Blind Backscattering Experimental Data Collected in the Field and an Approximately Globally Convergent Inverse Algorithm
نویسندگان
چکیده
An approximately globally convergent numerical method for a 1-D Coefficient Inverse Problem for a hyperbolic PDE is applied to image dielectric constants of targets from blind experimental data. The data were collected in the field by the Forward Looking Radar of the US Army Research Laboratory. A posteriori analysis has revealed that computed and tabulated values of dielectric constants are in a good agreement. Convergence analysis is presented.
منابع مشابه
Imaging of Buried Objects from Experimental Backscattering Time-Dependent Measurements Using a Globally Convergent Inverse Algorithm
We consider the problem of imaging of objects buried under the ground using backscattering experimental time dependent measurements generated by a single point source or one incident plane wave. In particular, we estimate dielectric constants of those objects using the globally convergent inverse algorithm of Beilina and Klibanov. Our algorithm is tested on experimental data collected using a m...
متن کاملReconstruction of the Refractive Index from Experimental Backscattering Data Using a Globally Convergent Inverse Method
The problem to be studied in this work is within the context of coefficient identification problems for the wave equation. More precisely, we consider the problem of reconstruction of the refractive index (or equivalently, the dielectric constant) of an inhomogeneous medium using one backscattering boundary measurement. The goal of this paper is to analyze the performance of a globally converge...
متن کاملGlobally convergent and adaptive finite element methods in imaging of buried objects from experimental backscattering radar measurements
We consider a two-stage numerical procedure for imaging of objects buried in dry sand using timedependent backscattering experimental radar measurements. These measurements are generated by a single point source of electric pulses and are collected using a microwave scattering facility which was built at the University of North Carolina at Charlotte. Our imaging problem is formulated as the inv...
متن کاملPicosecond scale experimental verification of a globally convergent algorithm for a coefficient inverse problem
A globally convergent algorithm of the first and third authors for a 3D hyperbolic coefficient inverse problem is verified on experimental data measured in the picosecond scale regime. Quantifiable images of dielectric abnormalities are obtained. The total measurement timing of a 100 pico-seconds pulse for one detector location was 1.2 nano-second with 20 pico-seconds (0.02 nano-second) time st...
متن کاملReconstruction of dielectrics from experimental data via a hybrid globally convergent/adaptive inverse algorithm
The validity of a synthesis of a globally convergent numerical method with the adaptive FEM technique for a coefficient inverse problem is verified on time resolved experimental data. Refractive indices, locations and shapes of dielectric abnormalities are accurately imaged.
متن کامل