Current Distribution in a Thin-Film Superconducting Strip Transmission Line

In the long-wavelength limit, the current distribution in a thin-film superconducting strip transmission line can be described by an inhomogeneous Fredholm equation of the second kind. By considering a fluxoid conservation derivation of this equation, physical insight into the structure of the kerne...

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Bibliographic Details
Published in:Journal of applied physics 1965-07, Vol.36 (7), p.2260-2267
Main Authors: Sass, A. R., Skurnick, I. D.
Format: Article
Language:English
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Summary:In the long-wavelength limit, the current distribution in a thin-film superconducting strip transmission line can be described by an inhomogeneous Fredholm equation of the second kind. By considering a fluxoid conservation derivation of this equation, physical insight into the structure of the kernel follows naturally. An approximate analytic solution to the integral equation is derived for a specified range of geometrical parameters commonly encountered in practice. The solution is obtained by making use of the Liouville—Neumann method of successive iterations and approximating the resulting series by a series involving powers of a defined coupling factor. It is shown that the critical current of the thin-film superconducting strip transmission line, based on the calculations in the paper and a critical-current-density hypothesis, is underestimated by less than 10%.
ISSN:0021-8979
1089-7550
DOI:10.1063/1.1714460