Reconstruction from blind experimental data for an inverse problem for a hyperbolic equation

Abstract

We consider the problem of reconstruction of dielectrics from blind backscattered experimental data. Experimental data were collected by a device, which was built at University of North Carolina at Charlotte. This device sends electrical pulses into the medium and collects the time resolved backscattered data on a part of a plane. The spatially distributed dielectric constant ${\epsilon }_r(\mathbf{x}),\mathbf{x}\in {\mathbb{R}}^3$ is the unknown coefficient of a wave-like PDE. This coefficient is reconstructed from those data in blind cases. To do this, a globally convergent numerical method is used.

27 pages

Cited by in corpus (3)

• Nanostructures imaging via numerical solution of a 3-d inverse scattering problem without the phase information
• Globally strictly convex cost functional for an inverse parabolic problem
• Optimization approach for the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions from limited observations