INTEGRAL EQUATION‐BASED METHODS FOR THE NUMERICAL SOLUTION OF NONSEPARABLE EM RADIATION AND SCATTERING PROBLEMS

Integral equation methods in electromagnetics may be thought of as a deconvolution approach to solving for fields, currents or charges, because the unknown quantity appears within an integral with a convolution‐type operator. There are two types of integral equations of consideration: boundary integral equations and volume integral equations. The use of boundary integral equations to solve general radiation and scattering problems stems from the relation between the electromagnetic fields within a closed volume and the tangential fields on the boundary. The chapter presents a description of some of the basic numerical methods used in the computational EM solution of integral equations. In the method of moments (MoM), the generally complex and asymmetric matrix requires the application of more advanced algorithms to the solution. The MoM solution enforces the boundary condition on the total incident plus scattered field.