Alignment of a spectrometer for soft x-ray laser diagnostics

We describe a research program for investigation of stimulated Compton (Thompson) scattering. The present development of an experimental system based on two high power pulsed TEA CO2 lasers and a non-relativistic beam is described. Results of theoretical analysis of the system are reported, including development of Manley-Rowe relations, conditions for backward wave oscillation and simulation of electron dynamics in a multitude of ponderomotive potential fields generated by multi-mode pump and signal waves. In conclusion a vaguard design concept of trapped electron pulsed two stage FEL system is proposed for consideration in outer space applications.