Transient Magnetic Shielding of a Planar Conductive Screen in the Presence of a Parallel Circular Loop Carrying Pulsed Current

Abstract

An analytical time-domain analysis is presented for the canonical shielding configuration, i.e., a circular loop carrying pulsed current in the presence of a parallel planar conductive screen. First, the known frequency-domain transfer function based on the transmission line analog method is converted into a kind of standard form. Then, the existing technique is adopted to implement the inverse Laplace transform of the standard form, which directly produces the time-domain solution in the case of delta-type current excitation. The suitability range of the analytical solution is illuminated using several approximations. Especially, a pulsed current with finite duration can be modeled as a corresponding delta-type one provided that the duration is much shorter than the diffusion time. Numerical results are presented to validate the effectiveness of the analytical solution.