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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 22 — Oct. 29, 2007
  • pp: 14431–14453

Efficient and spurious-free integral-equation-based optical waveguide mode solver

Amit Hochman and Yehuda Leviatan  »View Author Affiliations


Optics Express, Vol. 15, Issue 22, pp. 14431-14453 (2007)
http://dx.doi.org/10.1364/OE.15.014431


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Abstract

Modal analysis of waveguides and resonators by integral-equation formulations can be hindered by the existence of spurious solutions. In this paper, spurious solutions are shown to be eliminated by introduction of a Rayleigh-quotient based matrix singularity measure. Once the spurious solutions are eliminated, the true modes may be determined efficiently and reliably, even in the presence of degeneracy, by an adaptive search algorithm. Analysis examples that demonstrate the efficacy of the method include an elliptical dielectric waveguide, two unequal touching dielectric cylinders, a plasmonic waveguide, and a realistic micro-structured optical fiber. A freely downloadable version of an optical waveguide mode solver based on this article is available.

© 2007 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(060.0060) Fiber optics and optical communications : Fiber optics and optical communications
(230.3990) Optical devices : Micro-optical devices
(230.5750) Optical devices : Resonators
(230.7370) Optical devices : Waveguides
(240.6680) Optics at surfaces : Surface plasmons

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: June 25, 2007
Revised Manuscript: August 26, 2007
Manuscript Accepted: August 26, 2007
Published: October 18, 2007

Citation
Amit Hochman and Yehuda Leviatan, "Efficient and spurious-free integral-equation-based optical waveguide mode solver," Opt. Express 15, 14431-14453 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-22-14431


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