Abstract
A model is formulated for the analytic description of vortices in a system consisting of a long Josephson junction (JJ) and a waveguide that is magnetically coupled to this junction. The application of this model made it possible to determine the allowed range of velocities of a vortex. It is established that a free vortex can move with a velocity much greater than the Swihart velocity of a Josephson junction. Such a vortex is called fast. The effect of the waveguide on the forced motion of vortices is studied. It is shown that fast vortices can be generated at relatively small values of current.
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