A fast algorithm for the electromagnetic scattering from a large rectangular cavity in three dimensions

The paper is concerned with the three-dimensional electromagnetic scattering from a large open rectangular cavity that embedded in perfectly electrically conducting infinite ground plane. By introducing transparent boundary condition, problem formulated into value bounded cavity. Based on Fourier expansions of electric field, Maxwell equation reduced to one-dimensional ordinary differential equations for coefficients. A fast algorithm, employing transform and Gaussian elimination, developed solve resulting linear system which filled either homogeneous or layered medium. In addition, novel scheme designed evaluate rapidly accurately singular integrals. Numerical experiments are presented cavities demonstrate superior performance proposed method.