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Tomography problem for the polarized-radiation transfer equation
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A. E. Kovtanyuk
Published/Copyright:
2006
In this work, an inverse problem for the time-independent vector transfer equation for polarized radiation in isotropic medium is examined. In the problem, it is required to find the attenuation factor from known solution of the equation at the medium boundary. A formula is derived that relates the Radon transform of the attenuation factor with the radiation-flux density at the boundary. The uniqueness theorem for the solution of the tomography problem is proved.
Published Online: --
Published in Print: 2006-09-01
Copyright 2006, Walter de Gruyter
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Articles in the same Issue
- Inverse doping problems for a P-N junction
- Use of numerical modelling to identify the transfer function and application to the geostatistical procedure in the solution of inverse problems in groundwater
- Newton–Lavrentiev regularization of ill-posed Hammerstein type operator equation
- Two-step regularization methods for linear inverse problems
- Tomography problem for the polarized-radiation transfer equation
- Optimal control for singular equation with nonsmooth nonlinearity
- Monotonicity based imaging methods for elliptic and parabolic inverse problems
