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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 37, Iss. 14 — Jul. 15, 2012
  • pp: 2889–2891

Generalized optical interferometry for modal analysis in arbitrary degrees of freedom

Ayman F. Abouraddy, Timothy M. Yarnall, and Bahaa E. A. Saleh  »View Author Affiliations


Optics Letters, Vol. 37, Issue 14, pp. 2889-2891 (2012)
http://dx.doi.org/10.1364/OL.37.002889


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Abstract

We generalize the traditional concept of temporal optical interferometry to any degree of freedom of a coherent optical field. By identifying the structure of a unitary optical transformation that we designate the generalized phase operator, we enable optical interferometry to be carried out in any modal basis describing a degree of freedom. The structure of the generalized phase operator is that of a fractional optical transform, thus establishing the connection between fractional transforms, optical interferometry, and modal analysis.

© 2012 Optical Society of America

OCIS Codes
(030.4070) Coherence and statistical optics : Modes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(260.3160) Physical optics : Interference
(050.4865) Diffraction and gratings : Optical vortices

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: March 23, 2012
Manuscript Accepted: May 8, 2012
Published: July 11, 2012

Citation
Ayman F. Abouraddy, Timothy M. Yarnall, and Bahaa E. A. Saleh, "Generalized optical interferometry for modal analysis in arbitrary degrees of freedom," Opt. Lett. 37, 2889-2891 (2012)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-37-14-2889

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