Relative narrow bandwidth-high energy radiation can be produced through Thomson scattering, where highly relativistic electrons collide with a laser pulse.The bandwidth of such a source is determined, among others factors, by the bandwidth of the laser pulse and the energy spread of the electrons.Here we investigate how the bandwidth of Brake Lining such a source can be minimized, with a particular emphasis on electron bunches with a correlated energy spread of several percent, that are typical for plasma based accelerator schemes.We show that by introducing a chirp on the laser pulse it is possible to compensate the broadening effect due to the energy spread of the electrons, and obtain the same bandwidth as a quasi-monochromatic plane Tray Tables wave laser pulse colliding with a monoenergetic electron bunch.
Ultimately, the bandwidth of a Thomson source is limited by the acceptance angle and the initial transverse momentum of electrons (emittance).