Modeling the nonlinearity of superconducting strip transmission lines

Author

Lam, C.-W. ; Sheen, D.M. ; Ali, S.M. ; Oates, D.E.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA

Volume

2

Issue

2

fYear

1992

fDate

6/1/1992 12:00:00 AM

Firstpage

58

Lastpage

66

Abstract

The use of the Ginzburg-Landau (GL) theory to predict the nonlinear behavior in a superconducting stripline resonator as a function of input current is reported. A method for calculating the nonlinear inductance and the fractional change in the resonant frequency ( Delta f/f) of a stripline resonator is presented. By solving the GL equations inside the superconducting strip, the spatial variation of the number density of superconducting electrons and, hence, the spatial variation of the magnetic penetration depth are obtained for different values of input current. First, an infinite parallel plate transmission line is considered where the one-dimensional GL equations are solved. The two-dimensional case of a stripline is then considered. Nonlinear inductances are calculated as functions of input current for different superconducting striplines. Comparisons of the calculated Delta f/f with measurements for YBa/sub 2/Cu/sub 3/O/sub 7-x/ stripline resonators show excellent agreement.<>

Keywords

barium compounds; high-temperature superconductors; inductance; resonators; strip line components; strip lines; superconducting devices; transmission line theory; yttrium compounds; Ginzburg-Landau theory; YBa/sub 2/Cu/sub 3/O/sub 7-x/; high temperature superconductors; input current; magnetic penetration depth; nonlinear inductance; number density of superconducting electrons; spatial variation; superconducting stripline resonator; superconducting striplines; Differential equations; Electrons; Inductance; Magnetic resonance; Nonlinear equations; Resonant frequency; Stripline; Strips; Superconducting magnets; Superconducting transmission lines;

fLanguage

English

Journal_Title

Applied Superconductivity, IEEE Transactions on

Publisher

ieee

ISSN

1051-8223

Type

jour

DOI

10.1109/77.139220

Filename

139220