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Robust three-frame random phase-shifting interferometry based on dynamic mode decomposition method.

Ligeng Wang, Hangying Zhang, Kai Meng

|December 19, 2025

Summary

This summary is machine-generated.

This study introduces a novel three-frame random phase-shifting algorithm using dynamic mode decomposition (DMD) for accurate phase demodulation. The method reduces frame requirements and enhances robustness against noise and intensity variations.

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Area of Science:

Optics and Photonics
Signal Processing
Data Analysis

Background:

Dynamic Mode Decomposition (DMD) shows potential for phase demodulation applications.
Current DMD-based phase demodulation typically requires a minimum of four interferogram frames with fixed phase shifts.

Purpose of the Study:

To propose a novel three-frame random phase-shifting algorithm based on dynamic mode decomposition.
To reduce the number of required interferogram frames for phase demodulation.
To enable phase demodulation with randomly shifted interferograms.

Main Methods:

Elimination of background patterns via differencing and normalization.
Algebraic operations on processed frames to create a new sequence of phase-shifted interferograms.
Phase extraction using dynamic mode decomposition on the generated sequence.

Main Results:

Successfully reduced the minimum frame requirement from four to three.
Enabled phase demodulation for randomly phase-shifted interferograms.
Demonstrated high phase estimation accuracy and robustness against noise, fringe number variations, and intensity fluctuations.

Conclusions:

The proposed three-frame random phase-shifting algorithm effectively utilizes dynamic mode decomposition for phase demodulation.
This method offers a more efficient and robust alternative to existing techniques, particularly in scenarios with limited frames or random phase shifts.