OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • 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)
http://dx.doi.org/10.1364/JOSAA.18.000966


View Full Text Article

Enhanced HTML    Acrobat PDF (225 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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

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

Citation
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)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-4-966

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited