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Modulation instability of electromagnetic excitations in the nonlocal Josephson electrodynamics of thin magnetic superconducting films

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Abstract

The modulation instability of plane finite-amplitude nonlinear waves with the Josephson frequency is studied for a Josephson contact in thin nonmagnetic and magnetic (two-dimensional) superconducting films. Dispersion relations for the increments of small-amplitude perturbations are derived. Modulation instability is shown to develop in the finite range 0<Q<Q b of the wavevectors of amplitude perturbations for the nonmagnetic films and for any perturbation wavevector 0<Q<∞ for the magnetic films.

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  1. Galkin Physicotechnical Institute, National Academy of Sciences of Ukraine, Donetsk, 83114, Ukraine

    A. I. Lomtev

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  1. A. I. Lomtev
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__________

Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 73, No. 11, 2003, pp. 64–68.

Original Russian Text Copyright © 2003 by Lomtev.

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Lomtev, A.I. Modulation instability of electromagnetic excitations in the nonlocal Josephson electrodynamics of thin magnetic superconducting films. Tech. Phys. 48, 1424–1428 (2003). https://doi.org/10.1134/1.1626774

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