Microwave response of superconducting platelet crystals

A theoretical study of the microwave response of isotropic and anisotropic superconductors in the Meissner state is presented. We consider a superconducting thin platelet crystal oriented in a parallel field configuration. The linear response analysis is investigated on the basis of modified two-fluid models along with the diffusion equation. The BCS coherence effect for conventional superconductors and the anomalous peak in the loss for anisotropic high-(Formula presented) cuprates are considered. The microwave properties are analyzed by the derived dimensionless magnetic permeability. The results show that thin edges have essentially nothing to do with the microwave loss in isotropic superconductors and the simple slab geometry suffices in studying their microwave properties. As for the high-(Formula presented) superconductors, the anisotropic effect itself makes the thin edges crucial in determining the microwave loss. The calculated results qualitatively indicate some good consistence with the reported experimental data. The role of thin edges of the superconducting platelet crystal in the microwave response is therefore evidently clarified.