TY - JOUR
T1 - Reconstruction of spatially inhomogeneous dielectric tensors through optical tomography
AU - Hammer, Hanno
AU - Lionheart, William R B
PY - 2005
Y1 - 2005
N2 - 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 that 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, resulting in a self-contained account about the reconstruction of arbitrary three-dimensional, weakly anisotropic dielectric tensor fields.
AB - 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 that 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, resulting in a self-contained account about the reconstruction of arbitrary three-dimensional, weakly anisotropic dielectric tensor fields.
U2 - 10.1364/JOSAA.22.000250
DO - 10.1364/JOSAA.22.000250
M3 - Article
C2 - 15717553
SN - 1084-7529
VL - 22
SP - 250
EP - 255
JO - J. Opt. Soc. Amer. A
JF - J. Opt. Soc. Amer. A
IS - 2
ER -