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Narrow superconducting thin films cooled in a perpendicular low magnetic field (B⊥) are observed to trap magnetic flux at densities much less than the ρi0 = B⊥ /φi0 observed for superconducting films of large dimensions. Significant flux trapping does not occur until a threshold field B0⊥ is reached. B0⊥ increases with decreasing linewidth and with increasing distance from a superconducting ground plane.
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Washington et al. (1982) studied this question.
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