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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

  • Vol. 21, Iss. 11 — Nov. 1, 2004
  • pp: 2089–2096

Intrinsic orbital angular momentum of paraxial beams with off-axis imprinted vortices

S. S. R. Oemrawsingh, E. R. Eliel, G. Nienhuis, and J. P. Woerdman  »View Author Affiliations


JOSA A, Vol. 21, Issue 11, pp. 2089-2096 (2004)
http://dx.doi.org/10.1364/JOSAA.21.002089


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Abstract

We investigate the orbital angular momentum (OAM) of paraxial beams containing off-axis phase dislocations and put forward a simple method to calculate the intrinsic orbital angular momentum of an arbitrary paraxial beam. Using this approach we find that the intrinsic OAM of a fundamental Gaussian beam with a vortex imprinted off axis has a Gaussian dependence on the vortex displacement, implying that the expectation value of the intrinsic OAM of a photon can take on a continuous range of values (i.e., integer and noninteger values in units of ℏ). Finally, we investigate, both numerically and experimentally, the far-field profiles of beams carrying half-integer OAM per photon, these beams having been created by the method of imprinting off-axis vortices.

© 2004 Optical Society of America

OCIS Codes
(050.1380) Diffraction and gratings : Binary optics
(050.1970) Diffraction and gratings : Diffractive optics
(090.2890) Holography : Holographic optical elements
(230.1950) Optical devices : Diffraction gratings

History
Original Manuscript: March 17, 2004
Revised Manuscript: June 10, 2004
Manuscript Accepted: June 10, 2004
Published: November 1, 2004

Citation
S. S. R. Oemrawsingh, E. R. Eliel, G. Nienhuis, and J. P. Woerdman, "Intrinsic orbital angular momentum of paraxial beams with off-axis imprinted vortices," J. Opt. Soc. Am. A 21, 2089-2096 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-11-2089

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