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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 2 — Jan. 17, 2011
  • pp: 1594–1608

A high-accuracy pseudospectral full-vectorial leaky optical waveguide mode solver with carefully implemented UPML absorbing boundary conditions

Po-jui Chiang and Hung-chun Chang  »View Author Affiliations


Optics Express, Vol. 19, Issue 2, pp. 1594-1608 (2011)
http://dx.doi.org/10.1364/OE.19.001594


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Abstract

The previously developed full-vectorial optical waveguide eigenmode solvers using pseudospectral frequency-domain (PSFD) formulations for optical waveguides with arbitrary step-index profile is further implemented with the uniaxial perfectly matched layer (UPML) absorption boundary conditions for treating leaky waveguides and calculating their complex modal effective indices. The role of the UPML reflection coefficient in achieving high-accuracy mode solution results is particularly investigated. A six-air-hole microstructured fiber is analyzed as an example to compare with published high-accuracy multipole method results for both the real and imaginary parts of the effective indices. It is shown that by setting the UPML reflection coefficient values as small as on the order of 10−40 ∼ 10−70, relative errors in the calculated complex effective indices can be as small as on the order of 10−12.

© 2011 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(230.7370) Optical devices : Waveguides
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(060.4005) Fiber optics and optical communications : Microstructured fibers

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: November 16, 2010
Revised Manuscript: January 7, 2011
Manuscript Accepted: January 9, 2011
Published: January 13, 2011

Citation
Po-jui Chiang and Hung-chun Chang, "A high-accuracy pseudospectral full-vectorial leaky optical waveguide mode solver with carefully implemented UPML absorbing boundary conditions," Opt. Express 19, 1594-1608 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-2-1594


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