We present a solution based on the Rayleigh hypothesis. The calculation leads to a matrix system that can be computed to yield the efficiencies of a two-dimensional dielectric grating. The results are compared with previously reported numerical results obtained both with exact theories and with perturbation methods. We show that our method can treat rougher surfaces than can classic perturbation methods.
© 1999 Optical Society of America
Original Manuscript: September 28, 1998
Revised Manuscript: February 16, 1999
Manuscript Accepted: February 19, 1999
Published: June 1, 1999
V. Bagnoud and S. Mainguy, "Diffraction of electromagnetic waves by dielectric crossed gratings: a three-dimensional Rayleigh–Fourier solution," J. Opt. Soc. Am. A 16, 1277-1285 (1999)