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Applied Optics

Applied Optics


  • Vol. 39, Iss. 26 — Sep. 10, 2000
  • pp: 4794–4801

Reinterpretation and improvement of Talbot array illuminators

Victor Arrizón and G. Rojo-Velázquez  »View Author Affiliations

Applied Optics, Vol. 39, Issue 26, pp. 4794-4801 (2000)

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We show that the transmittance of a finite Talbot array illuminator (TAI) can be expressed by the phase distribution of a pixelated lens, modulated by a discrete phase grating (G). Thus the TAI reconstruction field is given by the convolution of the grating’s Fourier transform, with the point-spread function of the pixelated lens. On the basis of this approach we propose a method to improve the performance of a finite TAI by modifying the basic cell of the grating factor G.

© 2000 Optical Society of America

OCIS Codes
(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
(200.4650) Optics in computing : Optical interconnects

Original Manuscript: December 8, 1999
Revised Manuscript: June 8, 2000
Published: September 10, 2000

Victor Arrizón and G. Rojo-Velázquez, "Reinterpretation and improvement of Talbot array illuminators," Appl. Opt. 39, 4794-4801 (2000)

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