General Lossless Spatial Polarization Transformations

Abstract

Liquid crystals allow for the real-time control of the polarization of light. We describe and provide some experimental examples of the types of general polarization transformations, including universal polarization transformations, that can be accomplished with liquid crystals in tandem with fixed waveplates. Implementing these transformations with an array of liquid crystals, e.g., a spatial light modulator, allows for the manipulation of the polarization across a beam's transverse plane. We outline applications of such general spatial polarization transformations in the generation of exotic types of vector polarized beams, a polarization magnifier, and the correction of polarization aberrations in light fields.

21 pages, 8 figures

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• Large-scale free-space photonic circuits in two dimensions
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• Quantum process tomography of structured optical gates with convolutional neural networks
• Optimization for maximum modulation of a double-pass twisted nematic liquid crystal display
• Compact and programmable large-scale optical processor in free space
• Vector Beam Bending