Single measurement experimental data for an inverse medium problem inverted by a multi-frequency globally convergent numerical method

Aleksandr E. Kolesov, Michael V. Klibanov, Loc H. Nguyen, Dinh Liem Nguyen, Nguyen T. Thành

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

The recently developed globally convergent numerical method for an inverse medium problem with the data resulting from a single measurement, proposed in [23], is tested on experimental data. The data were originally collected in the time domain, whereas the method works in the frequency domain with the multi-frequency data. Due to a significant amount of noise in the measured data, a straightforward application of the Fourier transform to these data does not work. Hence, we develop a heuristic data preprocessing procedure, which is described in the paper. The preprocessed data are used as the input for the inversion algorithm. Numerical results demonstrate a good accuracy of the reconstruction of both refractive indices and locations of targets.

Original languageEnglish (US)
Pages (from-to)176-196
Number of pages21
JournalApplied Numerical Mathematics
Volume120
DOIs
StatePublished - Oct 2017

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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