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Phys. Rev. A 54, R3742–R3745 (1996)

Second-harmonic generation and the orbital angular momentum of light

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K. Dholakia, N. B. Simpson, and M. J. Padgett
School of Physics and Astronomy, University of St. Andrews, Fife KY16 9SS, Scotland

L. Allen
JILA, University of Colorado, Boulder, Colorado 80309-0440

Received 15 July 1996; published in the issue dated November 1996

Second-harmonic generation has been obtained by the use of Laguerre-Gaussian beams in a variety of mode orders. Each mode becomes doubled in frequency and transformed to a higher order. We show this to be a consequence of the phase-matching conditions. The experiment is consistent with the interpretation that the orbital angular momentum of the Laguerre-Gaussian mode is directly proportional to the azimuthal mode index l.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.54.R3742
DOI:
10.1103/PhysRevA.54.R3742
PACS:
42.50.Ct, 42.65.Ky