Observation of linear, nonlinear and singular behavior of the Pancharatnam-Berry phase

T. D. van Dijk; H. F. Schouten; W. Ubachs; T. Visser

doi:10.1117/12.840871

8 February 2010 Observation of linear, nonlinear and singular behavior of the Pancharatnam-Berry phase

T. D. van Dijk, H. F. Schouten, W. Ubachs, T. Visser

Proceedings Volume 7613, Complex Light and Optical Forces IV; 76130E (2010) https://doi.org/10.1117/12.840871
Event: SPIE OPTO, 2010, San Francisco, California, United States

Abstract

If the state of polarization of a monochromatic light beam is changed in a cyclical manner, the beam acquires-in addition to the usual dynamic phase-a geometric phase. This so-called Pancharatnam-Berry phase, equals half the solid angle of the contour traced out on the Poincar´e sphere. We show that such a geometric interpretation also exists for the Pancharatnam connection, the criterion according to which two beams with different polarization states are said to be in phase. This interpretation offers a new and intuitive method to calculate the geometric phase that accompanies non-cyclic polarization changes. We also present a novel setup that allows the observation of the geometric phase for such changes. The phase can depend in a linear or in a nonlinear fashion on the orientation of the optical elements, and sometimes the dependence is singular. Experimental results that confirm these three types of behavior are presented. The observed singular behavior may be applied in the design of optical switches.

Citation Download Citation

T. D. van Dijk, H. F. Schouten, W. Ubachs, and T. Visser "Observation of linear, nonlinear and singular behavior of the Pancharatnam-Berry phase", Proc. SPIE 7613, Complex Light and Optical Forces IV, 76130E (8 February 2010); https://doi.org/10.1117/12.840871

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