Abstract
To enable unified analysis and simultaneous evaluation of geometrical spin-redirection phase and Pancharatnam phase, conventional 2 X 2 Jones matrix calculation is generalized and a new scheme of 3 X 3 matrix calculation is proposed. By the proposed algorithm one can trace the polarization state changes and the geometric phase shifts caused by the beam propagation along an arbitrary optical path that involves both reflection and refraction at surfaces with Fresnel shift and birefringence.
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