Full-wave electromagnetic modeling

Abstract

The paper gives a review of experience accumulated by the authors during:

- developing of a number of efficient algorithms for the key problems of essentially different classes;

- creation of all-purpose simulation system SES-04 and its following modification for PC;

- creation of a number of problem-oriented computer-aided systems;

- using these algorithms and systems for physical studies, especially in multi-mode region and in the region of characteristic resonant phenomena;

- search, on this basis, for fundamental physical laws connected with natural oscillation of waveguide objects considered as open waveguide resonators;

- mastering software of synthesis of frequency-, angle-, and polarization-selective devices, waveguide bends, transitions, mode transfonners and so on.

Fundamental basis, of all the studies is described, consisting in numerical and numerical-analytical algorithms of the solution of key boundary-value problems.

Some special points in the S-matrix technique are presented, either increasing essentially the overall efficiency of solutions or widening the area of their applications.

It is shown how mathematical models of spectral theory allow to obtain a good insight in the phenomena lying in the basis of certain electromagnetic effects.

A deep physical analysis based on exact mathematical models of different waveguide and grating units is displayed for the three trends developed as the separate goals, namely: analysis of general laws that are intrinsic for the scattered fields, especially in multi-mode region where accurate measurements are not realizable in practice; search for the scattering regimes not predicted by heuristic approaches, that are highly promising for the practice; study of complicated units and devices, experimental analysis of whose properties can not be frequently realized in full scale because of the limited time and equipment.

Examples of using the system of computer-aided modeling SES-04 for immediate practical purposes are shown in two cases. First, for verification (without manufacturing) of new design ideas arising in the process of heuristic search, and, second, in the case of a positive effect the same system can be used for immediate perfection of the design by invoking build-in optimization programs.

Specific features of some of a great variety of problem-oriented programs are reviewed in brief.