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Classical polarization multipoles: paraxial versus nonparaxial

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Leuchs,  G.
Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Sanchez-Soto,  L. L.
Guests, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

de la Hoz, P., Bjork, G., de Guise, H., Klimov, A. B., Leuchs, G., & Sanchez-Soto, L. L. (2015). Classical polarization multipoles: paraxial versus nonparaxial. SI, 90(7): 074030. doi:10.1088/0031-8949/90/7/074030.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002D-63B0-0
Abstract
We discuss the polarization of paraxial and nonparaxial classical light fields by resorting to a multipole expansion of the corresponding polarization matrix. It turns out that only a dipolar term contributes when one considers SU(2) (paraxial) or SU(3) (nonparaxial) as fundamental symmetries. In this latter case, one can alternatively expand in SU(2) multipoles, and then both a dipolar and a quadrupolar component contribute, which explains the richer structure of this nonparaxial instance. These multipoles uniquely determine Wigner functions, in terms of which we examine some intriguing hallmarks arising in this classical scenario.