Abstract

Modifying the least-squares problem arising in the Yasuura method, we establish a computer-aided algorithm for the numerical solution of the diffraction problems for a grating having a smooth profile. In the algorithm, the least-squares problem is solved by the QR algorithm method. As a result, the present algorithm enables us to find the precise solutions for a wider range of problems in comparison with those found by the previous algorithm. This is demonstrated by numerical examples. Also it is shown that the diffraction efficiency of gratings with various groove profiles is calculated with a high accuracy for both E- and H-wave incidences.

© 1990 Optical Society of America

Efficient technique for numerical solution of diffraction by a sinusoidal grating

Y. Okuno and T. Matsuda
J. Opt. Soc. Am. A 2(4) 572-577 (1985)

Numerical analysis of diffraction from a grating by the mode-matching method with a smoothing procedure

K. Yasuura and Y. Okuno
J. Opt. Soc. Am. 72(7) 847-852 (1982)

Boundary-element analysis of plane-wave diffraction from groove-type dielectric and metallic gratings

Yasunori Nakata and Masanori Koshiba
J. Opt. Soc. Am. A 7(8) 1494-1502 (1990)

Algorithm for the rigorous coupled-wave analysis of grating diffraction

Nicolas Chateau and Jean-Paul Hugonin
J. Opt. Soc. Am. A 11(4) 1321-1331 (1994)

Efficient technique for the numerical solution of diffraction by a Fourier grating

Y. Okuno and T. Matsuda
J. Opt. Soc. Am. A 4(3) 465-472 (1987)