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Abstract

A setup of a unique x-ray source is put forward employing a relativistic
electron beam interacting with two counter-propagating laser pulses in the
nonlinear few-photon regime. In contrast to Compton scattering (CS) sources,
the envisaged x-ray source exhibits an extremely narrow relative bandwidth of
10^-4, comparable to the x-ray free-electron laser (XFEL). The
brilliance of the x-rays can be $2 - 3$ orders of magnitude higher than a
state-of-the-art CS source, while the angle spreading of the radiation is much
smaller. By tuning the laser intensities and the electron energy, one can
realize either a single peak or a comb-like x-ray source around keV energy. The
laser intensity and the electron energy in the suggested setup are rather
moderate, rendering this scheme compact and table-top size, as opposed to XFEL
and synchrotron infrastructures.