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Reconstruction of spatially inhomogeneous dielectric tensors via optical tomography

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abstract

A method to reconstruct weakly anisotropic inhomogeneous dielectric tensors inside a transparent medium is proposed. The mathematical theory of Integral Geometry is cast into a workable framework which allows the full determination of dielectric tensor fields by scalar Radon inversions of the polarization transformation data obtained from six planar tomographic scanning cycles. Furthermore, a careful derivation of the usual equations of integrated photoelasticity in terms of heuristic length scales of the material inhomogeneity and anisotropy is provided, making the paper a self-contained account about the reconstruction of arbitrary three-dimensional, weakly anisotropic dielectric tensor fields.

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2026 1

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UNVERDICTED 1

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  • Full-component reconstruction of three-dimensional fluid stress tensors physics.flu-dyn · 2026-05-22 · unverdicted · none · ref 37 · internal anchor

    U-FlowPET reconstructs the complete 3D fluid stress tensor from path-integrated optical measurements by integrating photoelastic tomography with fluid mechanics governing equations in an unsupervised manner.