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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 35, Iss. 20 — Oct. 15, 2010
  • pp: 3535–3537

Universal description of geometric phases in higher-order optical modes bearing orbital angular momentum

Steven J.M. Habraken and Gerard Nienhuis  »View Author Affiliations


Optics Letters, Vol. 35, Issue 20, pp. 3535-3537 (2010)
http://dx.doi.org/10.1364/OL.35.003535


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Abstract

We study geometric phases that arise from (cyclic) transformations of the transverse spatial structure of paraxial optical modes. Our approach involves bosonic ladder operators that, in the spirit of the quantum-mechanical harmonic oscillator, generate sets of transverse optical modes. It applies to modes of all orders in a very natural way and provides a universal geometric interpretation of the phase shifts acquired by nonastigmatic modes under typical experimental conditions.

© 2010 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(080.2730) Geometric optics : Matrix methods in paraxial optics
(350.1370) Other areas of optics : Berry's phase
(070.3185) Fourier optics and signal processing : Invariant optical fields
(050.4865) Diffraction and gratings : Optical vortices
(260.6042) Physical optics : Singular optics

History
Original Manuscript: July 8, 2010
Revised Manuscript: September 14, 2010
Manuscript Accepted: September 18, 2010
Published: October 15, 2010

Citation
Steven J. M. Habraken and Gerard Nienhuis, "Universal description of geometric phases in higher-order optical modes bearing orbital angular momentum," Opt. Lett. 35, 3535-3537 (2010)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-35-20-3535

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