基于相对论条件的电动力学,解析求解了任意椭圆偏振条件下激光场的非线性汤姆逊散射的一般表示.利用解析结果得到了背向非线性汤姆逊散射高次谐波的极值条件.结果表明对于基频背向汤姆逊散射,在相同条件下,圆偏振激光具有最大值而线偏振是最小值,如果激光偏振态从圆偏振连续的过渡到线偏振,背向汤姆逊散射的角功率随之单调递减.这一效应对高强度入射激光尤为重要,当a2>5时,圆偏振情形的贡献几乎是线偏振的2倍.这对基于汤姆逊散射机制的X射线源实验研究具有重要参考意义.%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.
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