Debye source representation for type-I superconductors, I

05/25/2021

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by   Charles L. Epstein, et al.

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In this note, we analyze the classical magneto-static approach to the theory of type I superconductors, and a Debye source representation that can be used numerically to solve the resultant equations. We also prove that one of the fields, J^-, found within the superconductor via the London equations, is the physical current in that the outgoing part of the magnetic field is given as the Biot-Savart integral of J^-. Finally, we compute the static currents for moderate values of London penetration depth, λ_L, for a sphere, a stellarator-like geometry and a two-holed torus.