Electromagnetic scattering from a half-space vertical discontinuity: operator decomposition approach

Donnelly, Roderick Kerry (1983) Electromagnetic scattering from a half-space vertical discontinuity: operator decomposition approach. Masters thesis, Memorial University of Newfoundland.

[English] PDF (Migrated (PDF/A Conversion) from original format: (application/pdf)) - Accepted Version Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. Download (27MB) [English] PDF - Accepted Version Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. (Original Version)

Abstract

In this thesis the so-called “mixed-path’ propagation problem is tackled by modelling the physical geometry and the various electromagnetic field quantities with the aid of Heaviside step functions in the manner of Walsh (29). Operating on the regional field quantities with the usual vector differential operators produces the classical boundary conditions of electromagnetism that are normally supplied in the classical analyses. The Helmholtz-type equations obtained for the regional field quantities are convolved with the proper Green functions and then Fourier transformed. An algebraic equation in the transform domain for the surface field to the right of the media interface is thus obtained. In order that this equation may be solved, various approximations are made in order that Wiener-Hopf method may be successfully applied. The final answer, which is in the form of an asymptotic expansion of a Fourier inversion integral, is of the wrong order in field strength fall-off when compared with other authors’ results and empirical evidence. Discussion is given as to the suitability and limitations of the Wiener-Hopf method for application to the problem.

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