Optical helicity, optical spin and related quantities in electromagnetic theory

Robert Cameron, Stephen Barnett, Alison Yao

Research output: Contribution to journalArticle

99 Citations (Scopus)

Abstract

We examine the optical helicity, the optical spin and the ij-infra- zilches in electromagnetic theory and show that these conserved quantities can be combined to form a new description of the angular momentum associated with optical polarization: one that is analogous to the familiar description of optical energy and linear momentum. The symmetries of Maxwell’s equations that underlie the conservation of our quantities are presented and discussed. We explain that a similar but distinct set of quantities, Lipkin’s zilches, describe the ‘angular momentum’ of the curl of the electromagnetic field, rather than the angular momentum of the electromagnetic field itself.
LanguageEnglish
Article number053050
Number of pages16
JournalNew Journal of Physics
Volume14
Issue number5
DOIs
Publication statusPublished - 31 May 2012

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angular momentum
electromagnetism
electromagnetic fields
optical polarization
Maxwell equation
conservation
momentum
symmetry
energy

Keywords

  • electromagnetic theory
  • optics
  • optical helicity
  • optical spin

Cite this

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Optical helicity, optical spin and related quantities in electromagnetic theory. / Cameron, Robert; Barnett, Stephen; Yao, Alison.

In: New Journal of Physics, Vol. 14, No. 5, 053050, 31.05.2012.

Research output: Contribution to journalArticle

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AU - Cameron, Robert

AU - Barnett, Stephen

AU - Yao, Alison

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AB - We examine the optical helicity, the optical spin and the ij-infra- zilches in electromagnetic theory and show that these conserved quantities can be combined to form a new description of the angular momentum associated with optical polarization: one that is analogous to the familiar description of optical energy and linear momentum. The symmetries of Maxwell’s equations that underlie the conservation of our quantities are presented and discussed. We explain that a similar but distinct set of quantities, Lipkin’s zilches, describe the ‘angular momentum’ of the curl of the electromagnetic field, rather than the angular momentum of the electromagnetic field itself.

KW - electromagnetic theory

KW - optics

KW - optical helicity

KW - optical spin

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T2 - New Journal of Physics

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