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Quantifying phases in homogenous twisted birefringent medium

The internal birefringence of an optical medium develops the dynamical phase through natural rotation of incident polarized light. The uniform twist of the medium induces an external birefringence in the system.This can be visualized through the geometric phase by the solid angle in association with the angular twist per unit thickness of the medium $k$.An equivalent physical analysis in the $l=1$ orbital angular momentum sphere also has been pointed out.