Calculation of the magnetization of anisotropic superconductors with cylindrical geometry in transverse fields

Abstract

Abstract Expressions for the magnetization of a monolithic superconductor with anisotropic critical currents and a cylindrical geometery have been found. A transverse field geometry, along with field independent critical currents are assumed. Additionally, we restrict ourselves to the case of full field penetration, and thus demagnetization effects are ignored. Similarly to the calculation for the slab geometry, two regimes are found; (1) sample length is greater than a certain “transfer length”, and (2) sample length is shorter than the transfer length. Analytical expressions for the magnetization in both regimes, as well as linear approximations to these expressions, are found. These results are directly compared to the equations used to describe the finite slab geometry.