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We report here acquisition of Pancharatnam Phase by higher order C-point singularities. This geometric phase is gained when these polarization singularities undergo discrete cyclic transformations over the closed geodesical trajectories on the fundamental Poincaré Sphere. It is shown that the amount of Pancharatnam Phase acquired by higher order C-points is determined by the solid angle subtended by the closed trajectory at the centre of the Poincaré Sphere and the index of the higher order C-point. We use index inversion hopping mechanism to demonstrate this Pancharatnam excursions of higher order C-points.
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Ruchi ., B. S. Bhargava Ram, P. Senthilkumaran, "Pancharatnam excursions of higher-order C-points," Proc. SPIE 10744, Laser Beam Shaping XVIII, 1074409 (14 September 2018); https://doi.org/10.1117/12.2326818