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Measuring Geometric Phase without Interferometry.

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Summary
This summary is machine-generated.

This study introduces a simple method to measure the geometric phase of light beams without interferometry. The technique determines Gouy and Pancharatnam-Berry phases from intensity patterns after mode transformation.

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Area of Science:

  • Optics and Photonics
  • Quantum Optics
  • Beam Propagation

Background:

  • Geometric phase, including Gouy and Pancharatnam-Berry phases, is crucial for understanding light beam properties.
  • Traditional methods for phase measurement often rely on complex interferometric setups.

Purpose of the Study:

  • To propose a simple, noninterferometric approach for probing the geometric phase of structured Gaussian beams.
  • To demonstrate the determination of both Gouy and Pancharatnam-Berry phases using intensity distributions.

Main Methods:

  • A noninterferometric technique is employed.
  • A part of the structured Gaussian beam is covered at the initial plane.
  • Intensity distributions are analyzed following a mode transformation.

Main Results:

  • Both Gouy and Pancharatnam-Berry phases are successfully determined from the intensity distribution.
  • Trajectories of intensity distribution centroids mimic ray optics.
  • An optical analogue of Ehrenfest's theorem is revealed, linked to geometric phase changes.

Conclusions:

  • The proposed method offers a straightforward way to measure geometric phases in optical beams.
  • The findings provide insights into the relationship between beam propagation, geometric phase, and classical mechanics analogues.