1 citations · 1 across the 9 of their papers we have counts for
10 papers
Inverse Scattering for Single Photons in Quantum Optics
Giovanni Covi, Matti Lassas, Medet Nursultanov +3
We study inverse problems for a time-harmonic one-photon model describing the interaction of a single photon with a medium of stationary two-level atoms. After time-harmonic reduct…
Fixed angle inverse scattering with non-constant velocity
Lauri Oksanen, Rakesh, Mikko Salo
In this article, we study formally determined inverse problems for wave equations in the presence of a variable sound speed. We prove that by measuring the boundary data of finitel…
Semiglobal uniqueness for the Lorentzian Calderón problem
Lauri Oksanen, Rakesh, Mikko Salo
We prove uniqueness in the Lorentzian Calderón problem in a semiglobal setting, comparing a potentially large perturbation of the Minkowski metric against a small one. Our proof us…
Determination of an anisotropic perturbation in elastic inverse scattering
Matti Lassas, Shiqi Ma, Lauri Oksanen +2
We consider a linearized inverse scattering problem for elastic waves. We prove that a fully anisotropic perturbation of the elastic parameters around an isotropic and homogeneous…
On Exponential Instability of an Inverse Problem for the Wave Equation
Leonard Busch, Matti Lassas, Lauri Oksanen +1
For a time-independent potential , consider the source-to-solution operator that maps a source to the solution of in Euclidean space wit…
Rigidity in fixed angle inverse scattering for Riemannian metrics
Lauri Oksanen, Rakesh, Mikko Salo
The fixed angle inverse scattering problem for a velocity consists in determining a sound speed, or a Riemannian metric up to diffeomorphism, from measurements obtained by probing…
Rigidity in the Lorentzian Calderón problem with formally determined data
Lauri Oksanen, Rakesh, Mikko Salo
We study the Lorentzian Calderón problem, where the objective is to determine a globally hyperbolic Lorentzian metric up to a boundary fixing diffeomorphism from boundary measureme…
Inverse problems for semilinear Schrödinger equations at large frequency via polynomial resolvent estimates on manifolds
Katya Krupchyk, Shiqi Ma, Suman Kumar Sahoo +2
We study inverse boundary problems for semilinear Schrödinger equations on smooth compact Riemannian manifolds of dimensions with smooth boundary, at a large fixed frequenc…
Coefficient Determination for Non-Linear Schrödinger Equations on manifolds
Matti Lassas, Lauri Oksanen, Suman Kumar Sahoo +2
We consider an inverse problem of recovering the unknown coefficients and appearing in a time-dependent nonlinear Schrödinger equation $ (\mathrm{i} \partial_t +Δ…
Carleman estimates for geodesic X-ray transforms
Gabriel P. Paternain, Mikko Salo
In this article we introduce an approach for studying the geodesic X-ray transform and related geometric inverse problems by using Carleman estimates. The main result states that o…