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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 17 — Aug. 21, 2006
  • pp: 7623–7629

Design of Talbot array illuminators for three-dimensional intensity distributions

Markus Testorf, Thomas J. Suleski, and Yi-Chen Chuang  »View Author Affiliations

Optics Express, Vol. 14, Issue 17, pp. 7623-7629 (2006)

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The self-imaging phenomenon is investigated as the basis for designing diffractive optical elements to generate three-dimensional diffraction patterns. The phase-only diffractive element is related to the intensity distribution at a finite and discrete set of Fresnel diffraction planes by use of the matrix formalism of the fractional Talbot effect. This description provides a framework to determine the degrees of freedom which can be exploited for design. It also helps to identify inherent symmetries of periodic wavefronts, which limit the set of intensity patterns that can be implemented. A simulated annealing algorithm is used to exploit the design freedom. Our discussion includes an example to illustrate observations applicable to a more general class of design problems.

© 2006 Optical Society of America

OCIS Codes
(050.1380) Diffraction and gratings : Binary optics
(050.1970) Diffraction and gratings : Diffractive optics
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects

ToC Category:
Fourier Optics and Optical Signal Processing

Original Manuscript: May 23, 2006
Revised Manuscript: July 18, 2006
Manuscript Accepted: July 22, 2006
Published: August 21, 2006

Markus Testorf, Thomas J. Suleski, and Yi-Chen Chuang, "Design of Talbot array illuminators for three-dimensional intensity distributions," Opt. Express 14, 7623-7629 (2006)

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