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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. 18, Iss. 5 — May. 1, 2001
  • pp: 1146–1159

Using rays better. II. Ray families to match prescribed wave fields

M. A. Alonso and G. W. Forbes  »View Author Affiliations


JOSA A, Vol. 18, Issue 5, pp. 1146-1159 (2001)
http://dx.doi.org/10.1364/JOSAA.18.001146


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Abstract

A key step in any ray-based method for propagating waves is the choice of a family of rays to be associated with the initial wave field. We develop some basic prescriptions for constructing initial ray families to match two particular types of waves. Various Gaussian and Bessel beams are separately given special treatment because of their general interest. These ideas are directly useful for a newly developed method for ray-based wave modeling. The new method expresses the wave as a superposition of ray contributions that is independent of the width of the field element associated with each ray. This insensitivity is investigated here even when the elemental width varies from ray to ray. The results increase the applicability of the new wave-modeling scheme.

© 2001 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(080.2710) Geometric optics : Inhomogeneous optical media
(080.2720) Geometric optics : Mathematical methods (general)
(350.7420) Other areas of optics : Waves

History
Original Manuscript: September 13, 2000
Revised Manuscript: December 14, 2000
Manuscript Accepted: December 14, 2000
Published: May 1, 2001

Citation
M. A. Alonso and G. W. Forbes, "Using rays better. II. Ray families to match prescribed wave fields," J. Opt. Soc. Am. A 18, 1146-1159 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-5-1146

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