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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 20 — Sep. 27, 2010
  • pp: 21111–21120

A comprehensive approach to deal with instrumental optical aberrations effects in high-accuracy photon's orbital angular momentum spectrum measurements

Néstor Uribe-Patarroyo, Alberto Alvarez-Herrero, and Tomás Belenguer  »View Author Affiliations


Optics Express, Vol. 18, Issue 20, pp. 21111-21120 (2010)
http://dx.doi.org/10.1364/OE.18.021111


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Abstract

With the current and upcoming applications of beams carrying orbital angular momentum (OAM), there will be the need to generate beams and measure their OAM spectrum with high accuracy. The instrumental OAM spectrum distortion is connected to the effect of its optical aberrations on the OAM content of the beams that the instrument creates or measures. Until now, the effect of the well-known Zernike aberrations has been studied partially, assuming vortex beams with trivial radial phase components. However, the traditional Zernike polynomials are not best suitable when dealing with vortex beams, as their OAM spectrum is highly sensitive to some Zernike terms, and completely insensitive to others. We propose the use of a new basis, the OAM-Zernike basis, which consists of the radial aberrations as described by radial Zernike polynomials and of the azimuthal aberrations described in the OAM basis. The traditional tools for the characterization of aberrations of optical instruments can be used, and the results translated to the new basis. This permits the straightforward calculation of the effect of any optical system, such as an OAM detection stage, on the OAM spectrum of an incoming beam. This knowledge permits to correct, a posteriori, the effect of instrumental OAM spectrum distortion on the measured spectra. We also found that the knowledge of the radial aberrations is important, as they affect the efficiency of the detection, and in some cases its accuracy. In this new framework, we study the effect of aberrations in common OAM detection methods, and encourage the characterization of those systems using this approach.

© 2010 Optical Society of America

OCIS Codes
(350.5030) Other areas of optics : Phase
(080.1005) Geometric optics : Aberration expansions
(080.4865) Geometric optics : Optical vortices
(260.6042) Physical optics : Singular optics

ToC Category:
Physical Optics

History
Original Manuscript: April 26, 2010
Revised Manuscript: June 9, 2010
Manuscript Accepted: June 17, 2010
Published: September 22, 2010

Citation
Néstor Uribe-Patarroyo, Alberto Alvarez-Herrero, and Tomás Belenguer, "A comprehensive approach to deal with instrumental optical aberrations effects in high-accuracy photon’s orbital angular momentum spectrum measurements," Opt. Express 18, 21111-21120 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-20-21111


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