Duplex symmetry and its relation to the conservation of optical helicity

Stephen M. Barnett, Robert P. Cameron, Alison M. Yao

Research output: Contribution to journalArticle

52 Citations (Scopus)

Abstract

Helicity is a familiar concept in particle physics and also appears in the physics of fluids and plasmas. In this paper, we present the optical helicity in a form readily applicable to both quantum and classical problems. We examine the relationship between the optical helicity and the more familiar optical spin and show that the conservation of helicity is an expression of the electric-magnetic symmetry for light. We show that helicity is distinct from Lipkin's 00-zilch; a simple relationship exists between the two only for monochromatic fields. It is only the optical helicity that has the correct dimensions of an angular momentum, thereby accurately describing the helicity of light. To illustrate the physical significance of the optical helicity, we consider a circularly polarized plane wave and the field emitted by a rotating electric dipole.

LanguageEnglish
Article number013845
Number of pages4
JournalPhysical Review A
Volume86
Issue number1
DOIs
Publication statusPublished - 30 Jul 2012

Fingerprint

conservation
physics
symmetry
electric dipoles
plane waves
angular momentum
fluids

Keywords

  • duplex symmetry
  • optical helicity
  • conservation
  • orbital angular-momentum
  • carry
  • spin
  • fields
  • plane-wave
  • question number-79

Cite this

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abstract = "Helicity is a familiar concept in particle physics and also appears in the physics of fluids and plasmas. In this paper, we present the optical helicity in a form readily applicable to both quantum and classical problems. We examine the relationship between the optical helicity and the more familiar optical spin and show that the conservation of helicity is an expression of the electric-magnetic symmetry for light. We show that helicity is distinct from Lipkin's 00-zilch; a simple relationship exists between the two only for monochromatic fields. It is only the optical helicity that has the correct dimensions of an angular momentum, thereby accurately describing the helicity of light. To illustrate the physical significance of the optical helicity, we consider a circularly polarized plane wave and the field emitted by a rotating electric dipole.",
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Duplex symmetry and its relation to the conservation of optical helicity. / Barnett, Stephen M.; Cameron, Robert P.; Yao, Alison M.

In: Physical Review A, Vol. 86, No. 1, 013845, 30.07.2012.

Research output: Contribution to journalArticle

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AU - Cameron, Robert P.

AU - Yao, Alison M.

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N2 - Helicity is a familiar concept in particle physics and also appears in the physics of fluids and plasmas. In this paper, we present the optical helicity in a form readily applicable to both quantum and classical problems. We examine the relationship between the optical helicity and the more familiar optical spin and show that the conservation of helicity is an expression of the electric-magnetic symmetry for light. We show that helicity is distinct from Lipkin's 00-zilch; a simple relationship exists between the two only for monochromatic fields. It is only the optical helicity that has the correct dimensions of an angular momentum, thereby accurately describing the helicity of light. To illustrate the physical significance of the optical helicity, we consider a circularly polarized plane wave and the field emitted by a rotating electric dipole.

AB - Helicity is a familiar concept in particle physics and also appears in the physics of fluids and plasmas. In this paper, we present the optical helicity in a form readily applicable to both quantum and classical problems. We examine the relationship between the optical helicity and the more familiar optical spin and show that the conservation of helicity is an expression of the electric-magnetic symmetry for light. We show that helicity is distinct from Lipkin's 00-zilch; a simple relationship exists between the two only for monochromatic fields. It is only the optical helicity that has the correct dimensions of an angular momentum, thereby accurately describing the helicity of light. To illustrate the physical significance of the optical helicity, we consider a circularly polarized plane wave and the field emitted by a rotating electric dipole.

KW - duplex symmetry

KW - optical helicity

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KW - carry

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KW - fields

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