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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: Stephen A. Burns
  • Vol. 23, Iss. 1 — Jan. 1, 2006
  • pp: 43–56

Elliptic Laguerre–Gaussian beams

Victor V. Kotlyar, Svetlana N. Khonina, Anton A. Almazov, Victor A. Soifer, Konstantins Jefimovs, and Jari Turunen  »View Author Affiliations


JOSA A, Vol. 23, Issue 1, pp. 43-56 (2006)
http://dx.doi.org/10.1364/JOSAA.23.000043


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Abstract

An analytical expression for the diffraction of an elliptic Laguerre–Gaussian (LG) beam is derived and analyzed. We show that a beam with even singularity order has nonzero axial intensity for any degree of ellipticity and at any finite distance z from the initial plane, whereas at z = 0 and z = the axial intensity is zero. We show that for a beam with a small degree of ellipticity and even order of singularity, two isolated intensity zeroes appear in the Fresnel zone on a straight line at an angle of 45 deg or 45 deg , depending whether the beam’s spin is right or left. The theoretical conclusions are confirmed by numerical simulation and physical experiments.

© 2006 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.1970) Diffraction and gratings : Diffractive optics

ToC Category:
Diffraction and Gratings

Citation
Victor V. Kotlyar, Svetlana N. Khonina, Anton A. Almazov, Victor A. Soifer, Konstantins Jefimovs, and Jari Turunen, "Elliptic Laguerre-Gaussian beams," J. Opt. Soc. Am. A 23, 43-56 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-1-43


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