理论分析了高斯光束整形原理， 并选择超洛伦兹函数作为平顶光分布函数；
The principle of shaping Gaussian beam was studied theoretically and the Flattened Lorentzian(FL) function was chosen as the distribution expression of the flattened beam.
给出了相对论荷电粒子体系的分布函数，并证明了它的洛伦兹标量性质；建立了推广的刘维尔方程并证明了它的协变性。
The specific distribution function of a relativistic kinetic system is given and its Lorentz scalar property is proved. A relativistic generalized Liouville equation is established.
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