Abstract
The spectral distribution of spontaneous emission and the gain for electrons moving in a plane wiggler (an undulator) with inhomogeneous magnetic field are calculated. It is shown that electrons perform composite motion, consisted of a slow (strophotron) and fast (undulator) components. The equations of coupled motion of electrons is obtained by averaging the equations of undulator motion. It is shown that the allowance for the magnetic field inhomogeneity leads to an appearance of additional peaks both in the spectral distribution of spontaneous radiation and in the gain.
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