The Green's-function technique is utilized in the determination of the field distribution of an infinitely long current carrying conductor of arbitrary but constant cross section above a superconducting ground plane of finite thickness. It is assumed that the superconductor can be described by the phenomenological London equations. The integral expressions that are obtained are solved analytically for a few special cases of interest. Under conditions that are often encountered in a physical system, a modified image method can be utilized in order to calculate the field distribution to within 2% of the computer solution.
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A. Sass (1964) studied this question.
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