Date of Award

Summer 2014

Document Type

Thesis

Degree Name

Master of Science in Electrical Engineering - (M.S.)

Department

Electrical and Computer Engineering

First Advisor

Gerald Martin Whitman

Second Advisor

Marek Sosnowski

Third Advisor

Haim Grebel

Abstract

A full-wave theory of plane wave scattering from rough surfaces called the Correction Current (CC) method was recently developed for the two-dimensional scatter problem that have a one-dimensional roughness profile. The method involves a primary field and radiation modes that are plane-wave-type fields that satisfy the boundary conditions at the rough surface. These fields do not satisfy Maxwell's source free equations, but they are forced to satisfy Maxwell's equations with distributed sources upon the introduction of fictitious volume currents distributions which correct for the field errors. Additionally, current sheet distributions are introduced which generate a radiation modal field that satisfies the boundary conditions, the radiation condition for plane waves, and Maxwell's equations with distributed sources. The scatter problem is solved by eliminating these volume and sheet current densities in an iterative procedure which produces a composite field that satisfies all requirements. Reciprocity is satisfied by using only the first-order field solution. The first-order solution of the CC method reduces to the small perturbation and the Kirchhoff methods in the regions of validity and is more accurate than these methods in regions where neither are considered valid. This paper extends the CC method to the more general and important case of beam wave scattering by a deterministic rough metal surface.

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