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We characterize the non-uniqueness in the inverse problem for the stationary transport model, in which the absorption a and the scattering coefficient k of the media are to be recovered from theâ€¦ (More)

We study the inverse conductivity problem of how to reconstruct an isotropic electrical conductivity distribution Î³ in an object from static electrical measurements on the boundary of the object. Weâ€¦ (More)

- Guillaume Bal, Alexandru Tamasan
- SIAM J. Math. Analysis
- 2007

Abstract. This paper proposes an iterative technique to reconstruct the source term in transport equations, which account for scattering effects, from boundary measurements. In the two-dimensionalâ€¦ (More)

For anisotropic attenuating media, the albedo operator determines the scattering and the attenuating coefficients up to a gauge transformation. We show that such a determination is stable.

In the present dissertation, we characterize the range of the attenuated Radon transform of zero, one, and two tensor fields, supported in strictly convex set. The approach is based on a Hilbertâ€¦ (More)

- Adrian Nachman, Alexandru Tamasan, Johann Veras
- SIAM Journal of Applied Mathematics
- 2016

We consider the inverse problem of recovering an isotropic electrical conductivity from interior knowledge of the magnitude of one current density field generated by applying current on a set ofâ€¦ (More)

- Adrian Nachman, Alexandru Tamasan, Alexandre Timonov
- SIAM Journal of Applied Mathematics
- 2010

We consider the problem of recovering a sufficiently smooth isotropic conductivity from interior knowledge of the magnitude of the current density field |J | generated by an imposed voltage potentialâ€¦ (More)

- Amir Moradifam, Adrian Nachman, Alexandru Tamasan
- SIAM J. Math. Analysis
- 2012

We consider the problem of recovering an isotropic conductivity outside some perfectly conducting or insulating inclusions from the interior measurement of the magnitude of one current density fieldâ€¦ (More)

- Andre Beckus, Alexandru Tamasan, A Dogariu, Ayman F. Abouraddy, George K. Atia
- Journal of the Optical Society of America. Aâ€¦
- 2018

We consider an inverse source problem for partially coherent light propagating in the Fresnel regime. The data are the coherence of the field measured away from the source. The reconstruction isâ€¦ (More)

In this paper we reconstruct convection coefficients from boundary measurements. We reduce the Beals and Coifman formalism from a linear first order system to a formalism for the âˆ‚-equation.