Numerical method for analysis of one- and two-dimensional electromagnetic scattering based on using linear Fredholm integral equation models

Since many problems in one- and two-dimensional electromagnetic scattering can be modeled by linear Fredholm integral equations of the first or the second kind, the main focus of this paper is to present an effective numerical method for solving them. This method is based on vector forms of block-pulse functions. By using this approach, solving the linear Fredholm integral equation reduces to solve a linear system of algebraic equations. The advantages of the proposed method are low cost of setting up the equations without applying any projection method such as collocation, Galerkin, etc., setting up a linear system of algebraic equations of appropriate condition number, and good accuracy. Test problems are provided to illustrate its accuracy and computational efficiency, and some practical one- and two-dimensional scatterers are analyzed by it.