Electromagnetic Boundary-Value Problems Based Upon a Modification of Residue Calculus and Function Theoretic Techniques,

摘要

The solution to a number of electromagnetic problems,in both closed and open systems,using the modified residue calculus and functional theoretic techniques is presented. The solutions start with known closed region problems and then are extended to new closed region problems and finally to several open region problems. Specific problems considered for the closed region are: (1) the trifurcated waveguide; (2) the dielectrically loaded trifurcated waveguide; (3) the N-furcated waveguide; (4) the dielectrically loaded N-furcated waveguide; (5) determination of the eigenvalues of a ridged waveguide;and (6) scattering by a dielectric stop. Open region problems considered are: (1) a parallel plate radiating into a homogeneous half-space; (2) a finite phased array; (3) remote sensing of the earth using parallel plate waveguides; (4) a flanged waveguide radiating into a half-space; (5) scattering by a thick,semi-infinite plane;and (6) radiation from a slot in a waveguide wall. Some suggested extensions of the techniques to other types of problems are also included.