Improvement of the coordinate transformation method for surface-relief gratings with sharp edges

被引：71

作者：

Li, LF ^{[1
]}

Chandezon, J ^{[1
]}

机构：

[1] UNIV CLERMONT FERRAND,URA CNRS 1793,LAB SCI & MAT ELECT & AUTOMAT,F-63177 CLERMONT FERRAN,FRANCE

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 1996年 / 13卷 / 11期

关键词：

D O I：

10.1364/JOSAA.13.002247

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The coordinate transformation method for modeling surface-relief gratings is reformulated with use of the recent results [J. Opt. Sec. Am. A 13, 1870 (1996)] on the Fourier factorization of products that contain discontinuous periodic functions. The matrix operator of the eigenvalue problem in the traditional formulation is modified following the correct Fourier factorization procedures. In addition, a new and simpler matrix operator is derived. Both the modified old operator and the new operator greatly improve the convergence of the coordinate transformation method for gratings whose profiles have sharp edges. (C) 1996 Optical Society of America.

引用

页码：2247 / 2255

页数：9

共 23 条

[1] MULTICOATED GRATINGS - A DIFFERENTIAL FORMALISM APPLICABLE IN THE ENTIRE OPTICAL-REGION [J].

CHANDEZON, J ;

DUPUIS, MT ;

CORNET, G ;

MAYSTRE, D .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1982, 72 (07) :839-846

[2] A NEW THEORETICAL METHOD FOR DIFFRACTION GRATINGS AND ITS NUMERICAL APPLICATION [J].

CHANDEZON, J ;

MAYSTRE, D ;

RAOULT, G .

JOURNAL OF OPTICS-NOUVELLE REVUE D OPTIQUE, 1980, 11 (04) :235-241

[3] SCATTERING-MATRIX APPROACH TO MULTILAYER DIFFRACTION [J].

COTTER, NPK ;

PREIST, TW ;

SAMBLES, JR .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1995, 12 (05) :1097-1103

[4] POLARIZATION CONVERSION FROM DIFFRACTION GRATINGS [J].

ELSTON, SJ ;

BRYANBROWN, GP ;

SAMBLES, JR .

PHYSICAL REVIEW B, 1991, 44 (12) :6393-6400

[5]

Granet G., 1995, Pure and Applied Optics, V4, P1, DOI 10.1088/0963-9659/4/1/001

[6] Efficient implementation of the coupled-wave method for metallic lamellar gratings in TM polarization [J].

Granet, G ;

Guizal, B .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1996, 13 (05) :1019-1023

[7] DIFFERENTIAL FORMALISM FOR MULTILAYER DIFFRACTION GRATINGS MADE WITH UNIAXIAL MATERIALS [J].

HARRIS, JB ;

PREIST, TW ;

SAMBLES, JR .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1995, 12 (09) :1965-1973

[8] RIGOROUS DIFFRACTION THEORY FOR TRANSMISSION PHASE GRATINGS WITH DEEP RECTANGULAR GROOVES [J].

KNOP, K .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1978, 68 (09) :1206-1210

[9] 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

[10]

Li L., 1996, PURE APPL OPT, V5, P141

← 1 2 3 →