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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. 24, Iss. 4 — Apr. 1, 2007
  • pp: 1211–1213

High-aperture beams: reply to comment

Colin J. R. Sheppard  »View Author Affiliations


JOSA A, Vol. 24, Issue 4, pp. 1211-1213 (2007)
http://dx.doi.org/10.1364/JOSAA.24.001211


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Abstract

Seshadri’s claim [ J. Opt. Soc. A 23, 3238 (2006) ] that the singularity in the simple complex-source point model is not nonphysical is disputed. The branch cut behavior is further discussed. Two different forms for the complex-source point model for a Gaussian beam are identified, corresponding to different choices for the sign of a square root or in terms of oblate spheroidal coordinates to two different branch cuts. One of these solutions corresponds to a beamlike solution, while the second gives a wave that radiates outward from the source. Both exhibit nonphysical singularities. These singularities are avoided by using a complex-source/sink model. The choice of branch cut is also important in defining the oblate spheroidal beams, based on spheroidal harmonics.

© 2007 Optical Society of America

OCIS Codes
(010.0010) Atmospheric and oceanic optics : Atmospheric and oceanic optics
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Communications

History
Original Manuscript: December 13, 2006
Manuscript Accepted: December 19, 2006
Published: March 14, 2007

Citation
Colin J. R. Sheppard, "High-aperture beams: reply to comment," J. Opt. Soc. Am. A 24, 1211-1213 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-4-1211

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