Modeling Two-dimensional Anisotropic Photonic Crystals by Dirichlet-to-Neumann Maps

Huan Xie; Ya Yan Lu

doi:10.1364/IPNRA.2009.ITuD5

Modeling Two-dimensional Anisotropic Photonic Crystals by Dirichlet-to-Neumann Maps

^*Corresponding author for this work

Department of Mathematics

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

Abstract

For two-dimensional photonic crystals involving anisotropic media and circular cylinders, we derive analytic solutions in the unit cells and use them to construct the Dirichlet-to-Neumann (DtN) maps. For triangular lattices, we also develop new eigenvalue problem formulations for band structure analysis that produce smaller matrices.

Original language	English
Title of host publication	Advances in Optical Sciences Congress
Publisher	Optical Society of America (OSA)
ISBN (Print)	9781557528735
DOIs	https://doi.org/10.1364/IPNRA.2009.ITuD5
Publication status	Published - Jul 2009
Event	Integrated Photonics and Nanophotonics Research and Applications (IPNRA 2009) - Honolulu, United States Duration: 12 Jul 2009 → 17 Jul 2009 https://www.osapublishing.org/conference.cfm?meetingid=65&yr=2009

Publication series

Name	Optics InfoBase Conference Papers
Publisher	Optical Society of America (OSA)
ISSN (Electronic)	2162-2701

Conference

Conference	Integrated Photonics and Nanophotonics Research and Applications (IPNRA 2009)
Place	United States
City	Honolulu
Period	12/07/09 → 17/07/09
Internet address	https://www.osapublishing.org/conference.cfm?meetingid=65&yr=2009

Research Keywords

photonic crystals
numerical approximation and analysis

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10.1364/IPNRA.2009.ITuD5

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@inproceedings{74913bf4b33a46ce9fced1a95f08b9dc,

title = "Modeling Two-dimensional Anisotropic Photonic Crystals by Dirichlet-to-Neumann Maps",

abstract = "For two-dimensional photonic crystals involving anisotropic media and circular cylinders, we derive analytic solutions in the unit cells and use them to construct the Dirichlet-to-Neumann (DtN) maps. For triangular lattices, we also develop new eigenvalue problem formulations for band structure analysis that produce smaller matrices.",

keywords = "photonic crystals, numerical approximation and analysis",

author = "Huan Xie and Lu, {Ya Yan}",

year = "2009",

month = jul,

doi = "10.1364/IPNRA.2009.ITuD5",

language = "English",

isbn = "9781557528735",

series = "Optics InfoBase Conference Papers",

publisher = "Optical Society of America (OSA)",

booktitle = "Advances in Optical Sciences Congress",

note = "Integrated Photonics and Nanophotonics Research and Applications (IPNRA 2009) ; Conference date: 12-07-2009 Through 17-07-2009",

url = "https://www.osapublishing.org/conference.cfm?meetingid=65&yr=2009",

}

Xie, H & Lu, YY 2009, Modeling Two-dimensional Anisotropic Photonic Crystals by Dirichlet-to-Neumann Maps. in Advances in Optical Sciences Congress., ITuD5, Optics InfoBase Conference Papers, Optical Society of America (OSA), Integrated Photonics and Nanophotonics Research and Applications (IPNRA 2009), Honolulu, Hawaii, United States, 12/07/09. https://doi.org/10.1364/IPNRA.2009.ITuD5

Modeling Two-dimensional Anisotropic Photonic Crystals by Dirichlet-to-Neumann Maps. / Xie, Huan; Lu, Ya Yan.
Advances in Optical Sciences Congress. Optical Society of America (OSA), 2009. ITuD5 (Optics InfoBase Conference Papers).

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - Modeling Two-dimensional Anisotropic Photonic Crystals by Dirichlet-to-Neumann Maps

AU - Xie, Huan

AU - Lu, Ya Yan

PY - 2009/7

Y1 - 2009/7

N2 - For two-dimensional photonic crystals involving anisotropic media and circular cylinders, we derive analytic solutions in the unit cells and use them to construct the Dirichlet-to-Neumann (DtN) maps. For triangular lattices, we also develop new eigenvalue problem formulations for band structure analysis that produce smaller matrices.

AB - For two-dimensional photonic crystals involving anisotropic media and circular cylinders, we derive analytic solutions in the unit cells and use them to construct the Dirichlet-to-Neumann (DtN) maps. For triangular lattices, we also develop new eigenvalue problem formulations for band structure analysis that produce smaller matrices.

KW - photonic crystals

KW - numerical approximation and analysis

UR - http://www.scopus.com/inward/record.url?scp=84898069833&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84898069833&origin=recordpage

U2 - 10.1364/IPNRA.2009.ITuD5

DO - 10.1364/IPNRA.2009.ITuD5

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 9781557528735

T3 - Optics InfoBase Conference Papers

BT - Advances in Optical Sciences Congress

PB - Optical Society of America (OSA)

T2 - Integrated Photonics and Nanophotonics Research and Applications (IPNRA 2009)

Y2 - 12 July 2009 through 17 July 2009

ER -

Modeling Two-dimensional Anisotropic Photonic Crystals by Dirichlet-to-Neumann Maps

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