A method is described for modeling two-dimensional reflecting structures based on a solution of the scalar Helmholtz equation. The equation is solved by use of an alternating-direction-implicit iterative method together with a semioptimum sequence of acceleration parameters similar to those introduced decades ago for the solution of elliptic equations with positive-definite operators. The resulting technique is efficient and simple to program, permits the simulation of complex structures with modest storage requirements, and is of very general applicability.
© 1994 Optical Society of America
Original Manuscript: July 28, 1993
Published: January 15, 1994
G. Ronald Hadley, "Numerical simulation of reflecting structures by solution of the two-dimensional Helmholtz equation," Opt. Lett. 19, 84-86 (1994)