MATHEMATICAL STUDIES IN RIGOROUS GRATING THEORY

被引：143

作者：

BAO, G

DOBSON, DC

COX, JA

机构：

[1] TEXAS A&M UNIV,DEPT MATH,COLLEGE STN,TX 77843

[2] HONEYWELL TECHNOL CTR,MINNEAPOLIS,MN 55418

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 1995年 / 12卷 / 05期

关键词：

D O I：

10.1364/JOSAA.12.001029

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We consider the diffraction of a time-harmonic wave incident upon a grating (or periodic) structure. We study mathematical issues that arise in the direct modeling, inverse, and optimal design problems. Particular attention is paid to the variational approach and to finite-element methods. For the direct problem various results on existence, uniqueness, and numerical approximations of solutions are presented. Convergence properties of the variational method and sensitivity to TM polarization are examined. Our recent research on inverse diffraction problems and optimal design problems is also discussed.

引用

页码：1029 / 1042

页数：14

共 51 条

[1]

Petit R., Electromagnetic Theory of Gratings, 22, (1980)

[2]

Gaylord T.K., Moharam M.G., Analysis and applications of optical diffraction by gratings, Proc. IEEE, 73, pp. 894-937, (1985)

[3]

Li L., A model analysis of lamellar diffraction gratings in conical mountings, J. Mod. Opt., 40, pp. 553-573, (1993)

[4]

Bruno O., Reitich F., Numerical solution of diffraction problems: A method of variation of boundaries, J. Opt. Soc. Am. A, 10, pp. 1168-1175, (1993)

[5]

Bruno O., Reitich F., Numerical solution of diffraction problems: A method of variation of boundaries. II. Finitely conducting gratings, Pade approximants, and singularities, J. Opt. Soc. Am. A, 10, pp. 2307-2316, (1993)

[6]

Bruno O., Reitich F., Accurate calculation of diffractive grating efficiencies, Smart Structures and Materials 1993: Mathematics in Smart Structures, 1919, pp. 236-247, (1993)

[7]

Bruno O., Reitich F., Numerical solution of diffraction problems: A method of variation of boundaries. III. Dou bly periodic gratings, J. Opt. Soc. Am. A, 10, pp. 2551-2562, (1993)

[8]

Bruno O., Reitich F., Approximation of analytic functions: A method of enhanced convergence, Math. Comp., 63, pp. 195-213, (1994)

[9]

Dobson D., A variational method for electromagnetic diffraction in biperiodic structures, Model. Math. Anal. Numer., 28, pp. 419-439, (1994)

[10]

Abboud T., Etude mathématique Et numérique De Quelques problèmes De Diffraction Dondes électromagnétiques, (1991)

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