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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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References

  1. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996).
  2. F. Gori and G. Guattari, “Bessel–Gauss beams,” Opt. Commun. 64, 491–495 (1987). [CrossRef]
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  5. H. E. H. Figueroa, M. Z. Rached, and E. Recami, eds., Localized Waves (Wiley, 2008).
  6. E. Recami and M. Z. Rached, “Localized waves: a review,” in Advances in Imaging and Electron Physics, Vol. 156 (Academic, 2009), pp. 235–353. [CrossRef]
  7. E. Recami, M. Z. Rached, K. Z. Nóbrega, C. A. Dartora, and H. E. H. Figueroa, “On the localized superluminal solutions to the Maxwell equations,” IEEE J. Sel. Top. Quantum Electron. 9, 59–73 (2003), special issue on “Nontraditional Forms of Light.” [CrossRef]
  8. M. Z. Rached, “Unidirectional decomposition method for obtaining exact localized wave solutions totally free of backward components,” Phys. Rev. A 79, 013816 (2009). [CrossRef]
  9. C. A. Dartora and K. Z. Nobrega, “Study of Gaussian and Bessel beam propagation using a new analytic approach,” Opt. Commun. 285, 510–516 (2012). [CrossRef]
  10. M. Z. Rached, E. Recami, and M. Balma, “Proposte di antenne generatrici di fasci non-diffrattivi di microonde (Proposal of apertures generating nondiffracting beams of microwaves),” http://arxiv.org/abs/1108.2027 .

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