Topological derivative inversion method tested against microwave experimental data

Abstract

The Fresnel database consists of data collected from experiments where different objects are irradiated by time-harmonic electromagnetic (micro)waves. The purpose of this database is twofold, one the one hand it eases the comparison and testing of inversion methods from different research groups against the same data. On the other hand it allows the testing against experimental data to groups without access to a laboratory. Topological derivative and Topological energy based methods are powerful techniques to reconstruct objects from such experimental microwave data. They have a very low computational cost as they are one step methods. They can be computed from closed-form solutions. The quality of the reconstructions is comparable to the best of the other methods tested against the Fresnel database.