TIME-DOMAIN ANALYSIS OF OPEN RESONATORS. ANALYTICAL GROUNDS.

This paper is concerned with the solution of theoretical and methodological problems arising in the time-domain (TD) analysis of open resonators (OR). The potentialities of the frequency-domain (FD) methods as applied to the problems of this kind have been almost exhausted. This became evident when researches came up against the synthesis problems for open dispersive structures in resonant quasi-optics, for electrodynamic systems in devices of solid-state or vacuum electronics, and others. The application of more universal TD methods (1, 2) to the analysis of resonance conditions, which are acutely sensitive to variations in the system parameters, must be grounded on stable and reliable numerical algorithms. At the same time, the physical treatment of the numerical results here is impossible without justified and simplified analytical representations for the solutions of the initial boundary-value problems considered. In numerical experiments, proper allowance must be made for the results