On effective index approximations of photonic crystal slabs

Manfred Hammer; Alyona Ivanova

On effective index approximations of photonic crystal slabs

Manfred Hammer
, Alyona Ivanova

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

59 Citations (Scopus)

138 Downloads (Pure)

Abstract

To assess the quality of effective index approximations for photonic crystal slabs, we consider a reduction of 2-D problems for waveguide Bragg gratings to 1-D, and compare with rigorous 2-D solutions. A variational procedure permits to establish reasonable effective indices even if locally no guided modes exist.

Original language	Undefined
Title of host publication	The XVIII th International Workshop on Optical Waveguide Theory and Numerical Modelling
Place of Publication	Jena
Publisher	Fraunhofer Institute for Applied Optics and Precision Engineering
Pages	7
Number of pages	1
ISBN (Print)	978-3-00-027521-0
Publication status	Published - 17 Apr 2009
Event	18th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2009 - Jena, Germany Duration: 17 Apr 2009 → 18 Apr 2009 Conference number: 18 https://www.owtnm-workshop.org/

Publication series

Name	Photonic Crystals
Publisher	Fraunhofer Institute for Applied Optics and Precision Engineering
Volume	Session 2 - Paper 2

Conference

Conference	18th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2009
Abbreviated title	OWTNM
Country/Territory	Germany
City	Jena
Period	17/04/09 → 18/04/09
Internet address	https://www.owtnm-workshop.org/

Keywords

METIS-266528
EWI-17848
IR-71245

Access to Document

http://www.asp.uni-jena.de/physik_international_multimedia/OWTNM2009/OWTNM09_BoA_web.pdf

Cite this

Hammer, M., & Ivanova, A. (2009). On effective index approximations of photonic crystal slabs. In The XVIII th International Workshop on Optical Waveguide Theory and Numerical Modelling (pp. 7). (Photonic Crystals; Vol. Session 2 - Paper 2). Fraunhofer Institute for Applied Optics and Precision Engineering. http://www.asp.uni-jena.de/physik_international_multimedia/OWTNM2009/OWTNM09_BoA_web.pdf

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title = "On effective index approximations of photonic crystal slabs",

abstract = "To assess the quality of effective index approximations for photonic crystal slabs, we consider a reduction of 2-D problems for waveguide Bragg gratings to 1-D, and compare with rigorous 2-D solutions. A variational procedure permits to establish reasonable effective indices even if locally no guided modes exist.",

keywords = "METIS-266528, EWI-17848, IR-71245",

author = "Manfred Hammer and Alyona Ivanova",

year = "2009",

month = apr,

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isbn = "978-3-00-027521-0",

series = "Photonic Crystals",

publisher = "Fraunhofer Institute for Applied Optics and Precision Engineering",

pages = "7",

booktitle = "The XVIII th International Workshop on Optical Waveguide Theory and Numerical Modelling",

note = "18th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2009 ; Conference date: 17-04-2009 Through 18-04-2009",

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Hammer, M & Ivanova, A 2009, On effective index approximations of photonic crystal slabs. in The XVIII th International Workshop on Optical Waveguide Theory and Numerical Modelling. Photonic Crystals, vol. Session 2 - Paper 2, Fraunhofer Institute for Applied Optics and Precision Engineering, Jena, pp. 7, 18th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2009, Jena, Germany, 17/04/09. <http://www.asp.uni-jena.de/physik_international_multimedia/OWTNM2009/OWTNM09_BoA_web.pdf>

On effective index approximations of photonic crystal slabs. / Hammer, Manfred; Ivanova, Alyona.
The XVIII th International Workshop on Optical Waveguide Theory and Numerical Modelling. Jena: Fraunhofer Institute for Applied Optics and Precision Engineering, 2009. p. 7 (Photonic Crystals; Vol. Session 2 - Paper 2).

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

TY - GEN

T1 - On effective index approximations of photonic crystal slabs

AU - Hammer, Manfred

AU - Ivanova, Alyona

N1 - Conference code: 18

PY - 2009/4/17

Y1 - 2009/4/17

N2 - To assess the quality of effective index approximations for photonic crystal slabs, we consider a reduction of 2-D problems for waveguide Bragg gratings to 1-D, and compare with rigorous 2-D solutions. A variational procedure permits to establish reasonable effective indices even if locally no guided modes exist.

AB - To assess the quality of effective index approximations for photonic crystal slabs, we consider a reduction of 2-D problems for waveguide Bragg gratings to 1-D, and compare with rigorous 2-D solutions. A variational procedure permits to establish reasonable effective indices even if locally no guided modes exist.

KW - METIS-266528

KW - EWI-17848

KW - IR-71245

M3 - Conference contribution

SN - 978-3-00-027521-0

T3 - Photonic Crystals

SP - 7

BT - The XVIII th International Workshop on Optical Waveguide Theory and Numerical Modelling

PB - Fraunhofer Institute for Applied Optics and Precision Engineering

CY - Jena

T2 - 18th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2009

Y2 - 17 April 2009 through 18 April 2009

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