Here we show how Electrical Impedance Tomography can be used to efficiently detect interior jumps of the conductivity. Analysis of the complex geometrical optics solutions makes it possible to exploit an underlying complex principal type structure of the problem. We show that the leading term in a Neumann series is an invertible generalized Radon transform of the conductivity. Numerical simulation indicate that this approach effectively for detects inclusions within inclusions via EIT.

This presentation is part of Minisymposium “MS20 - Advances in Reconstruction Methods for Electrical Impedance Tomography (3 parts)”
organized by: Melody Alsaker (Gonzaga University) , Samuli Siltanen (University of Helsinki) .

Authors:

Matti Lassas (University of Helsinki)

Allan Greenleaf (University of Rochester)

Samuli Siltanen (University of Helsinki)

Gunther Uhlmann (University of Washington)

Matteo Santacesaria (University of Helsinki)

Keywords:

computed tomography, inverse problems, partial differential equation models