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Convexification-based globally convergent numerical method for a 1D coefficient inverse problem with experimental data
Michael V. Klibanov, Thuy T. Le, Loc H. Nguyen +2
To compute the spatially distributed dielectric constant from the backscattering data, we study a coefficient inverse problem for a 1D hyperbolic equation. To solve the inverse pro…
Convexification inversion method for nonlinear SAR imaging with experimentally collected data
M. V. Klibanov, V. A. Khoa, A. V. Smirnov +4
This paper is concerned with the study of a version of the globally convergent convexification method with direct application to synthetic aperture radar (SAR) imaging. Results of…
An inverse problem of a simultaneous reconstruction of the dielectric constant and conductivity from experimental backscattering data
Vo Anh Khoa, Grant W. Bidney, Michael V. Klibanov +4
This report extends our recent progress in tackling a challenging 3D inverse scattering problem governed by the Helmholtz equation. Our target application is to reconstruct dielect…
Convexification for an Inverse Problem for a 1D Wave Equation with Experimental Data
Alexey Smirnov, Michael Klibanov, Anders Sullivan +1
The forward problem here is the Cauchy problem for a 1D hyperbolic PDE with a variable coefficient in the principal part of the operator. That coefficient is the spatially distribu…
Convexification and experimental data for a 3D inverse scattering problem with the moving point source
Vo Anh Khoa, Grant W. Bidney, Michael V. Klibanov +4
Inverse scattering problems of the reconstructions of physical properties of a medium from boundary measurements are substantially challenging ones. This work aims to verify the pe…