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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 22, Iss. 2 — Feb. 1, 2005
  • pp: 250–255

Reconstruction of spatially inhomogeneous dielectric tensors through optical tomography

Hanno Hammer and William R. B. Lionheart  »View Author Affiliations


JOSA A, Vol. 22, Issue 2, pp. 250-255 (2005)
http://dx.doi.org/10.1364/JOSAA.22.000250


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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 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

OCIS Codes
(080.2710) Geometric optics : Inhomogeneous optical media
(100.3190) Image processing : Inverse problems
(160.1190) Materials : Anisotropic optical materials

History
Original Manuscript: June 10, 2004
Manuscript Accepted: August 13, 2004
Published: February 1, 2005

Citation
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)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-2-250

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