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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: Franco Gori
  • Vol. 29, Iss. 4 — Apr. 1, 2012
  • pp: 417–425

Influences of twist phenomenon of partially coherent field with uniform-intensity diffractive axicons

Abdu. A. Alkelly, M. Shukri, and Y. S. Alarify  »View Author Affiliations


JOSA A, Vol. 29, Issue 4, pp. 417-425 (2012)
http://dx.doi.org/10.1364/JOSAA.29.000417


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Abstract

The effects of twist phenomenon (beam rotation) of a partially coherent field are studied on the operation of two classes of uniform-intensity diffractive axicons. A general theory of axicon image formation is developed, discussed, and examined. We show that the intensity of the diffracted field is a multiple Bessel field, and only the energy of the zero-order Bessel field diffracts along the propagation axes. We also show that, at any twist strength in all correlation levels, the images can be evaluated by using the stationary-phase method. The three-dimensional stationary-phase formula of axicon images is derived. Such formula may be used in fast image evaluation, for designing diffractive axicons that perform a uniform axial intensity in a twisted partially coherent field.

© 2012 Optical Society of America

OCIS Codes
(110.4980) Imaging systems : Partial coherence in imaging
(140.3295) Lasers and laser optics : Laser beam characterization

ToC Category:
Imaging Systems

History
Original Manuscript: October 27, 2011
Revised Manuscript: December 17, 2011
Manuscript Accepted: December 18, 2011
Published: March 7, 2012

Citation
Abdu. A. Alkelly, M. Shukri, and Y. S. Alarify, "Influences of twist phenomenon of partially coherent field with uniform-intensity diffractive axicons," J. Opt. Soc. Am. A 29, 417-425 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-4-417

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