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Optics Letters

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  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 1 — Jan. 1, 2006
  • pp: 38–40

Generation of an elliptic Bessel beam

Rijuparna Chakraborty and Ajay Ghosh  »View Author Affiliations


Optics Letters, Vol. 31, Issue 1, pp. 38-40 (2006)
http://dx.doi.org/10.1364/OL.31.000038


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Abstract

In an elliptic coordinate system the solution for a diffraction-free beam is given by a Mathieu beam, which is mathematically complicated and therefore takes considerable computational time and a large memory space. A technique is reported for the generation of elliptic hollow beams, which are actually scaled versions of higher-order Bessel beams. The analysis is based on the fact that stretching coordinates in the space domain results in a contraction of the coordinates in the frequency domain, along with a change in the overall amplitude of the spectrum. The beam, produced holographically, is structurally stable and retains its shape up to 1 m .

© 2006 Optical Society of America

OCIS Codes
(090.2890) Holography : Holographic optical elements
(140.3300) Lasers and laser optics : Laser beam shaping

ToC Category:
Holography

Citation
Rijuparna Chakraborty and Ajay Ghosh, "Generation of an elliptic Bessel beam," Opt. Lett. 31, 38-40 (2006)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-31-1-38


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