The use of a two-stage mechanism for the acceleration of charged particles is proposed. The principle of acceleration is based on the use of the fractal properties of the wave spectrum of a corrugated plasma waveguide with superconducting walls. The first stage provides for the excitation of a corrugated plasma waveguide by short electron bunches in the direction of motion (the length of the bunch is significantly less than the period of the corrugation). On the second stage the test charged particles accelerates in an infinite number of harmonics of the electric field exited by an electron bunches. Calculations show that with the implementation of such an acceleration mechanism, the average speed of a non-relativistic test particle can increase several times, and its acceleration length can be up to one meter.
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