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Phase retrieval algorithm in spatial phase-shift shearography based on dynamic mode decomposition.

Leya Robert, Rishikesh Kulkarni

|August 12, 2025

Summary

This summary is machine-generated.

A new dynamic mode decomposition (DMD) algorithm improves phase retrieval in spatial phase-shift shearography. This non-destructive testing method offers better performance than traditional techniques, especially for complex spectral data.

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Area of Science:

Optics and Photonics
Non-Destructive Testing
Image Processing

Background:

Spatial phase-shift shearography is a key non-destructive technique.
Accurate phase retrieval from shearograms is crucial for measurement.
Traditional Fourier Transform (FT)-based methods face challenges like spectral overlap.

Purpose of the Study:

To propose and validate a novel Dynamic Mode Decomposition (DMD)-based algorithm for phase retrieval.
To address the limitations of existing phase extraction methods in shearography.
To demonstrate the practical applicability of the DMD algorithm in spatial phase-shift shearography.

Main Methods:

Development of a DMD-based algorithm for phase retrieval.
Experimental validation of the algorithm using spatial phase-shift shearography.
Comparison of the DMD algorithm with established FT and Stoilov algorithms.

Main Results:

The DMD-based algorithm successfully retrieves phase information in spatial phase-shift shearography.
The algorithm demonstrates robust performance across varying aperture sizes and shear amounts.
The DMD approach shows advantages over FT and Stoilov methods, particularly in managing spectral overlap.

Conclusions:

The proposed DMD algorithm is a viable and effective alternative for phase retrieval in spatial phase-shift shearography.
This method enhances the accuracy and applicability of non-destructive testing using shearography.
The DMD technique offers practical advantages for analyzing dynamic events and complex spectral data.