Fringe polarimetry enabled by the geometric phase: preliminary theory

Luis Garza-Soto; Natalia Sanchez-Soria; Dorilian Lopez-Mago

doi:10.1117/12.2574764

15 June 2020 Fringe polarimetry enabled by the geometric phase: preliminary theory

Luis Garza-Soto, Natalia Sanchez-Soria, Dorilian Lopez-Mago

Proceedings Volume 11523, Optical Technology and Measurement for Industrial Applications 2020; 1152303 (2020) https://doi.org/10.1117/12.2574764
Event: SPIE Technologies and Applications of Structured Light, 2020, Yokohama, Japan

Abstract

In a typical interferometric experiment, the overlap between the reference and probe beams produces an intensity pattern composed of fringes. This fringe pattern contains information regarding the interaction of the probe beam with the sample. If the probe beam passes through a polarizing system, it acquires both a dynamic and geometric phase. The former related to the optical pathlength, whereas the latter related to changes in the state of polarization. As a consequence, the fringe pattern suffers a lateral spatial shift and, mainly due to the geometric phase, change its visibility. In this work, we derive simple expressions relating the fringe visibility with the geometric phase and retardance introduced by the polarizing optical system, in terms of the input polarization state. By doing so, we extract the eigenvectors and eigenvalues of the Jones matrix that characterizes the sample. Therefore, our results enable the implementation of a fringe polarimetry technique, i.e., we can infer the polarization properties of the test sample through visibility measurements.

Citation Download Citation

Luis Garza-Soto, Natalia Sanchez-Soria, and Dorilian Lopez-Mago "Fringe polarimetry enabled by the geometric phase: preliminary theory", Proc. SPIE 11523, Optical Technology and Measurement for Industrial Applications 2020, 1152303 (15 June 2020); https://doi.org/10.1117/12.2574764

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