Abstract

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.

© 1995 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
A computational inverse diffraction grating problem

Gang Bao, Peijun Li, and Haijun Wu
J. Opt. Soc. Am. A 29(4) 394-399 (2012)

Rigorous and efficient grating-analysis method made easy for optical engineers

Lifeng Li, Jean Chandezon, Gérard Granet, and Jean-Pierre Plumey
Appl. Opt. 38(2) 304-313 (1999)

Grating theory: new equations in Fourier space leading to fast converging results for TM polarization

Evgeni Popov and Michel Nevière
J. Opt. Soc. Am. A 17(10) 1773-1784 (2000)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (9)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (86)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription