The partial region method in 2-D electromagnetic and acoustic problems

The mathematical methods, used for solving acoustic and electromagnetic wave problems, defined in two dimensions, are analogous in many cases. The analytical and numerical results of a field in the outside domain of curvilinear rectangle are presented in this paper. Based on the wave equation, boundary conditions and radiation condition the structure of the field is determined. The method of the partial regions is used. For the acceptability criterion of the quantity of the members by which the field is calculated, the fulfillment of boundary conditions on the radiating surfaces and the fulfillment of conjunction conditions between the partial regions were observed. The results are applicable to the optimum design of acoustic and electromagnetic antennas.