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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. 1 — Jan. 1, 2001
  • pp: 170–176

Propagation and focusing of Bessel–Gauss, generalized Bessel–Gauss, and modified Bessel–Gauss beams

R. M. Herman and T. A. Wiggins  »View Author Affiliations


JOSA A, Vol. 18, Issue 1, pp. 170-176 (2001)
http://dx.doi.org/10.1364/JOSAA.18.000170


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Abstract

The propagation of Bessel–Gauss, generalized Bessel–Gauss, and modified Bessel–Gauss beams, for which the exact form of the optical fields is known, is analyzed according to the approximate theory developed previously by the authors [J. Opt. Soc. Am. 17, 1021 (2000)]. Approximations are developed for the fields themselves that are highly accurate and yet are simple in their form and physical description. A set of simple equations is developed, which directly give the parameters describing an image beam following passage through a perfect lens of focal length f, starting with any of the above-mentioned object beams. Ray propagation for these types of beams is described, and it is specifically noted that the intensity maxima do not follow straight paths, while the auxiliary F (ρ, z) function in fact does follow straight paths.

© 2001 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(260.1960) Physical optics : Diffraction theory
(350.5500) Other areas of optics : Propagation

History
Original Manuscript: May 17, 1999
Revised Manuscript: May 15, 2000
Manuscript Accepted: May 15, 2000
Published: January 1, 2001

Citation
R. M. Herman and T. A. Wiggins, "Propagation and focusing of Bessel–Gauss, generalized Bessel–Gauss, and modified Bessel–Gauss beams," J. Opt. Soc. Am. A 18, 170-176 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-1-170


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References

  1. R. M. Herman, T. A. Wiggins, “Bessel-like beams modulated by arbitrary radial functions,” J. Opt. Soc. Am. A 17, 1021–1032 (2000). [CrossRef]
  2. V. Bagini, F. Frezza, M. Santarieso, G. Schettini, G. Spagnolos, “Generalized Bessel–Gauss beams,” J. Mod. Opt. 43, 1155–1166 (1996).
  3. C. Palma, G. Cincotti, G. Guattari, M. Santorieso, “Imaging of generalized Bessel–Gauss beams,” J. Mod. Opt. 43, 2269–2277 (1996). [CrossRef]
  4. S. A. Self, “Focusing of spherical Gaussian beams,” Appl. Opt. 22, 658–661 (1983). [CrossRef] [PubMed]
  5. M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, UK, 1980).

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