相干光束相互作用的宏观流体理论研究
Macroscopic Fluid Approach to the Coherent Beam-Beam Interaction
摘要：
基于Vlasov-Poisson方程的Radon变换，建立了一个描述相干光束相互作用的宏观流体模型。结果表明，弗拉索夫方程，表示在作用角变量，可以减少到一个封闭的一组流体动力学（流体）方程的束流密度和流速。分析了线性化的一维方程组，给出了相干光束-光束频移的显式表达式。
英文摘要：
Building on the Radon transform of the Vlasov-Poisson equations, a macroscopic fluid model for the coherent beam-beam interaction has been developed. It is shown that the Vlasov equation, expressed in action-angle variables, can be reduced to a closed set of hydrodynamic (fluid) equations for the beam density and current velocity. The linearized one dimensional equations have been analysed, and explicit expressions for the coherent beam-beam tuneshifts are presented.
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