Abstract
We consider the radiation processes in crossed fields similar to the radiation in the anomalous Doppler effect considered by V. L. Ginzburg and I. M. Franck in 1947. It is shown that under the anomalous Doppler effect in crossed fields the electron which passes to a higher Landau level in the radiation takes energy from the potential energy of the electric field. The possibility of using such radiation to obtain induced undulator radiation in a system of electrons drifting across the periodic potential is considered. It is demonstrated that this radiation can occur even in the case of a large spread of electron velocities. This result is important for semiconductor systems with a periodic potential (superlattices).
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