The Integral Equation Method in the Problem of Electromagnetic Waves Diffraction by Complex Bodies

Abstract

ABSTRACT A numerical approach based on the method of integral equations is used to solve a very large class of applied electrodynamic problems. First of all, many problems of diffraction and excitation for bodies of different nature and form were solved. Representation of unknown currents as a sum of “uniform” and “nonuniform” components permits the use of integral equations to solve such problems for semi-infinite structures. It gives the opportunity to determine the diffraction coefficients used in Keller‘s geometrical theory of diffraction, and nonuniform currents used in Ufimtsev‘s method of edge waves for cases where canonical problems have no analytical solutions. It extends the field of application of these asymptotic methods. In addition, the method of integral equations can be used to consider objects supporting surface waves.