Phase locking and flux-flow resonances in Josephson oscillators driven by homogeneous microwave fields

M. Salerno; M. R. Samuelsen

doi:10.1103/PhysRevB.59.14653

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Phase locking and flux-flow resonances in Josephson oscillators driven by homogeneous microwave fields

M. Salerno, M. R. Samuelsen

DOI 10.1103/PhysRevB.59.14653 · Physical Review B

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Abstract

We investigate both analytically and numerically phase locking and flux-flow resonances of long Josephson junctions in the presence of homogeneous microwave fields. We use a power balance analysis and a perturbation expansion around the uniform rotating solution to derive analytical expressions for IV curves. The dependence of the flux-flow step on the amplitude of the rf field and the appearance of satellite steps are explained. As a result we show that satellite steps around the main flux-flow resonance are spaced by both odd and even harmonics of the rf frequency. An analytical expression for the locking range in current of the phase-lock steps is also derived. These results are found to be in good agreement with numerical results.