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A nonlinear theory is presented unifying the concepts of the photon accelerator and the plasma wake-field generator. For a weakly relativistic nonlinearity an upper limit of frequency up-conversion, which is attainable for an electromagnetic bunch that is accelerated in a periodic plasma field, is found. This limitation is directly attributed to the existence of localized nonlinear wave structures trapped in a deformation of the plasma-wave lattice.
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Миронов et al. (1990) studied this question.
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