Advertisement

Modeling of Superconductivity for EM Boundary Value Problems

  • R. Pous
  • G. C. Liang
  • K. K. Mei

Abstract

High-temperature superconductivity has spawned a wide search for electronics applications. Various experiments on microwave circuits, including resonators, filters, phase shifters, and small antennas have been performed with promising results. The design of these components will necessarily involve numerical simulation, which requires the solution of superconductive EM boundary value problems. In this paper, several approaches to this solution are presented. In the first approach, superconductors are treated as negative dielectric materials. Secondly, the superconductor surface impedance condition is used at the boundaries. Finally, the problem is solved using perfectly conducting boundaries, and perturbation is used to approximate the desired parameters. The above methods are used to solve the scattering by a superconducting cylinder, propagation in a superconducting parallel-plate waveguide, and radiation by a superconducting short dipole. Very good agreement is found between the negative dielectric model and the surface impedance method. The perfect conductor approximation also gives very good estimates of the fields, but fails to predict some important effects, such as the change in resonant frequency of the dipole with temperature.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    K. K. Mei, G. C. Liang, and T. Van Duzer, “Electrodynamics of Superconductors,” presented at 1989 IEEE APS Intl. Symp., San Jose, June 1989.Google Scholar
  2. [2]
    K. K. Mei, G. C. Liang, “Electrodynamics of Superconductors,” submitted to the IEEE Trans. on Microwave Theory and Tech., Special Issue on Superconductivity, Sept. 1991.Google Scholar
  3. [3]
    G. C. Liang, Y. W. Liu, and K. K. Mei, “Propagation Properties of a Superconductive Stripline,” IEEE APS Int. Symp., Dallas, pp. 728–731, May 1990.Google Scholar
  4. [4]
    T. Van Duzer and C. W. Turner, Principles of Superconductive Devices and Circuits, New York, NY: Elsevier, 1981.Google Scholar
  5. [5]
    J. I. Gittleman, and B. Rosenblum, “Microwave Properties of Superconductors,” Proc. of the IEEE, vol. 52, pp. 1138–1147, Oct. 1964.CrossRefGoogle Scholar
  6. [6]
    R. E. Collin, Field Theory of Guided Waves, New York, NY: McGraw-Hill, 1960.Google Scholar
  7. [7]
    J. H. Richmond, “Scattering by a Dielectric Cylinder of Arbitrary Cross Section Shape,” IEEE Trans. Antennas and Propagat., vol. AP-13, pp. 334–341, May 1965.ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • R. Pous
    • 1
  • G. C. Liang
    • 1
  • K. K. Mei
    • 1
  1. 1.Department of Electrical Engineering and Computer Science and the Electronics Research LaboratoryUniversity of CaliforniaBerkeleyUSA

Personalised recommendations