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High order integral equation method for diffraction gratings |
JOSA A, Vol. 29, Issue 5, pp. 734-740 (2012)
http://dx.doi.org/10.1364/JOSAA.29.000734
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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
OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.1960) Diffraction and gratings : Diffraction theory
(050.1755) Diffraction and gratings : Computational electromagnetic methods
ToC Category:
Diffraction and Gratings
History
Original Manuscript: January 3, 2012
Manuscript Accepted: January 26, 2012
Published: April 19, 2012
Citation
Wangtao Lu and Ya Yan Lu, "High order integral equation method for diffraction gratings," J. Opt. Soc. Am. A 29, 734-740 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-5-734
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