Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Analyzing diffraction gratings by a boundary integral equation Neumann-to-Dirichlet map method

Not Accessible

Your library or personal account may give you access

Abstract

For analyzing diffraction gratings, a new method is developed based on dividing one period of the grating into homogeneous subdomains and computing the Neumann-to-Dirichlet (NtD) maps for these subdomains by boundary integral equations. For a subdomain, the NtD operator maps the normal derivative of the wave field to the wave field on its boundary. The integral operators used in this method are simple to approximate, since they involve only the standard Green’s function of the Helmholtz equation in homogeneous media. The method retains the advantages of existing boundary integral equation methods for diffraction gratings but avoids the quasi-periodic Green’s functions that are expensive to evaluate.

© 2009 Optical Society of America

Full Article  |  PDF Article
More Like This
Boundary integral equation Neumann-to-Dirichlet map method for gratings in conical diffraction

Yumao Wu and Ya Yan Lu
J. Opt. Soc. Am. A 28(6) 1191-1196 (2011)

High order integral equation method for diffraction gratings

Wangtao Lu and Ya Yan Lu
J. Opt. Soc. Am. A 29(5) 734-740 (2012)

Chebyshev collocation Dirichlet-to-Neumann map method for diffraction gratings

Dawei Song and Ya Yan Lu
J. Opt. Soc. Am. A 26(9) 1980-1988 (2009)

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 Optica member, or as an authorized user of your institution.

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

Figures (4)

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

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

Tables (2)

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

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

Equations (55)

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

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

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved