A method for computing guided waves in integrated optics. Part I: Mathematical analysis

Dolores Gómez Pedreira; Patrick Joly

doi:10.1137/S0036142900368277

A method for computing guided waves in integrated optics. Part I: Mathematical analysis

Dolores Gómez Pedreira, Patrick Joly

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

Abstract

Electromagnetic waveguides in integrated optics are propagation structures which are invariant under translation in one space direction and whose cross section is a local perturbation of a stratified medium. In this paper, we propose a new method for computing the guided modes of such devices under the weak guiding assumption. The method results from a combination of analytical techniques which take into account the unbounded and stratified character of the propagation medium so that numerical computations can be reduced to a neighborhood of the perturbation.

Original language	English
Pages (from-to)	596-623
Number of pages	28
Journal	SIAM Journal on Numerical Analysis
Volume	39
Issue number	2
DOIs	https://doi.org/10.1137/S0036142900368277
Publication status	Published - 1 Dec 2002
Externally published	Yes

Keywords

Eigenvalue problems
Integrated optics
Spectral theory
Transparent boundary conditions

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10.1137/S0036142900368277

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abstract = "Electromagnetic waveguides in integrated optics are propagation structures which are invariant under translation in one space direction and whose cross section is a local perturbation of a stratified medium. In this paper, we propose a new method for computing the guided modes of such devices under the weak guiding assumption. The method results from a combination of analytical techniques which take into account the unbounded and stratified character of the propagation medium so that numerical computations can be reduced to a neighborhood of the perturbation.",

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N2 - Electromagnetic waveguides in integrated optics are propagation structures which are invariant under translation in one space direction and whose cross section is a local perturbation of a stratified medium. In this paper, we propose a new method for computing the guided modes of such devices under the weak guiding assumption. The method results from a combination of analytical techniques which take into account the unbounded and stratified character of the propagation medium so that numerical computations can be reduced to a neighborhood of the perturbation.

AB - Electromagnetic waveguides in integrated optics are propagation structures which are invariant under translation in one space direction and whose cross section is a local perturbation of a stratified medium. In this paper, we propose a new method for computing the guided modes of such devices under the weak guiding assumption. The method results from a combination of analytical techniques which take into account the unbounded and stratified character of the propagation medium so that numerical computations can be reduced to a neighborhood of the perturbation.

KW - Eigenvalue problems

KW - Integrated optics

KW - Spectral theory

KW - Transparent boundary conditions

U2 - 10.1137/S0036142900368277

DO - 10.1137/S0036142900368277

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JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

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A method for computing guided waves in integrated optics. Part I: Mathematical analysis

Abstract

Keywords

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