Duplex symmetry and its relation to the conservation of optical helicity

Barnett, S. M. , Cameron, R. P. and Yao, A. M. (2012) Duplex symmetry and its relation to the conservation of optical helicity. Physical Review A: Atomic, Molecular and Optical Physics, 86(1), 013845. (doi:10.1103/PhysRevA.86.013845)

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Publisher's URL: http://dx.doi.org/10.1103/PhysRevA.86.013845

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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Barnett, Professor Stephen and Yao, Dr Alison
Authors: Barnett, S. M., Cameron, R. P., and Yao, A. M.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review A: Atomic, Molecular and Optical Physics
Publisher:American Physical Society
ISSN:1050-2947
ISSN (Online):1094-1622

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
549871Challenges in Orbital Angular MomentumMiles PadgettEngineering & Physical Sciences Research Council (EPSRC)EP/I012451/1P&A - PHYSICS & ASTRONOMY