On the Schwarz alternating method for solving electromagnetic problems

Abstract

In this paper applying of Schwarz alternating method to solving a problem of electromagnetic wave diffraction on parallel plate linear phased antenna array scanning in H-plane is considered. Expressions for reflection coefficient in i-order iteration is obtained. Optimal iteration method, which extends application range of Schwarz method, is represented. Investigation of optimal iteration method convergence at different number of modes is performed. Reflection factor value at different wall thickness is obtained. A diffraction problem for infinite phased antenna array with dielectric-filled waveguides was solved. Relations between reflection factor and scan angle at fixed permittivity of dielectric filling is obtained. The results of comparison show that the algorithm is applicable for such kind of problems.