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Formulation Of Integral Equations Using Analytic Green's Functions In Elliptic Cylindrical And Prolate Spheroidal Coordinates, Adam Schreiber

All Theses

It is desired to develop and present techniques, using analytic Green's functions in elliptic cylindrical coordinates and in prolate spheroidal coordinates, for formulating integral equations for physically practicable structures and sources. Equivalent models for two structures are introduced which serve as guides in the derivation of analytic Greens functions, comprising special functions and satisfying required boundary conditions. Expressions for needed field components are represented in terms of integrals of Greens functions times unknowns, and integral equations follow from the proper relationships among sources and field components needed to satisfy Maxwell's equations.