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Updated: Apr 20, 2026
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Simultaneous estimation of phase and phase derivative using a difference equation representation of the interference
Summary
This study introduces an efficient digital holographic interferometry method for fringe analysis. It accurately estimates interference phase using a novel difference equation approach, validated by simulations and experiments.
Area of Science:
- Optics and Photonics
- Computational Imaging
- Metrology
Background:
- Digital holographic interferometry (DHI) is crucial for precise measurements.
- Traditional fringe analysis in DHI can be computationally intensive.
- Accurate phase retrieval is essential for reliable DHI applications.
Purpose of the Study:
- To develop a computationally efficient fringe analysis technique for DHI.
- To improve the accuracy of interference phase estimation in DHI.
- To present a novel method based on difference equation representation.
Main Methods:
- Utilizing a difference equation to represent the interference field in DHI.
- Estimating the spatially varying coefficient within a constrained subspace of basis functions.
- Employing a linear estimation of the interference field followed by phase unwrapping.
Main Results:
- Accurate estimation of the interference phase derivative.
- Linear estimation of the interference field achieved.
- Successful phase estimation using a simple unwrapping algorithm.
Conclusions:
- The proposed method offers a computationally efficient and accurate approach to fringe analysis in DHI.
- The technique effectively retrieves interference phase, validated by simulation and experimental data.
- This advancement has potential applications in various metrology fields requiring high-precision measurements.
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