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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 28, Iss. 9 — Sep. 1, 2011
  • pp: 2265–2270

Efficient numerical method for analyzing photonic crystal slab waveguides

Lijun Yuan and Ya Yan Lu  »View Author Affiliations


JOSA B, Vol. 28, Issue 9, pp. 2265-2270 (2011)
http://dx.doi.org/10.1364/JOSAB.28.002265


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Abstract

Computing the eigenmodes of a photonic crystal (PhC) slab waveguide is computationally expensive, since it leads to eigenvalue problems in three-dimensional domains that are large compared with the wavelength. In this paper, a procedure is developed to reduce the eigenvalue problem for PhC slab waveguides to a nonlinear problem defined on a small surface in the waveguide core. The reduction process is efficiently performed based on the so-called Dirichlet-to-Neumann maps of the unit cells. The nonlinear eigenvalue problem can be efficiently solved by standard root-finding methods, such as the secant method.

© 2011 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(130.5296) Integrated optics : Photonic crystal waveguides
(050.5298) Diffraction and gratings : Photonic crystals

ToC Category:
Numerical Approximation and Analysis

History
Original Manuscript: March 21, 2011
Manuscript Accepted: July 15, 2011
Published: August 30, 2011

Citation
Lijun Yuan and Ya Yan Lu, "Efficient numerical method for analyzing photonic crystal slab waveguides," J. Opt. Soc. Am. B 28, 2265-2270 (2011)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-28-9-2265

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