56 citations · 510 across the 96 of their papers we have counts for
6 papers · 1 filter
A coefficient inverse problem with a single measurement of phaseless scattering data
Michael V. Klibanov, Dinh-Liem Nguyen, Loc H. Nguyen
This paper is concerned with a numerical method for a 3D coefficient inverse problem with phaseless scattering data. These are multi-frequency data generated by a single direction…
Convexification of Restricted Dirichlet-to-Neumann Map
Michael V. Klibanov
By our definition, "restricted Dirichlet-to-Neumann map" (DN) means that the Dirichlet and Neumann boundary data for a Coefficient Inverse Problem (CIP) are generated by a point so…
Imaging of buried objects from multi-frequency experimental data using a globally convergent inversion method
Dinh-Liem Nguyen, Michael V. Klibanov, Loc H. Nguyen +1
This paper is concerned with the numerical solution to a 3D coefficient inverse problem for buried objects with multi-frequency experimental data. The measured data, which are asso…
Globally strictly convex cost functional for a 1-D inverse medium scattering problem with experimental data
Michael V. Klibanov, Aleksandr E. Kolesov, Lam Nguyen +1
A new numerical method is proposed for a 1-D inverse medium scattering problem with multi-frequency data. This method is based on the construction of a weighted cost functional. Th…
Uniqueness of a 3-D coefficient inverse scattering problem without the phase information
Michael V. Klibanov, Vladimir G. Romanov
We use a new method to prove uniqueness theorem for a coefficient inverse scattering problem without the phase information for the 3-D Helmholtz equation. We consider the case when…
An inverse problem without the phase information
Michael V. Klibanov
We prove a new uniqueness theorem for an inverse scattering problem without the phase information for the 3-D Helmholtz equation. The spatially distributed dielectric constant is t…