A forward model analysis of dielectric shimming in magnetic resonance imaging

This work evaluates a formulation of the integral equations method to model the field pertubation introduced by a dielectric material in a radiofrequency field typical to a magnetic resonance imaging experiment. The approach incorporates the inhomogeneous body model into the Green´s function. The accuracy of the Neumann series expansion is validated against the full numerical solution for different dielectric permittivities and series lengths. This framework can be used for gaining insight into the design considerations and, ultimately, can be embedded in future inverse design strategies.