OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 27, Iss. 12 — Dec. 1, 2010
  • pp: 2568–2579

Dirichlet-to-Neumann map method for analyzing hole arrays in a slab

Lijun Yuan and Ya Yan Lu  »View Author Affiliations


JOSA B, Vol. 27, Issue 12, pp. 2568-2579 (2010)
http://dx.doi.org/10.1364/JOSAB.27.002568


View Full Text Article

Enhanced HTML    Acrobat PDF (416 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A rigorous and efficient computational method is developed to calculate transmission and reflection spectra for a finite number of air-hole arrays in a slab, where the incident waves are propagating modes of the slab. The method is a three-dimensional extension of the Dirichlet-to-Neumann (DtN) map method previously developed for ideal two-dimensional photonic crystals which are infinite and invariant in one spatial direction. The method relies on the DtN maps of the unit cells to avoid repeated calculations in identical unit cells. The DtN map of a unit cell is constructed using eigenmode expansions in the vertical direction (perpendicular to the slab) and cylindrical wave expansions in the horizontal directions.

© 2010 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.5298) Diffraction and gratings : Photonic crystals

ToC Category:
Numerical Approximation and Analysis

History
Original Manuscript: July 19, 2010
Manuscript Accepted: October 5, 2010
Published: November 10, 2010

Citation
Lijun Yuan and Ya Yan Lu, "Dirichlet-to-Neumann map method for analyzing hole arrays in a slab," J. Opt. Soc. Am. B 27, 2568-2579 (2010)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-27-12-2568

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited