Abstract: Laser synchrotron source is a novel X-ray source. LSS is based on Compton scattering of intense lasers from relativistic electron beams. By Compton-recoil electron method, the wavelengths and energies from the laser synchrotron source are investigated. The results show that, for the different y ranges, the wavelength and energy have the different approximate formulas. Then, the radiation condition of the LSS is calculated as λ1 〉λm. At the last, the relation λ2max = h/（mo γv） and εc2max=βε3 are presented.

Key words: laser synchrotron source, Compton scattering, recoil electron, wavelength, energy