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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

67 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Pages (de - à)	696-702
Nombre de pages	7
journal	Journal of the Optical Society of America A: Optics and Image Science, and Vision
Volume	27
Numéro de publication	4
Les DOIs	https://doi.org/10.1364/JOSAA.27.000696
état	Publié - 1 avr. 2010
Modification externe	Oui

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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.",

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

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