[en] The classical theory of backward Compton scattering of electromagnetic waves on the relativistic electron bunch is suggested. It was compared basic results of quantum and classical theories of that effect. The possibility of coherent effect at the backward Compton scattering of electromagnetic waves on the short electron bunch of relativistic electrons was shown. Conditions, at which this effect takes place, was obtained

[en] The process of coherent radiation emerging at the collision of a relativistic electron bunch with a short bunch of relativistic charged particles is considered. The effect of suppression of the coherent radiation in this case is suggested. It is shown, that this effect is similar to the Landau-Pomeranchuk-Migdal effect of suppression of the radiation by relativistic electrons in a thin layer of amorphous and crystalline matters

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[en] At scattering of relativistic bunches of charged particles the effect of a significant amplification of radiation in the region of low radiated frequencies, when the spectral density is proportional to the square number of particles in the bunch, is possible. This effect holds both for head-scattered bunches, and bunches which scattered at a small angle between their axes of motion. At the same time with an increasing number of the particles in bunches the radiation is almost independent of the number of particles. The analogy of these effects and the effects of radiation at the passage of charged particles in matter is discussed. The analogy of the mechanisms of these radiation processes not only for coherent, but also for incoherent radiation, is shown. The possibility of usage of the coherent effect in radiation for monitoring charged particle beams is noted.

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