Optimization of the cross-sectional shape of a ridge waveguide using the ellipsoid and the tabu search algorithms

The problem of electromagnetic wave propagation in a hollow-pipe waveguide is of considerable. In order to perform a more complete study of the optimal design of a ridged waveguide, an approach where this problem is formulated in a class of inverse electromagnetic problems is considered. The geometric shape of the waveguide is computed so that two prescribed lowest modes of the transverse magnetic fields are obtained. A general formulation of the problem is presented: the electromagnetic problem is solved by a finite-difference scheme, and the ellipsoid and the tabu search algorithms are used to solve the optimization problem. This formulation should enable the design of guides to meet most practical specifications. Some computational results are given.