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.
© 2005 Optical Society of America
Original Manuscript: June 10, 2004
Manuscript Accepted: August 13, 2004
Published: February 1, 2005
Hanno Hammer and William R. B. Lionheart, "Reconstruction of spatially inhomogeneous dielectric tensors through optical tomography," J. Opt. Soc. Am. A 22, 250-255 (2005)