Abstract:

In an under-dense plasma, the equation of the scattered laser with the mult-i photon nonlinear Compton effect is given with higher-order-relativistic(HOR) effect . The effects of the propagat ion on the scattered laser in the plasma channel are studied withHOR effect. A shallower potential well also exists for photon spot size in the paraxial approximation. HOR effect decreases the amplitude of photon spot size oscillation whereas accelerates its rate. Furthermore, it prevents the singularity of infinite intensity of photon beam when photon beam power is greater than or equal to the relativist ic crit ical power. The condition of balance-solution of the beam spot size is also given.

Key words: Mult-i photon nonlinear Compton scattering, Plasma channel;Higher-order-relativistic, Variational method

摘要：

给出了冷等离子体中高阶相对论下多光子非线性Compton 散射的光子流在等离子体通道中的传输方程, 研究了高阶相对论效应对散射光子流传输的影响。在近轴近似下, 散射强光子流依然有较浅的" 势阱" 方程。当散射强光子流强度较大时, 高阶相对论效应变得更加重要: 它减小了散射光束宽的振荡幅度, 同时加快了散射光束宽的振荡速度。当散射强光子流功率大于或等于相对论临界功率时, 高阶相对论效应避免了散射强光子流强度随传输距离出现无限大的奇异性。给出了散射强光子流的平衡解存在的条件。

关键词: 多光子非线性Compton 散射, 等离子体通道, 高阶相对论, 变分法