dorsal/arxiv
View SchemaReconstruction of spatially inhomogeneous dielectric tensors via optical tomography
| Authors | Hanno Hammer, William R. B. Lionheart |
|---|---|
| Categories | |
| ArXiv ID | physics/0406053 |
| URL | https://arxiv.org/abs/physics/0406053 |
| DOI | 10.1364/JOSAA.22.000250 |
| Journal | JOSA A, Volume 22, Issue 2, 250-255, Feb. 2005 |
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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"abstract": "A method to reconstruct weakly anisotropic inhomogeneous dielectric tensors\ninside a transparent medium is proposed. The mathematical theory of Integral\nGeometry is cast into a workable framework which allows the full determination\nof dielectric tensor fields by scalar Radon inversions of the polarization\ntransformation data obtained from six planar tomographic scanning cycles.\nFurthermore, a careful derivation of the usual equations of integrated\nphotoelasticity in terms of heuristic length scales of the material\ninhomogeneity and anisotropy is provided, making the paper a self-contained\naccount about the reconstruction of arbitrary three-dimensional, weakly\nanisotropic dielectric tensor fields.",
"arxiv_id": "physics/0406053",
"authors": [
"Hanno Hammer",
"William R. B. Lionheart"
],
"categories": [
"physics.optics",
"cond-mat.mtrl-sci",
"physics.ins-det",
"quant-ph"
],
"doi": "10.1364/JOSAA.22.000250",
"journal_ref": "JOSA A, Volume 22, Issue 2, 250-255, Feb. 2005",
"title": "Reconstruction of spatially inhomogeneous dielectric tensors via optical tomography",
"url": "https://arxiv.org/abs/physics/0406053"
},
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