Electromagnetic tomography: an analytical approach to detectability limits and sensitivity maps

An analytical method is applied to the electromagnetic tomographic (EMT) system for a single cylin-drical object in a realistic EMT sensor. The exact expressions of the magnetic field distribution in a two-dimensional object space are derived. Two specific applications are presented. Firstly, the detectability of the EMT technique is described by mathematically defining and plotting the distortion ratio of the object field to the excitation field as a function of the excitation frequency or the relative object diameter. Secondly, direct mathematical expressions for sensitivity are established and sensitivity maps are plotted, which might be useful for future image reconstruction.