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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 27, Iss. 4 — Apr. 1, 2010
  • pp: 696–702

Fast modal method for subwavelength gratings based on B-spline formulation

Patrick Bouchon, Fabrice Pardo, Riad Haïdar, and Jean-Luc Pelouard  »View Author Affiliations


JOSA A, Vol. 27, Issue 4, pp. 696-702 (2010)
http://dx.doi.org/10.1364/JOSAA.27.000696


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Abstract

We present a B-spline modal method for analyzing a stack of complex structured layers. Thanks to a B-spline approximation of the field, we solve the Maxwell equations. Diffraction calculation is based on the scattering matrices algorithm. We prove a good convergence of this method. Moreover, B-spline approximation results in very sparse matrices, which are used to hasten the computation of eigenmodes. A method for cleaning the inverted sparse matrix is also presented.

© 2010 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(050.6624) Diffraction and gratings : Subwavelength structures

ToC Category:
Diffraction and Gratings

History
Original Manuscript: November 6, 2009
Revised Manuscript: January 26, 2010
Manuscript Accepted: January 28, 2010
Published: March 15, 2010

Citation
Patrick Bouchon, Fabrice Pardo, Riad Haïdar, and Jean-Luc Pelouard, "Fast modal method for subwavelength gratings based on B-spline formulation," J. Opt. Soc. Am. A 27, 696-702 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-4-696

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