On effective index approximations of photonic crystal slabs

Manfred Hammer, Alyona Ivanova

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

22 Citations (Scopus)
13 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 languageUndefined
Title of host publicationThe XVIII th International Workshop on Optical Waveguide Theory and Numerical Modelling
Place of PublicationJena
PublisherFraunhofer Institute for Applied Optics and Precision Engineering
Pages7
Number of pages1
ISBN (Print)978-3-00-027521-0
Publication statusPublished - 17 Apr 2009
Event18th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2009 - Jena, Germany
Duration: 17 Apr 200918 Apr 2009
Conference number: 18
https://www.owtnm-workshop.org/

Publication series

NamePhotonic Crystals
PublisherFraunhofer Institute for Applied Optics and Precision Engineering
VolumeSession 2 - Paper 2

Conference

Conference18th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2009
Abbreviated titleOWTNM
CountryGermany
CityJena
Period17/04/0918/04/09
Internet address

Keywords

  • METIS-266528
  • EWI-17848
  • IR-71245

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). Jena: Fraunhofer Institute for Applied Optics and Precision Engineering.
Hammer, Manfred ; Ivanova, Alyona. / On effective index approximations of photonic crystal slabs. The XVIII th International Workshop on Optical Waveguide Theory and Numerical Modelling. Jena : Fraunhofer Institute for Applied Optics and Precision Engineering, 2009. pp. 7 (Photonic Crystals).
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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.",
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author = "Manfred Hammer and Alyona Ivanova",
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isbn = "978-3-00-027521-0",
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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.

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 proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - On effective index approximations of photonic crystal slabs

AU - Hammer, Manfred

AU - Ivanova, Alyona

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

ER -

Hammer M, Ivanova A. On effective index approximations of photonic crystal slabs. In 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).