Generic local uniqueness and stability in polarization tomography

DOI10.1007/s12220-011-9245-5zbMath1260.35252OpenAlexW2036446643MaRDI QIDQ1935480

Sean F. Holman

Publication date: 18 February 2013

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://www.research.manchester.ac.uk/portal/en/publications/generic-local-uniqueness-and-stability-in-polarization-tomography(8f68acd7-2c40-4e6b-a902-37f369e868cf).html

zbMATH Keywords

inverse problemsdifferential geometrypolarization tomography

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Inverse problems for PDEs (35R30) General theory of differentiable manifolds (58A99) Inverse problems for integral equations (45Q05)

Related Items (8)

Lens rigidity with partial data in the presence of a magnetic field ⋮ Geodesic ray transform with matrix weights for piecewise constant functions ⋮ Scanning electron diffraction tomography of strain ⋮ Microlocal inversion of a 3-dimensional restricted transverse ray transform on symmetric tensor fields ⋮ Generalized V-line transforms in 2D vector tomography ⋮ The attenuated geodesic ray transform on tensors: generic injectivity and stability ⋮ Support theorems for the transverse ray transform of tensor fields of rank \(m\) ⋮ Mixed ray transform on simple 2-dimensional Riemannian manifolds

Cites Work

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• The boundary rigidity problem in the presence of a magnetic field
• Recovering a tensor on the boundary from polarization and phase measurements
• On the problem of polarization tomography: I
• Extension of C ∞ Functions Defined in a Half Space
• Integral geometry of tensor fields on a class of non-simple Riemannian manifolds

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