Borcea, Liliana; Ortiz, Michael A multiscattering series for impedance tomography in layered media. (English) Zbl 0926.35156 Inverse Probl. 15, No. 2, 515-540 (1999). Summary: We introduce an inversion algorithm for tomographic images of layered media. The algorithm is based on a multiscattering series expansion of the Green function that, unlike the Born series, converges unconditionally. Our inversion algorithm obtains images of the medium that improves iteratively as we use more and more terms in the multiscattering series. We present the derivation of the multiscattering series, formulate the inversion algorithm and demonstrate its performance through numerical experiments. Cited in 1 Document MSC: 35R30 Inverse problems for PDEs 35J25 Boundary value problems for second-order elliptic equations 86A22 Inverse problems in geophysics 78A45 Diffraction, scattering 78A40 Waves and radiation in optics and electromagnetic theory 78M25 Numerical methods in optics (MSC2010) 92C55 Biomedical imaging and signal processing Keywords:electrical conductivity of a layered medium; applied electric currents; measured electric voltages on the boundary; inversion algorithm for tomographic images of layered media; series expansion of the Green function; multiscattering series PDFBibTeX XMLCite \textit{L. Borcea} and \textit{M. Ortiz}, Inverse Probl. 15, No. 2, 515--540 (1999; Zbl 0926.35156) Full Text: DOI Link