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Geometric phase morphology of Jones matrices.
Optics Letters
|July 15, 2017
Summary
We introduce a novel Pancharatnam-Berry phase technique to distinguish between homogeneous and inhomogeneous optical systems. This method reveals distinct geometric phase morphologies, aiding in the analysis of polarization properties and beam transformations.
Area of Science:
- Optics and Photonics
- Quantum Information Science
Background:
- Optical systems can be classified as homogeneous or inhomogeneous based on their eigenpolarization properties.
- Characterizing these systems is crucial for understanding light-matter interactions and polarization transformations.
Purpose of the Study:
- To develop and demonstrate a new method for classifying optical systems as homogeneous or inhomogeneous.
- To utilize the Pancharatnam-Berry phase for analyzing the polarization characteristics of optical systems.
Main Methods:
- Employing the Pancharatnam-Berry phase as a tool to probe the nature of optical systems.
- Analyzing the geometric phase morphology, including line dislocations and phase singularities, within the Jones matrix framework.
Main Results:
- Homogeneous systems exhibit symmetric geometric phase morphology with line dislocations.
- Inhomogeneous systems display phase singularities where the Pancharatnam-Berry phase is indeterminate.
- The technique provides an alternative for extracting polarization properties like diattenuation and retardance.
Conclusions:
- The Pancharatnam-Berry phase offers a robust method for distinguishing homogeneous from inhomogeneous optical systems.
- This approach facilitates the study of space-variant polarized beams and the characterization of optical elements.
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