Abstract

Numerical solution of integral equations for the surface current on perfectly conducting echelette-type diffraction gratings is used for comparison with the results of five approximate-analysis techniques. The edge singularity of the current for the P(E_∥) polarization and the relatively large current in the shadow region for the S(H_∥) polarization give some insight into the rather restricted limits of validity of the perturbation, scalar diffraction, and physical-optics techniques. Two more-general approaches, based on the Rayleigh hypothesis of using only outward-diffracted orders, while considerably more versatile, are found to be at best of marginal use in studying the physical phenomena associated with typical echelette gratings.

© 1972 Optical Society of America

Diffraction of a Parallel- and Perpendicular-Polarized Wave from an Echelette Grating*

S. Jovićević and S. Sesnic
J. Opt. Soc. Am. 62(7) 865-877 (1972)

Numerical Method for the Analysis of Diffraction Gratings*

H. A. Kalhor and A. R. Neureutther
J. Opt. Soc. Am. 61(1) 43-48 (1971)

Analysis of diffraction gratings by finite-difference coupling technique

H. A. Kalhor and M. K. Moaveni
J. Opt. Soc. Am. 63(12) 1584-1588 (1973)

Diffraction by Two Long, Parallel Strips. Vertical Polarization

Louis A. DeAcetis and Irving Lazar
J. Opt. Soc. Am. 62(1) 70-76 (1972)

Anomalous Behavior of Blazed Gratings

C. Harvey Palmer and Howard W. LeBrun
Appl. Opt. 11(4) 907-913 (1972)