Nonlinear dynamics of Josephson vortices in a film screen under dc and ac magnetic fields

Abstract

We present detailed numerical simulations of Josephson vortices in a long Josephson junction perpendicular to a thin film screen under strong dc and ac magnetic fields. By solving the sine-Gordon equation, we calculated the threshold magnetic field for penetration of fluxons as a function of frequency, and the power dissipated by oscillating fluxons as functions of the ac field amplitude and frequency. We considered the effects of superimposed ac and dc fields, and a bi-harmonic magnetic field resulting in a vortex ratchet dynamics. The results were used to evaluate the contribution of weak-linked grain boundaries to the nonlinear surface resistance of polycrystalline superconductors under strong electromagnetic fields, particularly thin film screens and resonator cavities.

arXiv commentThis paper has 23 figures and 11 pages in its pdf format. The paper has been published online and will be published in text soon in November in journal of Physica C

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Cited by in corpus (5)

• Dynamic transition of vortices into phase slips and generation of vortex-antivortex pairs in thin film Josephson junctions under dc and ac currents
• $\text{Ab Initio}$ Theory of the Impact from Grain Boundaries and Substitutional Defects on Superconducting Nb${}_3$Sn
• High Frequency Nonlinear Response of Superconducting Cavity-Grade Nb surfaces
• Instability of flux flow and production of vortex-antivortex pairs by current-driven Josephson vortices in layered superconductors
• Microwave impedance of a dc-biased Josephson Fluxonic Diode in the presence of magnetic field and rf drive