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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

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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