Abstract

We introduce a new method for the solution of the scattered electric-field distribution in the case of a plane wave obliquely incident on a metallic strip grating. The initial formulation of the problem is carried out as described in Ref. ¹. The iteration procedure is, however, applied in the space domain by representing the truncation of the electric and current fields as a matrix multiplication. Assuming infinite iterations are carried out, a system of linear equations for the electric-field coefficients is derived. This system of equations is equivalent to that arrived at by using the moment method solution.² A solution is obtained by truncating the infinite dimensional matrix and using Gauss elimination to solve the system of linear equations. We tested our method for various configurations of the scatterer and different angles of oblique incidence of the plane wave. It was observed that, for all the configurations considered, the error in the electric-field distribution decreased monotonically with increasing matrix size.

© 1987 Optical Society of America