Diffraction of electromagnetic waves by dielectric crossed gratings: a three-dimensional Rayleigh-Fourier solution

被引:14
作者
Bagnoud, V [1 ]
Mainguy, S [1 ]
机构
[1] CEA, CESTA, F-33114 Le Barp, France
来源
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 1999年 / 16卷 / 06期
关键词
D O I
10.1364/JOSAA.16.001277
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
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. (C) 1999 Optical Society of America [S0740-3232(99)02406-0].
引用
收藏
页码:1277 / 1285
页数:9
相关论文
共 21 条
[1]  
Born M., 1970, Principles of Optics, P4
[2]   ELECTROMAGNETIC DIFFRACTION ANALYSIS OF 2-DIMENSIONAL GRATINGS [J].
BRAUER, R ;
BRYNGDAHL, O .
OPTICS COMMUNICATIONS, 1993, 100 (1-4) :1-5
[3]   NUMERICAL-SOLUTION OF DIFFRACTION PROBLEMS - A METHOD OF VARIATION OF BOUNDARIES .3. DOUBLY PERIODIC GRATINGS [J].
BRUNO, OP ;
REITICH, F .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (12) :2551-2562
[4]   FINITE-ELEMENT METHOD FOR GRATINGS [J].
DELORT, T ;
MAYSTRE, D .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (12) :2592-2601
[5]   CROSSED GRATINGS - THEORY AND ITS APPLICATIONS [J].
DERRICK, GH ;
MCPHEDRAN, RC ;
MAYSTRE, D ;
NEVIERE, M .
APPLIED PHYSICS, 1979, 18 (01) :39-52
[6]  
Granet G., 1995, Pure and Applied Optics, V4, P777, DOI 10.1088/0963-9659/4/6/008
[7]   DIFFRACTION OF ELECTROMAGNETIC-WAVES BY CROSSED GRATINGS - A SERIES SOLUTION [J].
GREFFET, JJ ;
BAYLARD, C ;
VERSAEVEL, P .
OPTICS LETTERS, 1992, 17 (24) :1740-1742
[8]   SCATTERING OF ELECTROMAGNETIC-WAVES BY A GRATING - A NUMERICAL EVALUATION OF THE ITERATIVE-SERIES SOLUTION [J].
GREFFET, JJ ;
MAASSARANI, Z .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1990, 7 (08) :1483-1493
[9]   SCATTERING OF ELECTROMAGNETIC-WAVES BY ROUGH DIELECTRIC SURFACES [J].
GREFFET, JJ .
PHYSICAL REVIEW B, 1988, 37 (11) :6436-6441
[10]   Highly improved convergence of the coupled-wave method for TM polarization [J].
Lalanne, P ;
Morris, GM .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1996, 13 (04) :779-784