Mathematical modelling of the impedance of a Josephson junction noise thermometer

Journal Article · Tue Dec 01 04:00:00 EST 1981 · J. Appl. Phys.; (United States)

DOI:https://doi.org/10.1063/1.328723· OSTI ID:6086966

Peterson, R L

Recent experimental work on noise thermometers consisting of a resistively shunted superconducting loop containing a Josephson junction (a resistive SQUID), has shown some novel behavior of the SQUID dc impedance as a function of rf power. We present a mathematical analysis of the intrinsic behavior of a resistive SQUID in the limit of negligible noise and negligible feedback to the rf circuit. A nonlinear, first-order differential equation is thought to be a reasonable descriptor of this system. Because the radio frequency driving the SQUID is much larger than the Josephson frequency, we are able to obtain a pair of equations in which no rf oscillating terms appear, and which are amenable to numerical solution. The dc impedance calculated from these equations has several, but not all, of the experimentally observed features.

• Research Organization: National Bureau of Standards, Electromagnetic Technology Division, Boulder, Colorado 80303
• OSTI ID: 6086966
• Journal Information: J. Appl. Phys.; (United States), Journal Name: J. Appl. Phys.; (United States) Vol. 52:12; ISSN JAPIA
• Country of Publication: United States
• Language: English

Related Subjects

420201* -- Engineering-- Cryogenic Equipment & Devices
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CURRENTS
DATA
DIFFERENTIAL EQUATIONS
DIRECT CURRENT
ELECTRIC CONDUCTIVITY
ELECTRIC CURRENTS
ELECTRIC IMPEDANCE
ELECTRICAL PROPERTIES
ELECTRONIC EQUIPMENT
EQUATIONS
EQUIPMENT
FLUXMETERS
IMPEDANCE
INFORMATION
JOSEPHSON JUNCTIONS
JUNCTIONS
MATHEMATICAL MODELS
MEASURING INSTRUMENTS
MICROWAVE EQUIPMENT
NOISE
NUMERICAL DATA
OSCILLATIONS
PHYSICAL PROPERTIES
SQUID DEVICES
SUPERCONDUCTING DEVICES
SUPERCONDUCTING JUNCTIONS
SUPERCONDUCTORS
THEORETICAL DATA
THERMOMETERS