Coherent radiation produced by a relativistic bunch of charged particles passing through a photonic crystal

The equations, which describe generation of coherent radiation by a relativistic electron bunch moving in a photonic crystal, are obtained. Spectral-angular distribution of radiation and intensity of radiation in time-domain are derived. The interaction of the bunch electrons with the electromagnetic field induced by bunch itself at the initial stage of producing coherent radiation is shown contributing to the expression for the bunch current with the terms proportional to particle acceleration (proportional to interaction time and strength of electric field induced by bunch itself) along with the terms proportional to velocity. Induced radiation produced by the relativistic bunch is considered using the quantum physics approach.

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