Calculation, normalization and perturbation of quasinormal modes in coupled cavity-waveguide systems

Philip Trøst Kristensen; Jakob Rosenkrantz de Lasson; Niels Gregersen

doi:10.1364/OL.39.006359

Calculation, normalization and perturbation of quasinormal modes in coupled cavity-waveguide systems

Philip Trøst Kristensen, Jakob Rosenkrantz de Lasson, Niels Gregersen

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Abstract

We show how one can use a non-local boundary condition, which is compatible with standard frequency domain methods, for numerical calculation of quasinormal modes in optical cavities coupled to waveguides. In addition, we extend the definition of the quasinormal mode norm by use of the theory of divergent series to provide a framework for modeling of optical phenomena in such coupled cavity-waveguide systems. As an example, we apply the framework to study perturbative changes in the resonance frequency and Q value of a photonic crystal cavity coupled to a defect waveguide.

Original language	English
Journal	Optics Letters
Volume	39
Issue number	22
Pages (from-to)	6359-6362
ISSN	0146-9592
DOIs	https://doi.org/10.1364/OL.39.006359
Publication status	Published - 2014

Bibliographical note

This paper was published in Optics Letters and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/ol/abstract.cfm?uri=ol-39-22-6359. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.

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title = "Calculation, normalization and perturbation of quasinormal modes in coupled cavity-waveguide systems",

abstract = "We show how one can use a non-local boundary condition, which is compatible with standard frequency domain methods, for numerical calculation of quasinormal modes in optical cavities coupled to waveguides. In addition, we extend the definition of the quasinormal mode norm by use of the theory of divergent series to provide a framework for modeling of optical phenomena in such coupled cavity-waveguide systems. As an example, we apply the framework to study perturbative changes in the resonance frequency and Q value of a photonic crystal cavity coupled to a defect waveguide.",

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AU - Kristensen, Philip Trøst

AU - de Lasson, Jakob Rosenkrantz

AU - Gregersen, Niels

N1 - This paper was published in Optics Letters and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/ol/abstract.cfm?uri=ol-39-22-6359. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.

PY - 2014

Y1 - 2014

N2 - We show how one can use a non-local boundary condition, which is compatible with standard frequency domain methods, for numerical calculation of quasinormal modes in optical cavities coupled to waveguides. In addition, we extend the definition of the quasinormal mode norm by use of the theory of divergent series to provide a framework for modeling of optical phenomena in such coupled cavity-waveguide systems. As an example, we apply the framework to study perturbative changes in the resonance frequency and Q value of a photonic crystal cavity coupled to a defect waveguide.

AB - We show how one can use a non-local boundary condition, which is compatible with standard frequency domain methods, for numerical calculation of quasinormal modes in optical cavities coupled to waveguides. In addition, we extend the definition of the quasinormal mode norm by use of the theory of divergent series to provide a framework for modeling of optical phenomena in such coupled cavity-waveguide systems. As an example, we apply the framework to study perturbative changes in the resonance frequency and Q value of a photonic crystal cavity coupled to a defect waveguide.

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DO - 10.1364/OL.39.006359

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EP - 6362

JO - Optics Letters

JF - Optics Letters

IS - 22

ER -

Calculation, normalization and perturbation of quasinormal modes in coupled cavity-waveguide systems

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