Abstract
Governing vector partial differential equations for the linear electrodynamic response of an isotropic type-II superconductor in the mixed state are derived. A continuum theory of vortex motion is used, and two-fluid effects are also accounted for. The governing equation is sufficiently general to reduce to either normal metal or dielectric material results in special limits. The complex-valued conductivity tensor of the mixed state is made explicit, and is also discussed for an anisotropic superconductor. The theory is illustrated with a planar superconducting waveguide problem, wherein the complex propagation constant, phase velocity, and surface impedance are obtained.
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Coffey, M.W. Electrodynamic field equations for composite superconducting structures in the mixed state. J Low Temp Phys 108, 331–343 (1997). https://doi.org/10.1007/BF02398718
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DOI: https://doi.org/10.1007/BF02398718