Reconstruction of constant concentrations using the system matrix approach

In Magnetic Particle Imaging (MPI) the relation between the measurement signal and the particle distribution can be described by the so-called system matrix [1]. For the 1D case assuming ideal magnetic fields and ideal particles with a step function as magnetization response, the single system function components can be represented by Chebyshev polynomials [2]. In this case, the particle distribution can be reconstructed using a Chebyshev transformation. But since the homogenous part is stored in the excitation frequency component which is filtered out in typical scanner setups, it is not possible to reconstruct a particle distribution which is constant over the area reached by the Field-Free-Point (FFP-area). In this work the reconstruction of a constant particle distribution overlapping the FFP-area using the system matrix approach is evaluated by a 2D simulation study.