## Geometric phase from a dielectric matrix

JOSA B, Vol. 23, Issue 5, pp. 817-822 (2006)

http://dx.doi.org/10.1364/JOSAB.23.000817

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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

**OCIS Codes**

(080.2730) Geometric optics : Matrix methods in paraxial optics

**History**

Original Manuscript: July 11, 2005

Revised Manuscript: September 23, 2005

Manuscript Accepted: October 5, 2005

**Citation**

Dipti Banerjee, "Geometric phase from a dielectric matrix," J. Opt. Soc. Am. B **23**, 817-822 (2006)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-5-817

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