Single-shot characterization of vector beams by generalized measurements

Area of Science:

• Optics and Photonics
• Quantum Information Science
• Materials Science

Background:

• Vector vortex beams offer enhanced information density for classical and quantum communication.
• Generating and manipulating these beams has advanced with new optical instrumentation.
• Conventional tomography of vector vortex beams relies on projection measurements for polarization and spatial modes.

Purpose of the Study:

• To demonstrate spatially resolved generalized measurements for arbitrary vector vortex beams.
• To characterize vector light modes in a single-shot measurement.
• To improve data acquisition speed compared to existing tomography techniques.

Main Methods:

• Utilizing positive operator valued measurements (POVMs).
• Implementing an interferometric setup for single-shot characterization.
• Performing spatially resolved generalized measurements.

Main Results:

• Successful characterization of arbitrary vector vortex beams.
• Demonstrated single-shot measurement capability.
• Achieved superior data acquisition speed over conventional Stokes tomography.

Conclusions:

• Spatially resolved generalized measurements provide an efficient method for vector vortex beam characterization.
• The technique has potential benefits for high-speed communication protocols.
• This method can be applied to dynamic polarization microscopy of materials.