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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 11 — May. 23, 2011
  • pp: 10553–10562

Efficient generation of periodic and quasi-periodic non-diffractive optical fields with phase holograms

Victor Arrizón, David Sánchez de-la-Llave, Guadalupe Méndez, and Ulises Ruiz  »View Author Affiliations


Optics Express, Vol. 19, Issue 11, pp. 10553-10562 (2011)
http://dx.doi.org/10.1364/OE.19.010553


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Abstract

The superposition of multiple plane waves with appropriate propagation vectors generates a periodic or quasi-periodic non-diffractive optical field. We show that the Fourier spectrum of the phase modulation of this field is formed by two disjoint parts, one of which is proportional to the Fourier spectrum of the field itself. Based on this result we prove that the non-diffractive field can be generated, with remarkable high accuracy and efficiency, in a Fourier domain spatial filtering setup, using a synthetic phase hologram whose transmittance is the phase modulation of the field. In a couple of cases this result is presented analytically, and in other cases the proof is computational and experimental.

© 2011 OSA

OCIS Codes
(090.1760) Holography : Computer holography
(230.6120) Optical devices : Spatial light modulators
(070.3185) Fourier optics and signal processing : Invariant optical fields
(050.5298) Diffraction and gratings : Photonic crystals

ToC Category:
Holography

History
Original Manuscript: March 2, 2011
Revised Manuscript: May 10, 2011
Manuscript Accepted: May 11, 2011
Published: May 13, 2011

Citation
Victor Arrizón, David Sánchez de-la-Llave, Guadalupe Méndez, and Ulises Ruiz, "Efficient generation of periodic and quasi-periodic non-diffractive optical fields with phase holograms," Opt. Express 19, 10553-10562 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-11-10553


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