Analytic expressions for critical-state ac susceptibility of rectangular superconducting films in perpendicular magnetic field

D. X. Chen, C. Navau, N. Del-Valle, A. Sanchez

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19 Citations (Scopus)

Abstract

A set of analytic expressions for the critical-state magnetization and ac susceptibility χ′ - j χ″ curves of rectangular superconducting films of arbitrary aspect ratio in perpendicular field is obtained. They are formulated based on the exact/accurate high/low-field limits for rectangular films together with the exact analytic formulas for thin circular disks. Thus, the accuracy of the expressions is very high in high and low fields. At a characteristic intermediate field amplitude, where χ″ takes its maximum, the error is checked by direct numerical calculations to be well below 1%. Thus, the provided expressions can be conveniently and satisfactorily used for practical and theoretical researches of superconducting materials, such as coated conductors. © 2009 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)89-94
JournalPhysica C: Superconductivity and its Applications
Volume470
Issue number1
DOIs
Publication statusPublished - 1 Jan 2010

Keywords

  • Coated conductors
  • Critical-state model
  • Superconducting films
  • Susceptibility

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