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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 1 — Jan. 1, 2006
  • pp: 187–192

Designing Talbot array illuminators with phase-space optics

Markus Testorf  »View Author Affiliations


JOSA A, Vol. 23, Issue 1, pp. 187-192 (2006)
http://dx.doi.org/10.1364/JOSAA.23.000187


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Abstract

The problem of designing Talbot array illuminators is revisited in the context of phase-space optics. It is shown that for Talbot array illuminators with optimum compression ratio the construction of phase-only grating profiles can be simplified significantly by using phase-space representations of optical signals. Based on the Wigner distribution function a graphical procedure is derived for obtaining the complete design of the array generator for a given compression ratio. The application of phase-space optics to other classes of Talbot array illuminators, and its use as part of numerical optimization algorithms, is considered as well.

© 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:
DIFFRACTIVE OPTICS AND MICRO-OPTICS

Citation
Markus Testorf, "Designing Talbot array illuminators with phase-space optics," J. Opt. Soc. Am. A 23, 187-192 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-1-187

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