Discontinuous behaviour of polarization angular parameters at the poles of Poincare sphere

B. Bieg; J. Chrzanowski; Yu. A. Kravcov

doi:10.1117/12.2006993

18 December 2012 Discontinuous behaviour of polarization angular parameters at the poles of Poincare sphere

B. Bieg, J. Chrzanowski, Yu. A. Kravcov

Proceedings Volume 8697, 18th Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics; 86970C (2012) https://doi.org/10.1117/12.2006993
Event: 18th Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 2012, Ostravice, Czech Republic

Abstract

The behavior of four angular parameters describing polarization ellipse is analyzed in the vicinity of Poincare sphere poles. It is shown that the phenomenon of step-wise change of azimuthal angle of polarization ellipse at π/2 near poles s₃ = ±1 is not accompanied by discontinuities in other parameters of polarization ellipse. In particular the dual system of angular parameters “amplitude-ratio angle and phase difference” do not experience any discontinuities near the poles s₃ = ±1. The same is true for the area of polarization ellipse, which is shown to be continuous on the whole Poincare sphere. Analogously, step-wise change of phase difference at π near poles s₁ = ±1 is not accompanied by any discontinuities in basic system of angular parameters “azimuth-ellipticity”. General features of angular parameters behavior are illustrated by the results of numerical modelling.

Citation Download Citation

B. Bieg, J. Chrzanowski, and Yu. A. Kravcov "Discontinuous behaviour of polarization angular parameters at the poles of Poincare sphere", Proc. SPIE 8697, 18th Czech-Polish-Slovak Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 86970C (18 December 2012); https://doi.org/10.1117/12.2006993

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