Theory of intermodulation in a superconducting microstrip resonator

Journal Article · Sat Feb 01 04:00:00 EST 1997 · Journal of Applied Physics

DOI:https://doi.org/10.1063/1.364056· OSTI ID:450264

Dahm, T; Scalapino, D J ^[1]

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1. Department of Physics, University of California, Santa Barbara, California 93106-9530 (United States)

The penetration depth and surface resistance of a superconductor depend upon the superfluid current density. This dependence gives rise to nonlinear mixing in a superconducting microstrip resonator. Here we discuss the problem of intermodulation in which two signals at {omega}{sub 1} and {omega}{sub 2}, laying within the pass band of a microstrip cavity resonance, mix and generate a signal at 2{omega}{sub 1}{minus}{omega}{sub 2}. An expression relating the power generated at 2{omega}{sub 1}{minus}{omega}{sub 2} to the power transmitted at {omega}{sub 1} and {omega}{sub 2} is given. We focus on the high-T{sub c} superconductors where it is believed that the order parameter has d{sub x{sup 2}{minus}y{sup 2}} symmetry. We find for a resonator with a large unloaded {ital Q} that intermodulation arises dominantly from the reactive nonlinear inductance of the superconducting film. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 450264
• Journal Information: Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 4 Vol. 81; ISSN JAPIAU; ISSN 0021-8979
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CURRENT DENSITY
FREQUENCY MIXING
HIGH-TC SUPERCONDUCTORS
MODULATION
NONLINEAR PROBLEMS
PENETRATION DEPTH
SUPERCONDUCTING CAVITY RESONATORS