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Reconstruction of spatially inhomogeneous dielectric tensors via optical tomography

Hanno Hammer·William R. B. Lionheart
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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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physics.opticscond-mat.mtrl-sciphysics.ins-detquant-ph

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Hanno Hammer, William R. B. Lionheart. 2004-06-29. Reconstruction of spatially inhomogeneous dielectric tensors via optical tomography. https://doi.org/10.1364/josaa.22.000250

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