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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

  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 1 — Jan. 1, 2008
  • pp: 138–145

Wide-angle, finite-difference beam propagation in oblique coordinate system

Sławomir Sujecki  »View Author Affiliations


JOSA A, Vol. 25, Issue 1, pp. 138-145 (2008)
http://dx.doi.org/10.1364/JOSAA.25.000138


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Abstract

The one-way wave equation in the oblique coordinate system in terms of the square root operator is derived. This equation forms the basis for the development of efficient algorithms using the beam propagation method for the design and optimization of integrated optical devices. In an illustrative example, using the derived one-way wave equation, Anada’s very-wide-angle algorithm is generalized to the oblique coordinate system. Since in the oblique coordinate system the direction of propagation can be selected freely to follow the path of the optical beam and to minimize the stair-casing errors, the algorithm is expected to show superior performance, which is confirmed by the results obtained.

© 2008 Optical Society of America

OCIS Codes
(130.0130) Integrated optics : Integrated optics
(130.2790) Integrated optics : Guided waves

ToC Category:
Integrated Optics

History
Original Manuscript: August 23, 2007
Revised Manuscript: October 15, 2007
Manuscript Accepted: October 26, 2007
Published: December 14, 2007

Citation
Sławomir Sujecki, "Wide-angle, finite-difference beam propagation in oblique coordinate system," J. Opt. Soc. Am. A 25, 138-145 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-1-138

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