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Polarization singularities in paraxial vector fields: morphology and statistics

Polarization singularities in paraxial vector fields: morphology and statistics
Polarization singularities in paraxial vector fields: morphology and statistics
Polarization patterns in the transverse plane generically contain singularities: points of circular polarization (C points), lines of linear polarization (L lines), instantaneous zeros (disclinations) and component zeros. We investigate the geometry of ellipse fields at these singularities, using the Stokes parameters and others to characterize the singular geometry and morphology. Comparison is made with analogous structures on random surfaces, namely umbilic points and parabolic lines. The densities and correlations of the different types of polarization singularities are calculated in random polarization fields, and compared to the statistics of phase singularities and random surfaces.
polarization, C points, phase singularities, Stokes parameters, Gaussian randomness
0030-4018
201-221
Dennis, M.R.
ff55cf66-eb8b-4eb9-83eb-230c2f223d61
Dennis, M.R.
ff55cf66-eb8b-4eb9-83eb-230c2f223d61

Dennis, M.R. (2002) Polarization singularities in paraxial vector fields: morphology and statistics. Optics Communications, 213 (4-6), 201-221. (doi:10.1016/S0030-4018(02)02088-6).

Record type: Article

Abstract

Polarization patterns in the transverse plane generically contain singularities: points of circular polarization (C points), lines of linear polarization (L lines), instantaneous zeros (disclinations) and component zeros. We investigate the geometry of ellipse fields at these singularities, using the Stokes parameters and others to characterize the singular geometry and morphology. Comparison is made with analogous structures on random surfaces, namely umbilic points and parabolic lines. The densities and correlations of the different types of polarization singularities are calculated in random polarization fields, and compared to the statistics of phase singularities and random surfaces.

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Published date: 2002
Keywords: polarization, C points, phase singularities, Stokes parameters, Gaussian randomness

Identifiers

Local EPrints ID: 29380
URI: http://eprints.soton.ac.uk/id/eprint/29380
ISSN: 0030-4018
PURE UUID: 59a4b8ba-3ce6-4052-b565-fda7a2223bd4

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Date deposited: 11 May 2006
Last modified: 14 Sep 2021 17:28

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