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International Waveform Diversity and Design Conference

Parametric excitation of Josephson oscillator in external resonator at arbitrary coupling

Valery V. Pavlovskiy, Vladimir N. Gubankov, I. Gundareva

Published Aug 1, 2010• 0 citations
Publisher

Abstract

Josephson oscillators attract a considerable interest as parts of superconducting electronic devices. Numerical simulation of Josephson oscillator in resonator was performed at arbitrary coupling. Parametric excitation is indicated by voltage break at dc IV-curve of Josephson oscillator. A numerical procedure was developed for calculation of static characteristics of the oscillator at any coupling with resonator. The influence of thermal fluctuations of normal electron current on parametric excitation was analyzed. The results obtained can be used in development of electronic devices, based on Josephson oscillators in mm- and sub-mm wavelength spectral range of electromagnetic radiation.

DOI
10.1109/wdd.2010.5592391

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Josephson oscillators attract a considerable interest as parts of superconducting electronic devices. Numerical simulation of Josephson oscillator in resonator was performed at arbitrary coupling. Parametric excitation is indicated by voltage break at dc IV-curve of Josephson oscillator. A numerical procedure was developed for calculation of static characteristics of the oscillator at any coupling with resonator. The influence of thermal fluctuations of normal electron current on parametric excitation was analyzed. The results obtained can be used in development of electronic devices, based on Josephson oscillators in mm- and sub-mm wavelength spectral range of electromagnetic radiation.
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We have investigated numerically a system consisting of a long Josephson junction embedded into a microstrip resonator. For such a configuration the Josephson vortex dynamics in the junction is driven by the oscillating currents in the resonator. We have calculated the complex impedance of the junction at the resonant frequency. The Q factor of the resonator and the change of the resonant frequency of the whole system can then be easily calculated knowing the parameters of the resonator without Josephson junction. The fluxon dynamics and the complex impedance of the junction are simulated for different values of the junction length, damping, dc bias current, and dc magnetic field. This allows us to explain the behavior of the impedance of the junction and different loss mechanisms. In particular, we predict a nonmonotonic dependence of the both real and imaginary parts of the impedance on the amplitude of the oscillating current in the resonator for some range of parameters. Our results show that such a combination of active and passive superconducting elements forms a rather interesting nonlinear physical system which might be useful for development of tunable/switchable superconducting resonators and suggests an experimental technique for detecting trapped vortices in long junctions.
We found that the coupled system of Josephson junctions under external electromagnetic radiation demonstrates a cascade of parametric instabilities. These instabilities appear along the IV characteristics within bias current intervals corresponding to Shapiro step subharmonics and lead to charging in the superconducting layers. The amplitudes of the charge oscillations increase with increasing external radiation power. We demonstrate the existence of longitudinal plasma waves at the corresponding bias current values. An essential advantage of the parametric instabilities in the case of subharmonics is the lower amplitude of radiation that is needed for the creation of the longitudinal plasma wave. This fact gives a unique possibility to create and control longitudinal plasma waves in layered superconductors. We propose a novel experiment for studying parametric instabilities and the charging of superconducting layers based on the simultaneous variation of the bias current and radiation amplitude.
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