Inductance in Thin-Film Superconducting Structures
- 1 November 1961
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IRE
- Vol. 49 (11) , 1640-1649
- https://doi.org/10.1109/jrproc.1961.287767
Abstract
Thin-film superconducting components and circuits assume the form of coupled strip-transmission lines. The self and mutual inductances of these lines are important to the gain and bandwidth of the circuits. The inductances are influenced strongly by penetration of magnetic fields into the conductors. This paper gives a field solution which shows that the lowest-order mode on a thin-film superconducting strip line is a TM or E wave because of penetration effects. This mode has a non-negligible axial electric field which makes it incorrect to calculate inductance on a flux-linkage-per-unit-current basis even at low frequencies. However, the low-frequency inductance can be correctly calculated on an energy basis if the kinetic energy of the superelectrons is included in the free energy. This latter method is applied to a structure of current practical interest, that of an arbitrary number of infinitely long, very wide, thin, parallel, superimposed, closely spaced conductors above a common ground plane. All distributed self and mutual inductances with any conductor or combination of conductors in either the super or normal state are evaluated.Keywords
This publication has 4 references indexed in Scilit:
- Field Solution for a Thin-Film Superconducting Strip Transmission LineJournal of Applied Physics, 1961
- Use of a superconducting transmission line for measuring penetration depthsSolid-State Electronics, 1960
- Critical Fields of Thin Superconducting FilmsPhysical Review B, 1960
- The surface impedance of superconductors and normal metals at high frequencies III. The relation between impedance and superconducting penetration depthProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1947