Hysteretic ac losses and susceptibility of thin superconducting disks

John R. Clem; Alvaro Sanchez

doi:10.1103/PhysRevB.50.9355

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Hysteretic ac losses and susceptibility of thin superconducting disks

John R. Clem, Alvaro Sanchez

DOI 10.1103/PhysRevB.50.9355 · Physical Review B

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Abstract

We calculate hysteretic magnetization curves and ac-susceptibility components χn′ and χn″ for n=1, 3, and 5 for a type-II superconducting thin circular disk subjected to a low-frequency oscillating applied field, extending previous approaches for calculating hysteretic current-density and magnetic flux-density profiles in the critical state. We also present limiting expressions for χ′=χ1′ and χ″=χ1″ for both small and large values of the ac field amplitude, and we show how χ″ is simply related to the ac loss per cycle per unit volume. Finally, a comparison is made between our results and those obtained for slab and strip geometries.