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Optics Letters

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  • Vol. 25, Iss. 6 — Mar. 15, 2000
  • pp: 363–365

Optimal synthesis of three-dimensional complex amplitude distributions

Gal Shabtay, Zeev Zalevsky, Uriel Levy, and David Mendlovic  »View Author Affiliations


Optics Letters, Vol. 25, Issue 6, pp. 363-365 (2000)
http://dx.doi.org/10.1364/OL.25.000363


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Abstract

The synthesis of three-dimensional (3-D) light distributions is important for many applications. For example, in scanning applications it is preferable that the scanning beam preserve its characteristics over a large distance to yield elongated scanning range. It is evident that any 3-D light distribution must satisfy the wave equation or, in second-order approximation, the Fresnel diffraction formula. Thus many desirable 3-D light distributions may not be realizable. We propose a single optical element (OE) that synthesizes a physical beam within a certain 3-D region. The OE provides the optimal physical beam in comparison with a desired one in the sense of minimal mean-square error.

© 2000 Optical Society of America

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

Citation
Gal Shabtay, Zeev Zalevsky, Uriel Levy, and David Mendlovic, "Optimal synthesis of three-dimensional complex amplitude distributions," Opt. Lett. 25, 363-365 (2000)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-25-6-363


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References

  1. J. R. Leger, in Micro-Optics: Elements, Systems and Applications, H. P. Herzig, ed. (Taylor & Francis, London, 1997), Chap. 9, pp. 223–257.
  2. Z. Zalevsky, D. Mendlovic, and R. Dorsch, Opt. Lett. 21, 842 (1996).
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