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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. 8, Iss. 5 — May. 1, 1991
  • pp: 724–731

Comparison of finite-difference and Fourier-transform solutions of the parabolic wave equation with emphasis on integrated-optics applications

R. Scarmozzino and R. M. Osgood, Jr.  »View Author Affiliations


JOSA A, Vol. 8, Issue 5, pp. 724-731 (1991)
http://dx.doi.org/10.1364/JOSAA.8.000724


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Abstract

The solution of the scalar wave equation in the parabolic approximation is considered through the finite-difference and the Fourier-transform (i.e., beam propagation method) techniques. Examples are taken from the field of integrated optics and include propagation in straight, tapered, Y-branched, and coupled waveguides. A comparison of numerical results obtained by the two methods is presented, and a comparison with other analytical or numerical methods is also given. In the numerous cases studied it is shown that the finite-difference method yields a large, order-of-magnitude range improvement in accuracy or computational speed when compared with the Fourier-transform method.

© 1991 Optical Society of America

History
Original Manuscript: April 23, 1990
Manuscript Accepted: December 19, 1990
Published: May 1, 1991

Citation
R. Scarmozzino and R. M. Osgood, "Comparison of finite-difference and Fourier-transform solutions of the parabolic wave equation with emphasis on integrated-optics applications," J. Opt. Soc. Am. A 8, 724-731 (1991)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-8-5-724


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