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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. 13, Iss. 8 — Aug. 1, 1996
  • pp: 1763–1765

Eikonal theory and computer algebra II

A. Walther  »View Author Affiliations


JOSA A, Vol. 13, Issue 8, pp. 1763-1765 (1996)
http://dx.doi.org/10.1364/JOSAA.13.001763


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Abstract

The computer routine used in a previous paper [ J. Opt. Soc. Am. A 13, 523 ( 1996)] for the concatenation of eikonals is quite slow in certain demanding cases. This problem can be overcome by using the order doubling technique developed for this purpose by Forbes [ J. Opt. Soc. Am. 72, 1097 ( 1982); J. Opt. Soc. Am. 73, 782 ( 1983)] and Forbes and Andrews [ J. Opt. Soc. Am. 73, 776 ( 1983)] more than a dozen years ago. Numerical experiments show that this technique speeds up the calculations by two orders of magnitude or more.

© 1996 Optical Society of America

History
Original Manuscript: November 20, 1995
Manuscript Accepted: February 7, 1996
Published: August 1, 1996

Citation
A. Walther, "Eikonal theory and computer algebra II," J. Opt. Soc. Am. A 13, 1763-1765 (1996)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-13-8-1763

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