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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 13 — May. 1, 2010
  • pp: 2519–2528

Intensity based self-imaging

Habib Hamam  »View Author Affiliations


Applied Optics, Vol. 49, Issue 13, pp. 2519-2528 (2010)
http://dx.doi.org/10.1364/AO.49.002519


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Abstract

We propose an iterative method to optimize the phase profile of the initial field so that its intensity profile is observed periodically along the longitudinal (propagation) axis. The new method is inspired from the Gerchberg–Saxton technique, where the Fresnel transform is used, instead of the Fourier transform, for retrieving the phase profile of several light distributions (for example, 15 planes), instead of a Fourier pair of distributions. The additional challenge, with respect to the conventional Gerchberg–Saxton technique, is that the planes where constraints are applied number more than two. It turned out that when the number of periods increased, the spectrum of the obtained initial field converges toward including Montgomery’s rings (self-imaging condition).

© 2010 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(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 Signal Processing

History
Original Manuscript: March 1, 2010
Revised Manuscript: March 25, 2010
Manuscript Accepted: March 26, 2010
Published: April 27, 2010

Citation
Habib Hamam, "Intensity based self-imaging," Appl. Opt. 49, 2519-2528 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-13-2519

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