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Coherency matrix description for statistical linear regression of Stokes parameters in rough small-particle scattering
Authors:K. Chamaillard  Ari T. Friberg  Chris Dainty
Affiliation:a Applied Optics Group, School of Physics, National University of Ireland, Galway, Ireland
b Department of Microelectronics and Applied Physics, Royal Institute of Technology (KTH), Electrum 229, SE-164 40 Kista, Sweden
c Department of Applied Physics, Helsinki University of Technology (TKK), P.O. Box 3500, FI-02015 TKK, Finland
d Department of Physics and Mathematics, University of Joensuu, P.O. Box 111, FI-80101 Joensuu, Finland
Abstract:A statistical analysis of the Stokes parameters in light scattering by randomly rough small particles shows a linear regression law between the squares of the first two components Is and Qs of the Stokes vector. While the coefficients of this linear regression contain physical characteristics of the particles, they cannot be directly interpreted in terms of the degree of polarization of the scattered field. We propose an interpretation of this relationship between the Stokes parameters on the basis of the general coherence-density matrix formalism. The link between the statistical regression results and the polarization properties of the stochastic scattered components of the field is established through the coherency matrix elements.
Keywords:Scattering   Stokes parameters   Partial polarization   Coherence matrix
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