A novel time domain simulation approach for an-11. THEORY alyzing three-dimensional (3-D) passive microwave structures is presented. The electromagnetic fields of the structure under investiEation are expanded into a hierarchical system of wavelets with equations in the lime domain for nonconducting isotropic media (1) the time derivatives are approximated with central finite differences Of second order so explicit equations With respect to time are obtained d l d 1 -E = -curlH, at P at E and scaling functions for all three dimensions leading to a stable, multiscale algorithm. By neglecting small wavelet coefficients and thereby reducing the computational effort, this method is equivalent to a finite difference scheme with a time dynamic space adaptive grid. A brief overview of the main ideas and advantages of the new method as well as the results of two numerical examples are given. -H = --curlE at En = En-1 + -curl H"-+ E
By combing the FDTD and the FD2 method, a nearly ideal absorbing boundary together with a mode extraction algorithm for arbitrariy shaped homogeneously filled waveguides is realized. With this extension of the FDTD method nmttl-mode analysIs of waveguide comrponents can be done in an effrient and versatile manner. The sintulations performed to verify the algorithms show excellent agreement with previously published data.
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