Evaluation of magnetic field’s uniformity inside electromagnetic coils using graphene

The distribution of the magnetic field in electromagnetic coils, such as those employed in magnetic resonance imaging (MRI), is evaluated in this paper, through graphene gyrotropic properties. Initially, the rotation of an incident linearly polarized plane wave, due to an infinite graphene layer, is studied theoretically via the extraction of the perpendicular, to the polarization, electric component of the transmitted wave. Moreover, the influence of the magnetic bias field strength on this component is, also, examined, indicating the eligibility of graphene to detect magnetostatic field variations. To this aim, a specific device is proposed, consisting of a high frequency source, an electric field detector, and a finite graphene sheet that differs from the infinite one of the analytical case. To quantify the distance that the gyrotropic effects are detectable, the effective region is introduced and extracted via a properly modified finite-difference time-domain (FDTD) algorithm. The featured device is verified through a setup comprising a uniform electromagnetic coil, where the generated magnetostatic field is calculated at several cross-sections of the coil and compared to actual field values. Results indicate the accuracy and sensitivity of the designed device for the unambiguous regions.