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

G. Filatrella, G. Rotoli, N. Grønbech-Jensen, R. D. Parmentier, Niels Falsig Pedersen

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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. Journal of Applied Physics is copyrighted by The American Institute of Physics.
Original languageEnglish
JournalJournal of Applied Physics
Issue number7
Pages (from-to)3179-3185
Publication statusPublished - 1992

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Copyright (1992) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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Filatrella, G., Rotoli, G., Grønbech-Jensen, N., Parmentier, R. D., & Pedersen, N. F. (1992). Model studies of long Josephson junction arrays coupled to a high-Q resonator. Journal of Applied Physics, 72(7), 3179-3185.