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

Patrick Bouchon; Fabrice Pardo; Riad Haïdar; Jean Luc Pelouard

doi:10.1364/JOSAA.27.000696

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

Patrick Bouchon
, Fabrice Pardo
, Riad Haïdar
, Jean Luc Pelouard

Centre de Nanosciences et de Nanotechnologies
ONERA Office National d'Etudes et Recherches Aerospatiales

Research output: Contribution to journal › Article › peer-review

67 Citations (Scopus)

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.

Original language	English
Pages (from-to)	696-702
Number of pages	7
Journal	Journal of the Optical Society of America A: Optics and Image Science, and Vision
Volume	27
Issue number	4
DOIs	https://doi.org/10.1364/JOSAA.27.000696
Publication status	Published - 1 Apr 2010
Externally published	Yes

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10.1364/JOSAA.27.000696

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title = "Fast modal method for subwavelength gratings based on B-spline formulation",

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.",

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AU - Pardo, Fabrice

AU - Haïdar, Riad

AU - Pelouard, Jean Luc

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Y1 - 2010/4/1

N2 - 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.

AB - 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.

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DO - 10.1364/JOSAA.27.000696

M3 - Article

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JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision

JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision

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ER -

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

Abstract

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