Nonstationary Model Problems for Waveguide Open Resonator Theory

Abstract

ABSTRACT The paper takes a fresh look at rigorous approaches and algorithms for model problems of electromagnetic theory of waveguide discontinuities. Numerical experiment is still the main tool for investigation the resonant wave scattering phenomena, which are characteristic for such structures. The mathematical approaches employed for such purposes have to fit certain requirements for accuracy, efficiency and versatility, for ability to be focused on particular details of various practically interesting regimes. The approaches for analysis of transient processes in waveguide open resonators considered herein satisfy all these requirements. They rely on the description of scattering properties of discontinuities in regular waveguides in terms of transform operators related to “evolutionary basis” of nonstationary signals, which are qualitatively the same for all guiding structures. The prototypes of such approaches in frequency domain (FD) have been verified by large body of boundary value problems (BVP) and their efficiency has been demonstrated. Their modification for time domain (TD) has been carried out for the first time.