction of a plane electromagnetic wave by a perfectly conducting half‐plane embedded in a uniaxially anisotropic medium perpendicularly to the distinguished axis of the medium is presented. A fundamental feature of the considered problem is its essentially vectorial character, i.e., its solution cannot be reduced to solving one scalar boundary‐value problem for one function satisfying its second‐order equation. The solution has been constructed via a synthesis of the solutions to appropriate auxiliary scalar half‐plane diffraction problems for two distinct wave equations. In connection with these auxiliary problems an examination of diffraction of inhomogeneous plane waves by a half‐plane proved necessary. A general approach to analysis of electromagnetic fields in uniaxially anisotropic media by splitting them into two component fields of TE and TM type with respect to the distinguished axis of the medium has been summarized in the form of a theorem.This publication has 7 references indexed in Scilit:
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