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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 18, Iss. 4 — Apr. 1, 2001
  • pp: 966–974

Improved scalar analysis of integrated optical structures by the mapped Galerkin method and Arnoldi iteration

Michele A. Forastiere and Giancarlo C. Righini  »View Author Affiliations

JOSA A, Vol. 18, Issue 4, pp. 966-974 (2001)

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A modified Galerkin method is used to study the modal behavior of generic integrated optical waveguides down to first-order mode cutoff. The scalar Helmholtz equation is solved through nonlinear mapping of the transverse plane and subsequent Fourier decomposition. The differential equation is thus transformed into the eigenproblem for a specific finite-dimension linear operator. The largest eigenvalues, corresponding to the lowest-order guided modes, are in turn determined by an iterative Arnoldi procedure. Therefore actual diagonalization of a huge coefficient matrix is avoided, and a very large number of field frequency components can be considered.

© 2001 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(230.7380) Optical devices : Waveguides, channeled
(350.5500) Other areas of optics : Propagation

Original Manuscript: July 3, 2000
Revised Manuscript: October 30, 2000
Manuscript Accepted: November 2, 2000
Published: April 1, 2001

Michele A. Forastiere and Giancarlo C. Righini, "Improved scalar analysis of integrated optical structures by the mapped Galerkin method and Arnoldi iteration," J. Opt. Soc. Am. A 18, 966-974 (2001)

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