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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 27 — Sep. 20, 2000
  • pp: 4918–4925

Analytical far-field divergence angle of a truncated Gaussian beam

Emmanuel M. Drège, Neal G. Skinner, and Dale M. Byrne  »View Author Affiliations


Applied Optics, Vol. 39, Issue 27, pp. 4918-4925 (2000)
http://dx.doi.org/10.1364/AO.39.004918


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Abstract

Approximate, but accurate, analytical expressions for the far-field divergence angle of a Gaussian beam normally incident on a circular aperture are derived. A first equation is obtained based on the concept of Gaussian transform, in which the Bessel function present in the far-field diffraction integral is approximated by a Gaussian function. Refining this approach yields another simple, practical closed-form formula with such a level of accuracy that we propose that it can be used as an exact reference. All approximations hold for any combination of Gaussian beam width and aperture radius.

© 2000 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.1220) Diffraction and gratings : Apertures
(050.1960) Diffraction and gratings : Diffraction theory
(260.0260) Physical optics : Physical optics

History
Original Manuscript: August 17, 1999
Revised Manuscript: May 1, 2000
Published: September 20, 2000

Citation
Emmanuel M. Drège, Neal G. Skinner, and Dale M. Byrne, "Analytical far-field divergence angle of a truncated Gaussian beam," Appl. Opt. 39, 4918-4925 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-27-4918

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