Series‐biased arrays of long Josephson junction fluxon oscillators can be phase locked by mutual coupling to a high‐Q, linear distributed resonator. A simplified model of such a device, consisting of junctions described by the particle‐map perturbation theory approach which are capacitively coupled to a lumped, linear tank circuit, reproduce the essential experimental observations at a very low computational cost. A more sophisticated model, consisting of partial differential equation descriptions of the junctions, again mutually coupled to a linear tank, substantially confirm the predictions of the simplified model. In the particle‐map model, the locking range in junction bias current increases linearly with the coupling capacitance; in the partial differential equation (p.d.e.) model, this holds up to a certain maximum value of the capacitance, after which a saturation of the locking range is observed. In both models, for a given spread of junction lengths, the existence of a minimum value of the capacitance for locking to a tank with a given resonant frequency is evidenced.

Model studies of long Josephson junction arrays coupled to a high‐Q resonator

ROTOLI, Giacomo;
1992

Abstract

Series‐biased arrays of long Josephson junction fluxon oscillators can be phase locked by mutual coupling to a high‐Q, linear distributed resonator. A simplified model of such a device, consisting of junctions described by the particle‐map perturbation theory approach which are capacitively coupled to a lumped, linear tank circuit, reproduce the essential experimental observations at a very low computational cost. A more sophisticated model, consisting of partial differential equation descriptions of the junctions, again mutually coupled to a linear tank, substantially confirm the predictions of the simplified model. In the particle‐map model, the locking range in junction bias current increases linearly with the coupling capacitance; in the partial differential equation (p.d.e.) model, this holds up to a certain maximum value of the capacitance, after which a saturation of the locking range is observed. In both models, for a given spread of junction lengths, the existence of a minimum value of the capacitance for locking to a tank with a given resonant frequency is evidenced.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11591/190465
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