Reconstructing small perturbations in electrical admittivity at low frequencies
Abbreviated Journal Title
electrical impedance tomography; small perturbation; frequency; differential; INVERSE CONDUCTIVITY PROBLEM; BOUNDARY-VALUE PROBLEM; D-BAR METHOD; IMPEDANCE TOMOGRAPHY; GLOBAL UNIQUENESS; PLANE; FEASIBILITY; ALGORITHM; Mathematics, Applied; Physics, Mathematical
We present a method to recover small perturbations from constants in electrical conductivity sigma and relative (to the air's) permittivity is an element of of a body, from electrical measurements at low frequencies at the boundary. The method is based on the asymptotic expansion of the frequency differential of the Neumann-to-Dirichlet map with respect to both frequency and perturbation size. To show its feasibility, we implement the method on two numerical experiments for a complete electrode model.
"Reconstructing small perturbations in electrical admittivity at low frequencies" (2014). Faculty Bibliography 2010s. 5575.