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

High order integral equation method for diffraction gratings

Not Accessible

Your library or personal account may give you access

Abstract

Conventional integral equation methods for diffraction gratings require lattice sum techniques to evaluate quasi-periodic Green’s functions. The boundary integral equation Neumann-to-Dirichlet map (BIE-NtD) method in Wu and Lu [J. Opt. Soc. Am. A 26, 2444 (2009)], [J. Opt. Soc. Am. A 28, 1191 (2011)] is a recently developed integral equation method that avoids the quasi-periodic Green’s functions and is relatively easy to implement. In this paper, we present a number of improvements for this method, including a revised formulation that is more stable numerically, and more accurate methods for computing tangential derivatives along material interfaces and for matching boundary conditions with the homogeneous top and bottom regions. Numerical examples indicate that the improved BIE-NtD map method achieves a high order of accuracy for in-plane and conical diffractions of dielectric gratings.

©2012 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)

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

Yumao Wu and Ya Yan Lu
J. Opt. Soc. Am. A 26(11) 2444-2451 (2009)

Solving conical diffraction grating problems with integral equations

Leonid I. Goray and Gunther Schmidt
J. Opt. Soc. Am. A 27(3) 585-597 (2010)

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 (5)

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

Equations (32)

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