Spatial resolution limit of single pixel imaging of complex light fields.

Area of Science:

• Optics and Photonics
• Computational Imaging

Background:

• Complex light fields possess both amplitude and phase information.
• Accurate measurement of these fields is crucial for various applications.
• Current methods involve sampling with orthogonal bases and interferometric measurements.

Purpose of the Study:

• To investigate the impact of sampling resolution on the measurement of complex light fields.
• To demonstrate the phenomenon of cross talk between phase and amplitude reconstruction.
• To analyze the relationship between spatial resolution of the sampling basis and phase information.

Main Methods:

• Utilizing orthogonal sampling bases (canonical, Hadamard) for light field analysis.
• Performing single-pixel interferometric measurements of focused modes.
• Encoding arbitrary amplitude and phase profiles using a spatial light modulator.
• Comparing experimental measurements with computational simulations.

Main Results:

• Demonstrated that a spatial resolution of the sampling basis coarser than the phase resolution leads to amplitude-phase cross talk.
• Observed phase information appearing within the reconstructed amplitude measurements.
• Validated the phenomenon through comparative analysis of experimental data and simulations.

Conclusions:

• The spatial resolution of the sampling basis is a critical parameter in complex light field metrology.
• Coarser sampling can introduce artifacts, specifically phase information into amplitude measurements.
• Understanding and mitigating this cross talk is essential for accurate light field reconstruction.