Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes

J. Courtial, K. Dholakia, L. Allen, M. J. Padgett

Research output: Contribution to journalArticle

207 Citations (Scopus)

Abstract

Laguerre-Gaussian modes of various order are frequency doubled. The azimuthal phase structure of the second-harmonic light is measured directly by interfering the beam with its mirror image. We show that the orbital angular momentum per photon is doubled, so conserving the orbital angular momentum in the light beam. The frequency-doubled output beam is shown to have a Gegenbauer-Gaussian amplitude distribution at the beam waist. The beam can be described as a summation of Laguerre-Gaussian modes that interfere so that it changes form with propagation, but the distribution at the beam waist is reproduced in the far field.

Original languageEnglish
Pages (from-to)4193-4196
Number of pages4
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume56
Issue number5
DOIs
Publication statusPublished - 1997 Jan 1

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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