General formulation of nonlinear Thomson scattering of arbitrary polarized laser and optimal conditions for X-ray production
任意椭圆偏振激光场非线性汤姆逊散射的一般表述与X射线产生的优化条件

The general formulation of nonlinear Thomson scattering of arbitrary polarized laser is derived from electrodynamics analytically under relativistic conditions. The extreme condition for high order harmonics is educed from the analytical results. It is found that the circular polarization reaches a maximum while the linear polarization is at its minimum in the fundamental backscattering radiation in the same situations, which makes important consulting sense in the experimental research of X-ray source based on the Thomson scattering mechanism especially for high intensity incident laser pulse cases.