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Resolution-enhanced real-time Jones matrix measuring via Kramers-Kronig relations.

Yunping Qiu, Zhe Weng, Zhi-Cheng Ren

|August 13, 2025

Summary

This study introduces a new method for enhanced resolution in single-shot Jones matrix measurements using Kramers-Kronig relations. This technique improves spatial bandwidth, enabling better dynamic measurements of complex materials.

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Area of Science:

Optics and Photonics
Materials Science
Metrology

Background:

Off-axis holography is a key technique for dynamic Jones matrix measurements.
Current methods face limitations in spatial bandwidth due to spectral plane partitioning.

Purpose of the Study:

To introduce a novel resolution enhancement method for single-shot Jones matrix measurements.
To overcome the spatial bandwidth limitations of conventional off-axis holography.

Main Methods:

Utilized Kramers-Kronig relations to derive analytic functions from single intensity measurements.
Eliminated autocorrelation spectrum in off-axis interferograms.
Employed Fourier analysis for comparison.

Main Results:

Achieved a resolution enhancement factor of 2.12 compared to conventional Fourier analysis.
Successfully validated the method through optical experiments.
Demonstrated improved dynamic measurement capabilities for static and transient phenomena.

Conclusions:

The Kramers-Kronig-based method significantly enhances the space-bandwidth product in Jones matrix measurements.
This approach offers superior resolution and dynamic measurement capabilities for anisotropic samples and complex media.