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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

  • Vol. 20, Iss. 4 — Apr. 1, 2003
  • pp: 638–643

Talbot conditions, Talbot resonators, and first-order systems

Carlos R. Fernández-Pousa, Marı́a Teresa Flores-Arias, Carmen Bao, Marı́a Victoria Pérez, and Carlos Gómez-Reino  »View Author Affiliations


JOSA A, Vol. 20, Issue 4, pp. 638-643 (2003)
http://dx.doi.org/10.1364/JOSAA.20.000638


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Abstract

A study of first-order Talbot resonators is presented. The general conditions for Talbot effect in ABCD systems are determined. These conditions are applied to the computation of the diffraction overlapping coefficients between array Gaussian emitters in a general first-order Talbot resonator. Relations on the ray-transfer matrix to generate the symmetric and the totally antisymmetric supermodes of the array are derived. These relations generalize the free-space, round-trip lengths of 1/2 and 1/4 of the Talbot distance. A new type of resonator based on a plano–convex gradient-index rod is proposed.

© 2003 Optical Society of America

OCIS Codes
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(110.0110) Imaging systems : Imaging systems
(140.3410) Lasers and laser optics : Laser resonators
(230.5750) Optical devices : Resonators

History
Original Manuscript: October 28, 2002
Revised Manuscript: November 27, 2002
Manuscript Accepted: November 27, 2002
Published: April 1, 2003

Citation
Carlos R. Fernández-Pousa, Marı́a Teresa Flores-Arias, Carmen Bao, Marı́a Victoria Pérez, and Carlos Gómez-Reino, "Talbot conditions, Talbot resonators, and first-order systems," J. Opt. Soc. Am. A 20, 638-643 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-4-638

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