Reconstruction of spatially inhomogeneous dielectric tensors via optical tomography

Details Reconstruction of spatially inhomogeneous dielectric tensors via optical tomography Reconstruction of spatially inhomogeneous dielectric tensors via optical tomography

2004-06-11

arxiv.org/abs/physics/0406053v2

JOSA A, Volume 22, Issue 2, 250-255, Feb. 2005

Physics

Optics

Submitted. Section IV slightly extended

Scientific paper

10.1364/JOSAA.22.000250

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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