Abstract

We present a rigorous differential method describing the conical diffraction of an electromagnetic plane wave by an inclined parallel-plate grating. Above and below the grating, the fields are written with the use of Rayleigh’s expansion. Inside the grating, Maxwell’s equations are used in covariant form, written in a nonorthogonal coordinate system. Therefore the expression of boundary conditions on the perfectly conducting walls as well as on the planes delimiting the grating becomes simplified. In the classical diffraction case the numerical results compared successfully with those obtained with a Wiener–Hopf method [IEEE Trans. Antennas Propag. 36, 1424 (1988)].

© 1997 Optical Society of America

Extension of the C method to nonhomogeneous media: application to nonhomogeneous layers with parallel modulated faces and to inclined lamellar gratings

Gérard Granet, Jean Chandezon, and Olivier Coudert
J. Opt. Soc. Am. A 14(7) 1576-1582 (1997)

New perturbation theory of diffraction gratings and its application to the study of ghosts

R. Dusséaux, C. Faure, J. Chandezon, and F. Molinet
J. Opt. Soc. Am. A 12(6) 1271-1282 (1995)

Method of fictitious sources as applied to the electromagnetic diffraction of a plane wave by a grating in conical diffraction mounts

F. Zolla and R. Petit
J. Opt. Soc. Am. A 13(4) 796-802 (1996)

Curvilinear coordinate method as an initial value problem: application to gratings

Cihui Pan, Richard Dusséaux, Mandiaye Fall, and Nahid Emad
J. Opt. Soc. Am. A 32(1) 143-149 (2015)

Coordinate transformation method as applied to asymmetric gratings with vertical facets

J. P. Plumey, B. Guizal, and J. Chandezon
J. Opt. Soc. Am. A 14(3) 610-617 (1997)