Reduced scattering-matrix algorithm for high-density plasmonic structures

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

doi:10.1364/OL.35.003222

Reduced scattering-matrix algorithm for high-density plasmonic structures

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

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

Abstract

We describe a method to compute S-matrix interface terms using a selection of eigenmodes. When solving the modal equation, the computation of left and right eigenvectors leads to rectangular eigenmodes matrices. Expressions of Smatrix interface terms are then expressed so as to allow for a significant reduction of the computation cost. The reduction is even further decreased in the case of the B-spline modal method, which deals with sparse matrices. Its convergence is illustrated on a high-density plasmonic structure and compared to a full modal method.

Original language	English
Pages (from-to)	3222-3224
Number of pages	3
Journal	Optics Letters
Volume	35
Issue number	19
DOIs	https://doi.org/10.1364/OL.35.003222
Publication status	Published - 1 Oct 2010
Externally published	Yes

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title = "Reduced scattering-matrix algorithm for high-density plasmonic structures",

abstract = "We describe a method to compute S-matrix interface terms using a selection of eigenmodes. When solving the modal equation, the computation of left and right eigenvectors leads to rectangular eigenmodes matrices. Expressions of Smatrix interface terms are then expressed so as to allow for a significant reduction of the computation cost. The reduction is even further decreased in the case of the B-spline modal method, which deals with sparse matrices. Its convergence is illustrated on a high-density plasmonic structure and compared to a full modal method.",

author = "Patrick Bouchon and Fabrice Pardo and Riad Ha{\"i}dar and Gr{\'e}gory Vincent and Pelouard, \{Jean Luc\}",

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AU - Bouchon, Patrick

AU - Pardo, Fabrice

AU - Haïdar, Riad

AU - Vincent, Grégory

AU - Pelouard, Jean Luc

PY - 2010/10/1

Y1 - 2010/10/1

N2 - We describe a method to compute S-matrix interface terms using a selection of eigenmodes. When solving the modal equation, the computation of left and right eigenvectors leads to rectangular eigenmodes matrices. Expressions of Smatrix interface terms are then expressed so as to allow for a significant reduction of the computation cost. The reduction is even further decreased in the case of the B-spline modal method, which deals with sparse matrices. Its convergence is illustrated on a high-density plasmonic structure and compared to a full modal method.

AB - We describe a method to compute S-matrix interface terms using a selection of eigenmodes. When solving the modal equation, the computation of left and right eigenvectors leads to rectangular eigenmodes matrices. Expressions of Smatrix interface terms are then expressed so as to allow for a significant reduction of the computation cost. The reduction is even further decreased in the case of the B-spline modal method, which deals with sparse matrices. Its convergence is illustrated on a high-density plasmonic structure and compared to a full modal method.

U2 - 10.1364/OL.35.003222

DO - 10.1364/OL.35.003222

M3 - Article

AN - SCOPUS:78149263626

SN - 0146-9592

VL - 35

SP - 3222

EP - 3224

JO - Optics Letters

JF - Optics Letters

IS - 19

ER -

Reduced scattering-matrix algorithm for high-density plasmonic structures

Abstract

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