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

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References

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  1. J. R. Leger, in Micro-Optics: Elements, Systems and Applications, H. P. Herzig, ed. (Taylor & Francis, London, 1997), Chap. 9, pp. 223โ€“257.
  2. Z. Zalevsky, D. Mendlovic, and R. Dorsch, Opt. Lett. 21, 842 (1996).
  3. D. Mendlovic, Z. Zalevsky, G. Shabtay, and E. Marom, Appl. Opt. 35, 6875 (1996).
  4. R. W. Gerchberg and W. O. Saxton, Optik 35, 237 (1972).
  5. J. Durnin, J. Opt. Soc. Am. A 4, 651 (1987).
  6. Z. Jiang, J. Opt. Soc. Am. A 14, 1478 (1997).
  7. J. Rosen, Opt. Lett. 19, 369 (1995).

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1972

R. W. Gerchberg and W. O. Saxton, Optik 35, 237 (1972).

Appl. Opt.

J. Opt. Soc. Am. A

Opt. Lett.

Optik

R. W. Gerchberg and W. O. Saxton, Optik 35, 237 (1972).

Other

J. R. Leger, in Micro-Optics: Elements, Systems and Applications, H. P. Herzig, ed. (Taylor & Francis, London, 1997), Chap. 9, pp. 223โ€“257.

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