Current distribution, resistance, and inductance for superconducting strip transmission lines

A method for the calculation of the current distribution, resistance, and inductance matrices for a system of coupled superconducting transmission lines having finite rectangular cross-section is presented. These calculations allow accurate characterization of both high-T/sub c/ and low-T/sub c/ superconducting strip transmission lines. For a single stripline geometry with finite ground planes, the current distribution, resistance, inductance, and kinetic inductance are calculated as functions of the penetration depth for various film thicknesses. These calculations are then used to determine the penetration depth for Nb, NbN, and YBa/sub 2/Cu/sub 3/O/sub 7-x/ superconducting thin films from the measured temperature dependence of the resonant frequency of a stripline resonator. The calculations are also used to convert measured temperature dependence of the quality factor to the intrinsic surface resistance as a function of temperature for an Nb stripline resonator.<<ETX>>

[1]  M. Beasley,et al.  Magnetic penetration depth measurements with the microstrip resonator technique , 1990 .

[2]  J. Swihart,et al.  Field Solution for a Thin‐Film Superconducting Strip Transmission Line , 1961 .

[3]  D. Mattis,et al.  Theory of the anomalous skin effect in normal and superconducting metals , 1958 .

[4]  W. Stewart,et al.  Self and Mutual Inductances of Superconducting Structures , 1968 .

[5]  S. Cohn.  Problems in Strip Transmission Lines , 1955 .

[6]  W. Chang,et al.  Numerical calculation of the inductances of a multi-superconductor transmission line system , 1981 .

[7]  A. S. Goodman,et al.  A numerical solution of a model for a superconductor field problem , 1979 .

[8]  W. Chang,et al.  The inductance of a superconducting strip transmission line , 1979 .

[9]  D. E. Oates,et al.  Stripline Measurements of Surface Resistance: Relation to HTSC Film Properties and Deposition Methods , 1990, Other Conferences.

[10]  V. Anderson,et al.  rf surface resistance of Y-Ba-Cu-O thin films. , 1988, Physical review. B, Condensed matter.

[11]  H. A. Wheeler.  Formulas for the Skin Effect , 1942, Proceedings of the IRE.

[12]  W. T. Weeks,et al.  Resistive and inductive skin effect in rectangular conductors , 1979 .

[13]  C. Kircher,et al.  Penetration depth measurements on type II superconducting films , 1977 .

[14]  J. Halbritter,et al.  On surface resistance of superconductors , 1974 .

[15]  N. H. Meyers,et al.  Inductance in Thin-Film Superconducting Structures , 1961, Proceedings of the IRE.