Abstract

A rigorous solution is presented for plane-wave scattering by an asymmetric diffraction grating, which consists of a corrugated structure with three different groove depths per period. After establishing that asymmetry effects in the scattered amplitudes may be observed only if at least three spectral orders are present, we find that maximum asymmetry occurs when the angle of incidence closely satisfies a Bragg condition. For normal incidence, the peak asymmetry coincides with blazing, the degree of which may be quite significant. By employing simple phasing considerations, we derive a scheme for optimizing the grating design, and present examples illustrating that very high blazing efficiencies are easily attainable.

© 1973 Optical Society of America

Equivalent Network Representation for High Efficiency Corrugated Blaze Grating

David Y. Tseng
Appl. Opt. 12(9) 2050-2053 (1973)

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)

Efficiency of optical-grating couplers

R. Ulrich
J. Opt. Soc. Am. 63(11) 1419-1431 (1973)

Smith–Purcell radiation from a line charge moving parallel to a reflection grating

P. M. van den Berg
J. Opt. Soc. Am. 63(6) 689-698 (1973)

Light scattering by a single cylindrical lens: numerical results from a rigorous theory

Walid Tabbara
J. Opt. Soc. Am. 63(1) 17-24 (1973)