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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 13 — Jul. 1, 2013
  • pp: 15777–15786

Phase-only shaping algorithm for Gaussian-apodized Bessel beams

Charles G. Durfee, John Gemmer, and Jerome V. Moloney  »View Author Affiliations


Optics Express, Vol. 21, Issue 13, pp. 15777-15786 (2013)
http://dx.doi.org/10.1364/OE.21.015777


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Abstract

Gaussian-apodized Bessel beams can be used to create a Bessel-like axial line focus at a distance from the focusing lens. For many applications it is desirable to create an axial intensity profile that is uniform along the Bessel zone. In this article, we show that this can be accomplished through phase-only shaping of the wavefront in the far field where the beam has an annular ring structure with a Gaussian cross section. We use a one-dimensional transform to map the radial input field to the axial Bessel field and then optimized the axial intensity with a Gerchberg-Saxton algorithm. By separating out the quadratic portion of the shaping phase the algorithm converges more rapidly.

© 2013 OSA

OCIS Codes
(220.2560) Optical design and fabrication : Propagating methods
(070.7345) Fourier optics and signal processing : Wave propagation
(110.1080) Imaging systems : Active or adaptive optics

ToC Category:
Physical Optics

History
Original Manuscript: April 10, 2013
Revised Manuscript: May 16, 2013
Manuscript Accepted: May 21, 2013
Published: June 25, 2013

Citation
Charles G. Durfee, John Gemmer, and Jerome V. Moloney, "Phase-only shaping algorithm for Gaussian-apodized Bessel beams," Opt. Express 21, 15777-15786 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-13-15777


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