Open-geometry Fourier modal method: modeling nanophotonic structures in infinite domains

Teppo Häyrynen, Jakob Rosenkrantz de Lasson, Niels Gregersen

Research output: Contribution to journalJournal articleResearchpeer-review

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Abstract

We present an open-geometry Fourier modal method based on a new combination of open boundary conditions and an efficient k-space discretization. The open boundary of the computational domain is obtained using basis functions that expand the whole space, and the integrals subsequently appearing due to the continuous nature of the radiation modes are handled using a discretization based on nonuniform sampling of the k space. We apply the method to a variety of photonic structures and demonstrate that our method leads to significantly improved convergence with respect to the number of degrees of freedom, which may pave the way for more accurate and efficient modeling of open nanophotonic structures.
Original languageEnglish
JournalJournal of the Optical Society of America A
Volume33
Issue number7
Pages (from-to)1298-1306
ISSN0740-3232
DOIs
Publication statusPublished - 2016

Cite this

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title = "Open-geometry Fourier modal method: modeling nanophotonic structures in infinite domains",
abstract = "We present an open-geometry Fourier modal method based on a new combination of open boundary conditions and an efficient k-space discretization. The open boundary of the computational domain is obtained using basis functions that expand the whole space, and the integrals subsequently appearing due to the continuous nature of the radiation modes are handled using a discretization based on nonuniform sampling of the k space. We apply the method to a variety of photonic structures and demonstrate that our method leads to significantly improved convergence with respect to the number of degrees of freedom, which may pave the way for more accurate and efficient modeling of open nanophotonic structures.",
author = "Teppo H{\"a}yrynen and {de Lasson}, {Jakob Rosenkrantz} and Niels Gregersen",
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Open-geometry Fourier modal method: modeling nanophotonic structures in infinite domains. / Häyrynen, Teppo; de Lasson, Jakob Rosenkrantz; Gregersen, Niels.

In: Journal of the Optical Society of America A, Vol. 33, No. 7, 2016, p. 1298-1306.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Open-geometry Fourier modal method: modeling nanophotonic structures in infinite domains

AU - Häyrynen, Teppo

AU - de Lasson, Jakob Rosenkrantz

AU - Gregersen, Niels

PY - 2016

Y1 - 2016

N2 - We present an open-geometry Fourier modal method based on a new combination of open boundary conditions and an efficient k-space discretization. The open boundary of the computational domain is obtained using basis functions that expand the whole space, and the integrals subsequently appearing due to the continuous nature of the radiation modes are handled using a discretization based on nonuniform sampling of the k space. We apply the method to a variety of photonic structures and demonstrate that our method leads to significantly improved convergence with respect to the number of degrees of freedom, which may pave the way for more accurate and efficient modeling of open nanophotonic structures.

AB - We present an open-geometry Fourier modal method based on a new combination of open boundary conditions and an efficient k-space discretization. The open boundary of the computational domain is obtained using basis functions that expand the whole space, and the integrals subsequently appearing due to the continuous nature of the radiation modes are handled using a discretization based on nonuniform sampling of the k space. We apply the method to a variety of photonic structures and demonstrate that our method leads to significantly improved convergence with respect to the number of degrees of freedom, which may pave the way for more accurate and efficient modeling of open nanophotonic structures.

U2 - 10.1364/JOSAA.33.001298

DO - 10.1364/JOSAA.33.001298

M3 - Journal article

VL - 33

SP - 1298

EP - 1306

JO - Journal of the Optical Society of America A

JF - Journal of the Optical Society of America A

SN - 0740-3232

IS - 7

ER -