30 citations · 50 across the 11 of their papers we have counts for
10 papers · 1 filter
Inverse Boundary Problem for the Two Photon Absorption Transport Equation
Plamen Stefanov, Yimin Zhong
This work studies the inverse boundary problem for the two photon absorption radiative transport equation. We show that the absorption coefficients and scattering coefficients can…
Recovery of a cubic non-linearity in the wave equation in the weakly non-linear regime
Antônio Sá Barreto, Plamen Stefanov
We study the inverse problem of recovery a compactly supported non-linearity in the semilinear wave equation , in two and three dimensions. We probe the m…
Sampling linear inverse problems with noise
Plamen Stefanov, Samy Tindel
We study the effect of additive noise to the inversion of FIOs associated to a diffeomorphic canonical relation. We use the microlocal defect measures to measure the power spectrum…
Semiclassical sampling and discretization of certain linear inverse problems
Plamen Stefanov
We study sampling of Fourier Integral Operators at rates with fixed and a small parameter. We show that the Nyquist sampling limit of and are related by t…
The attenuated geodesic X-ray transform
Sean Holman, François Monard, Plamen Stefanov
This article deals with stability issues related to geodesic X-ray transforms, where an interplay between the (attenuation type) weight in the transform and the underlying geometry…
Modulated Luminescent Tomography
Plamen Stefanov, Wenxiang Cong, Ge Wang
We propose and analyze a mathematical model of Modulated Luminescent Tomography. We show that when single X-rays or focused X-rays are used as an excitation, the problem is similar…
Stability of Coupled-Physics Inverse Problems with internal measurements
Carlos Montalto, Plamen Stefanov
In this paper, we develop a general approach to prove stability for the non linear second step of hybrid inverse problems. We work with general functionals of the form $σ|\nabla u|…
The Identification Problem for the attenuated X-ray transform
Plamen Stefanov
We study the problem of recovery both the attenuation and the source in the attenuated X-ray transform in the plane. We study the linearization as well. It turns out that t…
Stability of the Gauge Equivalent Classes in Inverse Stationary Transport in Refractive Media
Stephen McDowall, Plamen Stefanov, Alex Tamasan
In the inverse stationary transport problem through anisotropic attenuating, scattering, and refractive media, the albedo operator stably determines the gauge equivalent class of t…
Stability of the gauge equivalent classes in stationary transport
Stephen McDowall, Plamen Stefanov, Alexandru Tamasan
For anisotropic attenuating media, the albedo operator determines the scattering and the attenuation coefficients up to a gauge transformation. We show that such a determination is…