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Geometric phase from a dielectric matrix

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Abstract

The dielectric property of the anisotropic optical medium is ascertained by considering the polarized photon as a two-component spinor of spherical harmonics. The geometric phase of a single-polarized photon has been evaluated in two ways: the phase two-form of the dielectric matrix through a twist and the Pancharatnam phase by changing the angular momentum of the incident polarized photon over a closed triangular path on the extended Poincaré sphere. The helicity in connection with the spin angular momentum of the chiral photon plays the key role in developing these phase holonomies.

© 2006 Optical Society of America

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