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Physics-informed neural networks for diffraction tomography

Amirhossein Saba, Carlo Gigli, Ahmed B. Ayoub, Demetri Psaltis

2022Advanced Photonics58 citationsDOIOpen Access PDF

Abstract

We propose a physics-informed neural network (PINN) as the forward model for tomographic reconstructions of biological samples. We demonstrate that by training this network with the Helmholtz equation as a physical loss, we can predict the scattered field accurately. It will be shown that a pretrained network can be fine-tuned for different samples and used for solving the scattering problem much faster than other numerical solutions. We evaluate our methodology with numerical and experimental results. Our PINNs can be generalized for any forward and inverse scattering problem.

Topics & Concepts

Helmholtz equationDiffraction tomographyInverse problemHelmholtz free energyInverse scattering problemArtificial neural networkDiffractionScatteringTomographic reconstructionPhysicsComputer scienceField (mathematics)TomographyAlgorithmStatistical physicsApplied mathematicsOpticsArtificial intelligenceMathematical analysisMathematicsQuantum mechanicsBoundary value problemPure mathematicsDigital Holography and MicroscopySeismic Imaging and Inversion TechniquesGeophysical Methods and Applications
Physics-informed neural networks for diffraction tomography | Litcius