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Hankel–Bessel laser beams |
JOSA A, Vol. 29, Issue 5, pp. 741-747 (2012)
http://dx.doi.org/10.1364/JOSAA.29.000741
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Abstract
An analytical solution of the scalar Helmholtz equation to describe the propagation of a laser light beam in the positive direction of the optical axis is derived. The complex amplitude of such a beam is found to be in direct proportion to the product of two linearly independent solutions of Kummer’s differential equation. Relationships for a particular case of such beams—namely, the Hankel–Bessel (HB) beams—are deduced. The focusing of the HB beams is studied.
© 2012 Optical Society of America
OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(050.4865) Diffraction and gratings : Optical vortices
ToC Category:
Diffraction and Gratings
History
Original Manuscript: October 26, 2011
Manuscript Accepted: December 19, 2011
Published: April 19, 2012
Citation
Victor V. Kotlyar, Alexey A. Kovalev, and Victor A. Soifer, "Hankel–Bessel laser beams," J. Opt. Soc. Am. A 29, 741-747 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-5-741
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