Series Solution and Sensitivity Analysis of Central Disc-Shaped Objects in Electrical Impedance Tomography

Electrical Impedance Tomography (EIT) is a non-intrusive imaging technique applied in various domains, such as medical imaging, process industries, and geophysics. Estimating the diameter of the air core in a Hydrocyclone is one of the applications of EIT in the process industry. Existing reconstruction algorithms only provide a diffuse reconstruction. Motivated by this, we develop fundamental sensitivity estimates for reconstructing central disc-shaped objects in EIT. We calculate the derivative of the voltages on the electrodes as a function of the radius of central disc-shaped phantoms and compare the theoretical findings with finite element method (FEM) results. We find that the sensitivity (i.e., the derivative of voltages to the radius of the conductivity disc) calculated through our analysis matches the FEM results and is higher for larger radii.