Current Distribution in Thin Superconducting Films
RHODERICK, E. H.; WILSON, E. M.
Журнал:
Nature
Дата:
1962
Аннотация:
THE problem of the current distribution in a thin superconducting film has recently been discussed by several authors<sup>1,2</sup>. Although the solution of the London equations for a thin rectangular strip carrying a current cannot be given in a simple analytical form, W. A. Bowers (unpublished, quoted by Glover<sup>3</sup>) has given an approximate solution for the case in which the film thickness dis comparable with the superconducting penetration depth λ, and the width w is greater than λ so that wd â « λ<sup>2</sup>. Assuming the current density to be constant through the thickness of the film, Bowers finds that the current density at a distance x from the centre of the strip is given by J(x) = J(0){1 â (2x/w)<sup>2</sup>}<sup>â ½</sup> provided x is not too near w/2, while near the edge the solution has the form : where a is a constant of the order of unity. The two solutions are joined at a point distant aλ<sup>2</sup>/2d from the edge of the film, so that : The solution for the central region is the same as the charge distribution on the surface of a thin conducting strip in the analogous electrostatic problem.
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