On the multishell cylindrical magnetostatic shields: Analytical and numerical approach

TLDR: In this paper, one and two shells magneto static cylindrical shields are considered and algebraic systems of equations have been obtained using the interface conditions at the discontinuity surfaces between the media.

Abstract: In this paper one and two shells magneto static cylindrical shields are considered. Using the interface conditions at the discontinuity surfaces between the media, algebraic systems of equations have been obtained. Solution of the systems offers the value of the magneto static field inside the shields. Structures of the system's matrices were analyzed and their sparsity patterns was visualized. 3D Finite element simulations of shields with different lengths were performed and comparisons with analytical results were done. Good agreement, among the shields efficiencies for different lengths and the analytical value, were obtained.