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: Chapter in Book/Report/Conference proceedingChapter

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
Title of host publicationOptical Angular Momentum
PublisherCRC Press
Pages273-276
Number of pages4
ISBN (Electronic)9781482269017
ISBN (Print)9780750309011
Publication statusPublished - 2016 Apr 19

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Angular momentum
Harmonic generation
conservation
Conservation
harmonic generations
angular momentum
orbitals
Phase structure
light beams
far fields
Mirrors
Photons
mirrors
harmonics
propagation
output
photons

All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Physics and Astronomy(all)

Cite this

Courtial, J., Dholakia, K., Allen, L., & Padgett, M. J. (2016). Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes. In Optical Angular Momentum (pp. 273-276). CRC Press.
Courtial, J. ; Dholakia, K. ; Allen, L. ; Padgett, M. J. / Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes. Optical Angular Momentum. CRC Press, 2016. pp. 273-276
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Courtial, J, Dholakia, K, Allen, L & Padgett, MJ 2016, Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes. in Optical Angular Momentum. CRC Press, pp. 273-276.

Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes. / Courtial, J.; Dholakia, K.; Allen, L.; Padgett, M. J.

Optical Angular Momentum. CRC Press, 2016. p. 273-276.

Research output: Chapter in Book/Report/Conference proceedingChapter

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Courtial J, Dholakia K, Allen L, Padgett MJ. Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes. In Optical Angular Momentum. CRC Press. 2016. p. 273-276