Abstract
The spontaneous radiation problem is considered for an electron oscillating simultaneously with two different frequencies: with one ω w for planar and with a smaller one ω L⪡ ω W for circular oscillations respectively. It is shown that the electron radiation spectrum contains a set of combined harmonic frequencies ω j =( ω w+ jω L)/(1− β cos θ). For a fixed radiation frequency ω the angular distribution of the radiation is defined by a smaller angle than in the case of the usual undulator radiation. These effects providing more monochromatic spontaneous radiation sources can be used in the FEL physics, in particular for mode selection in the oscillators.
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