Fields Excitation in Open Resonators based on Shestopalovs - Poedinchuk Spectral Theory

Abstract

A new approach to solving the problems of excitation of open resonators (OR) by internal sources is proposed and substantiated. On the basis of the Shestopalovs-Poedinchuk Spectral Theory of OR, an expression for the complete Green's function of a two-dimensional OR formed by ideally conductive cylindrical mirrors is obtained. Equations describing the complex amplitudes of resonant modes and, at the same time, allowing to estimate the nonresonant radiation of the source from the OR are derived.The general structure and nature of the dependence of the non-resonant part of the Green's function in the vicinity of a separate resonance on the source frequency have been studied. Equations for slow-varying amplitudes of resonant modes are obtained, suitable for describing a single-mode and multimode self-oscillations in the generators with OR.