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The Sine-Gordon Equation and Superconducting Soliton Oscillators

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Future Directions of Nonlinear Dynamics in Physical and Biological Systems

Part of the book series: NATO ASI Series ((NSSB,volume 312))

Abstract

Long Josephson junctions have a potential as narrow linewidth oscillator at millimeter and submillimeter frequencies. Such oscillators are suitable for use as local oscillators in integrated superconducting receivers. The oscillator derives its existence from fluxon motion governed by the sine-Gordon equation. The properties of this dynamical system are discussed both analytically and by comparison to a mechanical system with similar properties. The state of the art for low temperature experiments with superconducting microwave - and millimeter wave oscillators is reviewed. Typically the low power output of a single junction must be enhanced by inserting it in a resonant structure or by having several junctions phaselocked to each other. Such systems have demonstrated power output of the order a microwatt at frequencies between 10 and 500 GHz. An integrated receiver with all component fabricated by superconducting thin film technology is predicted.

This paper was finished shortly before the tragic death of Stephanos Pnevmatikos in the Autumn of 1990.

It was felt appropriate not to make changes even if his death caused a delay in the publication. The Editors

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Author information

Authors and Affiliations

  1. Research Center of Crete, P.O. Box 1529, 711 10, Heraklion, Crete, Greece

    Stephanos Pnevmatikos

  2. Physics Lab. 1, The Technical University of Denmark, DK-2800, Lyngby, Denmark

    F. Pedersen

Authors
  1. Stephanos Pnevmatikos
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  2. F. Pedersen
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Editor information

Editors and Affiliations

  1. The Technical University of Denmark, Lyngby, Denmark

    P. L. Christiansen

  2. Heriot-Watt University, Edinburgh, UK

    J. C. Eilbeck

  3. University of Salerno, Baronissi, Italy

    R. D. Parmentier

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© 1993 Springer Science+Business Media New York

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Pnevmatikos, S., Pedersen, F. (1993). The Sine-Gordon Equation and Superconducting Soliton Oscillators. In: Christiansen, P.L., Eilbeck, J.C., Parmentier, R.D. (eds) Future Directions of Nonlinear Dynamics in Physical and Biological Systems. NATO ASI Series, vol 312. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1609-9_48

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  • DOI: https://doi.org/10.1007/978-1-4899-1609-9_48

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1611-2

  • Online ISBN: 978-1-4899-1609-9

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