Skip to main content
Log in

A method for calculating the microwave surface impedance of superconducting films

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

A method is described for calculating the surface impedance of thin superconducting films using the theory of Mattis and Bardeen of the surface impedance of superconductors. An approximate extension of the theory to the case where the superconducting order parameter inside the film varies slowly in space is presented. Calculations using the theory are compared with experimental measurements of the surface impedance at 3 GHz of thin tin films on bulk lead substrates. Agreement between theory and experiment is good.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. B. Pippard, Proc. Roy. Soc. A216, 547 (1953).

    Google Scholar 

  2. M. A. Biondi and M. P. Garfunkel, Phys. Rev. Lett. 2, 143 (1959).

    Google Scholar 

  3. J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev. 108, 1175 (1957).

    Google Scholar 

  4. D. C. Mattis and J. Bardeen, Phys. Rev. 111, 412 (1958).

    Google Scholar 

  5. P. B. Miller, Phys. Rev. 118, 928 (1960).

    Google Scholar 

  6. D. M. Ginzberg and L. C. Hebel, in Superconductivity, R. D. Parks, ed. (Marcel Dekker, New York, 1969), Vol. 1, Chap. 4.

    Google Scholar 

  7. C. Varmazis, J. R. Hook, D. J. Sandiford, and M. Strongin, Phys. Rev. B 11, 3354 (1975).

    Google Scholar 

  8. J. R. Hook, in Low Temperature Physics-LT 13, W. J. O'Sullivan, K. D. Timmerhaus, and E. F. Hammel, eds. (Plenum, New York, 1974), Vol. 3, p. 337.

    Google Scholar 

  9. J. R. Hook and J. A. Battilana. in Low Temperature Physics- LT 14 (Plenum, New York. 1975).

    Google Scholar 

  10. P. G. de Gennes, Rev. Mod. Phys. 36, 225 (1964).

    Google Scholar 

  11. L. P. Gor'kov, Sov. Phys.—JETP 9, 1364 (1959); 10, 998, (1960).

    Google Scholar 

  12. R. O. Za\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{i} \)tsev, Sov. Phys.—JETP 23, 702 (1966).

    Google Scholar 

  13. J. R. Hook and J. R. Waldram, Proc. Roy. Soc. A334, 171 (1973).

    Google Scholar 

  14. M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions (Dover, New York, 1965), Chap. 5.

    Google Scholar 

  15. A. R. Barnett, D. H. Feng, J. W. Steed, and L. J. B. Goldfarb Computer Phys. Commun. 8, 377 (1974).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hook, J.R. A method for calculating the microwave surface impedance of superconducting films. J Low Temp Phys 23, 645–661 (1976). https://doi.org/10.1007/BF00116300

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00116300

Keywords

Navigation