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
(080.2730) Geometric optics : Matrix methods in paraxial optics
Original Manuscript: July 11, 2005
Revised Manuscript: September 23, 2005
Manuscript Accepted: October 5, 2005
Dipti Banerjee, "Geometric phase from a dielectric matrix," J. Opt. Soc. Am. B 23, 817-822 (2006)