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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 1 — Jan. 1, 1998
  • pp: 92–100

Modal analysis of homogeneous optical waveguides by the boundary integral formulation and the Nyström method

Lei Wang, J. Allen Cox, and Avner Friedman  »View Author Affiliations


JOSA A, Vol. 15, Issue 1, pp. 92-100 (1998)
http://dx.doi.org/10.1364/JOSAA.15.000092


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Abstract

The optical field in a weakly guiding homogeneous waveguide satisfies scalar Helmholtz equations in both the core and the cladding and the transmission conditions on the boundary. Two different systems of boundary integral equations are derived for numerical solutions of the discrete propagation constants of the optical field; one of them is in the form of Fredholm integral equations of the second kind, and the other is a mixed first and second kind. The Nyström method is used to solve the boundary integral equations numerically. The numerical results show that the two boundary integral formulations are both very efficient in the numerical simulations of homogeneous waveguides but that the second kind is superior because it controls spurious modes better.

© 1998 Optical Society of America

OCIS Codes
(230.7370) Optical devices : Waveguides

History
Original Manuscript: January 30, 1997
Revised Manuscript: August 1, 1997
Manuscript Accepted: September 4, 1997
Published: January 1, 1998

Citation
Lei Wang, J. Allen Cox, and Avner Friedman, "Modal analysis of homogeneous optical waveguides by the boundary integral formulation and the Nyström method," J. Opt. Soc. Am. A 15, 92-100 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-1-92

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