Optimal synthesis of three-dimensional complex amplitude distributions

Gal Shabtay*, Zeev Zalevsky, Uriel Levy, David Mendlovic

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


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.

Original languageAmerican English
Pages (from-to)363-365
Number of pages3
JournalOptics Letters
Issue number6
StatePublished - 15 Mar 2000
Externally publishedYes


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