Three dimensional analysis of the x-radiation produced by a collective thomson source

The interaction between a very high brightness electron beam and a relativistically intense optical laser pulse produces X-rays via coherent Thomson back scattering with FEL collective amplification. The phenomenon is, however, very selective, so that the characteristics of both electron and laser beam must satisfy tight requirements in terms of beam current, emittance, energy spread and laser amplitude stability within the pulse. The three-dimensional equations governing the radiation phenomena have been studied and solved numerically for the particularly interesting values of wavelengths of 1 Ang, 1 nm and 12 nm.important issues regarding the laser pulse.