Evaluation of Unsteady Non-Harmonic Fields in Microwave Devices. I. Decomposition in the Partial Modes

Abstract

Decomposition of electrodynamic line field in so-called partial modes is described. It can be useful for the matched lines, where decomposition in the line eigenmodes is unsuitable because of the continuality of their spectrum. In addition to avoidance of the Fourier integral over a continuum of the normal eigenmodes in matched lines, the partial modes are effective also in simulations of long and irregular lines. Due to the longitudinal localization of the partial modes, the field structure and the electrodynamic parameters of ones depend on the characteristic of a limited longitudinal part of the line. Therefore, only limited number of the partial modes can be taken into account in each transverse section of the line.