Abstract
An analytical method is presented for investigating the resonant behavior of a c-axis oriented YBa2Cu2O7−δ(δ≈0) thin film on a resonator composed of LaAlO3 (001). The concept of the negative dielectric medium for a superconductor is introduced within the framework of the two-fluid model, which permits us to treat a superconductor as any other penetrable materials so that only its electromagnetics are concerned. A conformai transformation is further suggested to map the original open boundary-value problem to a closed one. This not only makes the original problem readily solvable by using the variational technique, but is also a powerful tool for analyzing some kinds of problems such as the propagation characteristics of the superconducting microstripe and coplanar waveguide structures.
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It is by no means that the Cu-O chain layer always act as a semiconducting layer. In fact, at temperatures well belowTc, it appears to be superconducting. Nevertheless, this would not affect the validity of Eq. (26). Since, asT deops, Δ(T) grows, the first term in the brackets should be small enough so that it can be neglected.
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Zhou, S. Novel methodology to investigate superconducting dielectric resonators. J Supercond 8, 211–219 (1995). https://doi.org/10.1007/BF00732373
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DOI: https://doi.org/10.1007/BF00732373