Analysis of arbitrary profiles by implementation of integral equation eigenvalue analysis

摘要

A semianalytical method of analysis for arbitrary circular and noncircular profiles as applicable to the scalar wave equation is presented. It has its fundamental basis in perturbation theory and incorporates Green's function and integral equation eigenvalue techniques. It requires formal solution only within the region of perturbation, resulting in the number of calculations being directly related to the range of perturbation and also uses no approximations such as those found in conventional numerical techniques, thus culminating in a powerful method of analysis possessing extremely high accuracy (>10/sup -5/%). Furthermore, methods for the analysis of two-dimensional integral equations are developed.