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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. 21, Iss. 4 — Apr. 1, 2004
  • pp: 640–646

New generalized Bessel–Gaussian beams

Yajun Li, Hungte Lee, and Emil Wolf  »View Author Affiliations


JOSA A, Vol. 21, Issue 4, pp. 640-646 (2004)
http://dx.doi.org/10.1364/JOSAA.21.000640


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Abstract

Analytical expressions are derived for a new set of optical beams, in which the radial dependence is described by a sum of Bessel distributions of different orders, modified by a flat-topped Gaussian function expressed in the form 1-[1-exp(-ξ2)]M, where ξ is a dimensionless parameter and M(1) is a scalar quantity. The flat-topped Gaussian function can be readily expanded into a series of the lowest-order Gaussian modes with different parameters; this situation makes it possible to express the optical beam as a series of conventional Bessel–Gaussian beams of different orders. The propagation features of this new set of optical beams are investigated to reveal how a windowed Bessel beam passes progressively from a smooth Gaussian window toward the hard-edge limit.

© 2004 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(140.3300) Lasers and laser optics : Laser beam shaping

History
Original Manuscript: May 30, 2003
Revised Manuscript: October 23, 2003
Manuscript Accepted: December 1, 2003
Published: April 1, 2004

Citation
Yajun Li, Hungte Lee, and Emil Wolf, "New generalized Bessel–Gaussian beams," J. Opt. Soc. Am. A 21, 640-646 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-4-640


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References

  1. J. Durnin, “Exact solution for nondiffracting beams: I. The scalar theory,” J. Opt. Soc. Am. A 4, 651–654 (1987). [CrossRef]
  2. J. Durnin, J. J. Miceli, J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987). [CrossRef] [PubMed]
  3. R. M. Herman, T. A. Wiggins, “Apodization of diffractionless beams,” Appl. Opt. 31, 5913–5915 (1992). [CrossRef] [PubMed]
  4. F. Gori, G. Guattari, C. Padovani, “Bessel-Gauss beams,” Opt. Commun. 64, 491–495 (1987). [CrossRef]
  5. Z. Jiang, Q. Lu, Z. Liu, “Propagation of apertured Bessel beams,” Appl. Opt. 34, 7183–7185 (1995). [CrossRef] [PubMed]
  6. A. J. Cox, J. D’Anna, “Constant-axial-intensity nondiffracting beams,” Opt. Lett. 17, 232–234 (1992). [CrossRef] [PubMed]
  7. C. Palma, V. Bagini, “Propagation of super-Gaussian beams,” Opt. Commun. 111, 6–10 (1994). [CrossRef]
  8. S. Rushin, “Modified Bessel nondiffracting beams,” J. Opt. Soc. Am. A 11, 3224–3228 (1994). [CrossRef]
  9. G. Indebetouw, “Nondiffracting optical fields: some remarks on their analysis and synthesis,” J. Opt. Soc. Am. A 6, 150–152 (1989). [CrossRef]
  10. V. Bagini, F. Frezza, M. Santarsiero, G. Schettini, G. Spagolos, “Generalized Bessel-Gauss beams,” J. Mod. Opt. 43, 1155–1166 (1996).
  11. C. Palma, G. Cincotti, G. Guattari, M. Santarsiero, “Imaging of generalized Bessel–Gauss beams,” J. Mod. Opt. 43, 2269–2277 (1996). [CrossRef]
  12. R. Piestun, J. Shamir, “Generalized propagation-invariant fields,” J. Opt. Soc. Am. A 15, 3039–3044 (1998). [CrossRef]
  13. Y. Li, V. Gurevich, M. Krichever, J. Katz, E. Marom, “Propagation of anisotropic Bessel-Gaussian beams: sidelobe control, mode selection and field depth,” Appl. Opt. 40, 2709–2721 (2001). [CrossRef]
  14. Y. Li, “New expressions for flat-topped light beams,” Opt. Commun. 206, 225–234 (2002). [CrossRef]
  15. F. Gori, “Flattened Gaussian beams,” Opt. Commun. 107, 335–341 (1994). [CrossRef]
  16. M. Born, E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, UK, 1999), Sec. 8.2.2.

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