Variational Effective Index Method for 3D Vectorial Scattering Problems in Photonics: TE Polarization

Alyona Ivanova; Remco Stoffer; L.J. Kauppinen; Manfred Hammer

Variational Effective Index Method for 3D Vectorial Scattering Problems in Photonics: TE Polarization

Alyona Ivanova, Remco Stoffer, L.J. Kauppinen, Manfred Hammer

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

In order to reduce the computational effort we develop a method for 3D-to-2D dimensionality reduction of scattering problems in photonics. Contrary to the `standard' Effective Index Method the effective parameters of the reduced problem are always rigorously defined using the variational technique, based on the vectorial 3D Maxwell equations. Results for a photonic crystal slab waveguide show that this approach predicts the location of the bandgap and other spectral features much more precisely than any `standard' EIM approximation.

Original language	Undefined
Title of host publication	PIERS 2009 Moscow Proceedings
Publisher	The Electromagnetics Academy
Pages	1038-1042
Number of pages	5
ISBN (Print)	978-1-934142-10-3
Publication status	Published - 2009
Event	26th Progress In Electromagnetics Research Symposium, PIERS 2009 - Moscow, Russian Federation Duration: 18 Aug 2009 → 21 Aug 2009 Conference number: 26

Publication series

Name
Publisher	The Electromagnetics Academy

Conference

Conference	26th Progress In Electromagnetics Research Symposium, PIERS 2009
Abbreviated title	PIERS 2009
Country/Territory	Russian Federation
City	Moscow
Period	18/08/09 → 21/08/09

Keywords

METIS-264021
EWI-16053
IR-67593

Access to Document

http://piers.mit.edu/piersproceedings/piers2k9MoscowProc.php?start=200

Cite this

@inproceedings{bd314595413545ad9b7c25fd20e3b16d,

title = "Variational Effective Index Method for 3D Vectorial Scattering Problems in Photonics: TE Polarization",

abstract = "In order to reduce the computational effort we develop a method for 3D-to-2D dimensionality reduction of scattering problems in photonics. Contrary to the `standard' Effective Index Method the effective parameters of the reduced problem are always rigorously defined using the variational technique, based on the vectorial 3D Maxwell equations. Results for a photonic crystal slab waveguide show that this approach predicts the location of the bandgap and other spectral features much more precisely than any `standard' EIM approximation.",

keywords = "METIS-264021, EWI-16053, IR-67593",

author = "Alyona Ivanova and Remco Stoffer and L.J. Kauppinen and Manfred Hammer",

year = "2009",

language = "Undefined",

isbn = "978-1-934142-10-3",

publisher = "The Electromagnetics Academy",

pages = "1038--1042",

booktitle = "PIERS 2009 Moscow Proceedings",

note = "26th Progress In Electromagnetics Research Symposium, PIERS 2009 ; Conference date: 18-08-2009 Through 21-08-2009",

}

Ivanova, A, Stoffer, R, Kauppinen, LJ & Hammer, M 2009, Variational Effective Index Method for 3D Vectorial Scattering Problems in Photonics: TE Polarization. in PIERS 2009 Moscow Proceedings. The Electromagnetics Academy, pp. 1038-1042, 26th Progress In Electromagnetics Research Symposium, PIERS 2009, Moscow, Russian Federation, 18/08/09. <http://piers.mit.edu/piersproceedings/piers2k9MoscowProc.php?start=200>

TY - GEN

T1 - Variational Effective Index Method for 3D Vectorial Scattering Problems in Photonics: TE Polarization

AU - Ivanova, Alyona

AU - Stoffer, Remco

AU - Kauppinen, L.J.

AU - Hammer, Manfred

N1 - Conference code: 26

PY - 2009

Y1 - 2009

N2 - In order to reduce the computational effort we develop a method for 3D-to-2D dimensionality reduction of scattering problems in photonics. Contrary to the `standard' Effective Index Method the effective parameters of the reduced problem are always rigorously defined using the variational technique, based on the vectorial 3D Maxwell equations. Results for a photonic crystal slab waveguide show that this approach predicts the location of the bandgap and other spectral features much more precisely than any `standard' EIM approximation.

AB - In order to reduce the computational effort we develop a method for 3D-to-2D dimensionality reduction of scattering problems in photonics. Contrary to the `standard' Effective Index Method the effective parameters of the reduced problem are always rigorously defined using the variational technique, based on the vectorial 3D Maxwell equations. Results for a photonic crystal slab waveguide show that this approach predicts the location of the bandgap and other spectral features much more precisely than any `standard' EIM approximation.

KW - METIS-264021

KW - EWI-16053

KW - IR-67593

M3 - Conference contribution

SN - 978-1-934142-10-3

SP - 1038

EP - 1042

BT - PIERS 2009 Moscow Proceedings

PB - The Electromagnetics Academy

T2 - 26th Progress In Electromagnetics Research Symposium, PIERS 2009

Y2 - 18 August 2009 through 21 August 2009

ER -