Momentum paradox in a vortex core

R Zambrini, L C Thomson, S M Barnett, M Padgett

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The identification of angular momentum l (h) over bar per photon with optical vortices of charge l appears to require that the field amplitude be zero within a finite distance of the vortex. This, however, is not compatible with the known form of beams such as the Laguerre - Gaussian and Bessel beams. We resolve this paradox by analysing the propagation of a Bessel beam through a small circular aperture, showing that the resulting field has evanescent components.

LanguageEnglish
Pages1135-1144
Number of pages10
JournalJournal of Modern Optics
Volume52
Issue number8
DOIs
Publication statusPublished - 20 May 2005

Fingerprint

paradoxes
vortices
momentum
angular momentum
apertures
propagation
photons

Keywords

  • orbital angular-momentum
  • gaussian layer modes
  • electromagnetic fields
  • scalar representation
  • poynting vector
  • light
  • density

Cite this

Zambrini, R., Thomson, L. C., Barnett, S. M., & Padgett, M. (2005). Momentum paradox in a vortex core. Journal of Modern Optics, 52(8), 1135-1144. https://doi.org/10.1080/09500340412331326383
Zambrini, R ; Thomson, L C ; Barnett, S M ; Padgett, M . / Momentum paradox in a vortex core. In: Journal of Modern Optics. 2005 ; Vol. 52, No. 8. pp. 1135-1144.
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Zambrini, R, Thomson, LC, Barnett, SM & Padgett, M 2005, 'Momentum paradox in a vortex core' Journal of Modern Optics, vol. 52, no. 8, pp. 1135-1144. https://doi.org/10.1080/09500340412331326383

Momentum paradox in a vortex core. / Zambrini, R ; Thomson, L C ; Barnett, S M ; Padgett, M .

In: Journal of Modern Optics, Vol. 52, No. 8, 20.05.2005, p. 1135-1144.

Research output: Contribution to journalArticle

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Zambrini R, Thomson LC, Barnett SM, Padgett M. Momentum paradox in a vortex core. Journal of Modern Optics. 2005 May 20;52(8):1135-1144. https://doi.org/10.1080/09500340412331326383