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(PD)2: physics-driven phase diversity neural network for wavefront sensing
Optics Express
|August 14, 2026
Summary
This study introduces a novel physics-driven, self-supervised neural network for phase-diversity wavefront sensing. It accurately reconstructs wavefront aberrations using focused and defocused images, improving robustness and accuracy without extensive labeled data.
Area of Science:
- Optics and Photonics
- Computational Imaging
- Machine Learning Applications
Background:
- Phase-diversity wavefront sensing is crucial for aberration correction but is a complex nonlinear inverse problem.
- Existing iterative methods struggle with noise and initialization, while data-driven approaches require extensive labeled datasets and face simulation-to-real gaps.
Purpose of the Study:
- To develop a physics-driven, self-supervised neural network for point-source phase-diversity wavefront sensing.
- To overcome limitations of conventional and purely data-driven methods by utilizing image consistency under a forward physical model.
Main Methods:
- A novel physics-driven, self-supervised neural network architecture was developed.
- The method leverages image consistency between focused and defocused observations based on the forward physical model.
- No large amounts of real-world labeled data are required for training.
Main Results:
- The proposed method demonstrates improved accuracy and robustness compared to L-BFGS and a purely data-driven baseline.
- In ideal clean simulations, the wavefront residual RMS was reduced to 0.0058λ.
- A high success rate of 98.40% was achieved under evaluated settings.
Conclusions:
- The physics-driven, self-supervised neural network offers a robust and accurate solution for phase-diversity wavefront sensing.
- This approach effectively addresses the challenges of high dimensionality, noise sensitivity, and data requirements in wavefront reconstruction.

