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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 16 — Jun. 1, 2012
  • pp: 3370–3379

Simple and effective method for the analytic description of important optical beams when truncated by finite apertures

Michel Zamboni-Rached, Erasmo Recami, and Massimo Balma  »View Author Affiliations


Applied Optics, Vol. 51, Issue 16, pp. 3370-3379 (2012)
http://dx.doi.org/10.1364/AO.51.003370


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Abstract

In this paper we present a simple and effective method, based on appropriate superpositions of Bessel–Gauss beams, which in the Fresnel regime is able to describe in analytic form the three-dimensional evolution of important waves as Bessel beams, plane waves, Gaussian beams, and Bessel–Gauss beams when truncated by finite apertures. One of the by-products of our mathematical method is that one can get in a few seconds, or minutes, high-precision results, which normally require quite lengthy numerical simulations. The method works in electromagnetism (optics, microwaves) as well as in acoustics.

© 2012 Optical Society of America

OCIS Codes
(110.1220) Imaging systems : Apertures
(260.1960) Physical optics : Diffraction theory
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Diffraction and Gratings

History
Original Manuscript: March 8, 2012
Manuscript Accepted: March 29, 2012
Published: May 30, 2012

Citation
Michel Zamboni-Rached, Erasmo Recami, and Massimo Balma, "Simple and effective method for the analytic description of important optical beams when truncated by finite apertures," Appl. Opt. 51, 3370-3379 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-16-3370

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