Abstract

This paper presents a rigorous approach for the propagation of electromagnetic (EM) flelds along a straight hollow waveguide with a circular cross section. The objectives are to present the technique to calculate the dielectric proflles and their transverse derivatives in the inhomogeneous cross section of the cylindrical hollow waveguide, and to understand the in∞uence of the spot-size and cross section on the output flelds and output power density. The derivation is based on Maxwell's equations. The longitudinal components of the flelds are developed into the Fourier-Bessel series. The transverse components of the flelds are expressed as functions of the longitudinal components in the Laplace plane and are obtained by using the inverse Laplace transform by the residue method. The separation of variables is obtained by using the orthogonal-relations. These objectives contribute to the application of the model for the straight hollow waveguide.

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