Variational characterization of resonant states in some integrated optical devices

Embrecht W.C. van Groesen

Variational characterization of resonant states in some integrated optical devices

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Abstract

Two examples from integrated optics are described that motivate the use of explicit variational characterizations for physical parameters that are relevant for the functioning of optical devices. For 1D optical gratings the boundary of the bandgaps, and for 2D square micro-resonators the resonant frequency, are fromulated as eigenvalues of the governing Helmholtz equation. This requires to define the set on which the corresponding functional is optimised in an appropriate way, depending on the application

Original language	English
Title of host publication	Industrial Mathematics
Editors	Mohan C. Joshi, Amiya Kumar Pani, Sanjeev V. Sanjeev
Place of Publication	New Delhi
Publisher	Narosa Publishing House
Pages	195-204
Number of pages	10
ISBN (Print)	81-7319-577-3
Publication status	Published - 2006

Keywords

EWI-8875
IR-55106
METIS-230171

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Groesen06variational
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Final published version, 2.66 MB

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title = "Variational characterization of resonant states in some integrated optical devices",

abstract = "Two examples from integrated optics are described that motivate the use of explicit variational characterizations for physical parameters that are relevant for the functioning of optical devices. For 1D optical gratings the boundary of the bandgaps, and for 2D square micro-resonators the resonant frequency, are fromulated as eigenvalues of the governing Helmholtz equation. This requires to define the set on which the corresponding functional is optimised in an appropriate way, depending on the application",

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AU - van Groesen, Embrecht W.C.

PY - 2006

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N2 - Two examples from integrated optics are described that motivate the use of explicit variational characterizations for physical parameters that are relevant for the functioning of optical devices. For 1D optical gratings the boundary of the bandgaps, and for 2D square micro-resonators the resonant frequency, are fromulated as eigenvalues of the governing Helmholtz equation. This requires to define the set on which the corresponding functional is optimised in an appropriate way, depending on the application

AB - Two examples from integrated optics are described that motivate the use of explicit variational characterizations for physical parameters that are relevant for the functioning of optical devices. For 1D optical gratings the boundary of the bandgaps, and for 2D square micro-resonators the resonant frequency, are fromulated as eigenvalues of the governing Helmholtz equation. This requires to define the set on which the corresponding functional is optimised in an appropriate way, depending on the application

KW - EWI-8875

KW - IR-55106

KW - METIS-230171

M3 - Conference contribution

SN - 81-7319-577-3

SP - 195

EP - 204

BT - Industrial Mathematics

A2 - Joshi, Mohan C.

A2 - Pani, Amiya Kumar

A2 - Sanjeev, Sanjeev V.

PB - Narosa Publishing House

CY - New Delhi

ER -