Critical state of periodically arranged superconducting-strip lines in perpendicular fields

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Abstract
Analytical investigations of the critical state are carried out for strip-array systems, in which thin superconducting strip lines parallel to the xy plane are arranged periodically. Two types of strip-array systems are considered: a stack of strip lines piled along the z axis and an array of strip lines aligned in the xy plane. The results show that the relations between the magnetic field H and the current density J of strip-array systems in an applied magnetic field perpendicular to the strips can be transformed to the H-J relation for an isolated strip line. Therefore, H and J of strip-array systems in the Meissner state and in the Bean’s critical state can be easily derived by transforming the H and J for an isolated strip line. Magnetization properties and interactions in multiple strip lines are discussed. © 1996 The American Physical Society.