3 citations · 6 across the 5 of their papers we have counts for
6 papers
Recovery of piecewise smooth density and Lamé parameters from high-frequency exterior Cauchy data
Sombuddha Bhattacharyya, Maarten V. de Hoop, Vitaly Katsnelson +1
We consider an isotropic elastic medium occupying a bounded domain D whose density and Lamé parameters are piecewise smooth. In the elastic wave initial value inverse problem, we a…
Recovery of wave speeds and density of mass across a heterogeneous smooth interface from acoustic and elastic wave reflection operators
Sombuddha Bhattacharyya, Maarten V. de Hoop, Vitaly Katsnelson +1
We revisit the problem of recovering wave speeds and density across a curved interface from reflected wave amplitudes. Such amplitudes have been exploited for decades in (explorati…
Recovery of discontinuous Lamé parameters from local dynamic boundary data
Peter Caday, Maarten V. de Hoop, Vitaly Katsnelson +1
Consider an isotropic elastic medium whose Lamé parameters are piecewise smooth. In the elastic wave initial value inverse problem, we are given the solutio…
Reconstruction of piecewise smooth wave speeds using multiple scattering
Peter Caday, Maarten V. de Hoop, Vitaly Katsnelson +1
Let be a piecewise smooth wave speed on , unknown inside a domain . We are given the solution operator for the scalar wave equation , bu…
Time reversal method for thermoacoustic acoustic tomography in elastic media: convergence with sharp observation time
Vitaly Katsnelson, Linh V. Nguyen
In this article, we consider the inverse source problem arising in photoacoustic tomography in elastic media. We show that the time reversal method, proposed by Tittelfitz [Inverse…
Spectral rigidity for spherically symmetric manifolds with boundary
Maarten V. de Hoop, Joonas Ilmavirta, Vitaly Katsnelson
We prove a trace formula for three-dimensional spherically symmetric Riemannian manifolds with boundary which satisfy the Herglotz condition: The wave trace is singular precisely a…