Eliasson Bengt, Shukla P K
Institut für Theoretische Physik, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, D-44780 Bochum, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jun;85(6 Pt 2):065401. doi: 10.1103/PhysRevE.85.065401. Epub 2012 Jun 20.
We present a nonlinear theory for relativistic x-ray free-electron lasers in the quantum regime, using a collective Klein-Gordon (KG) equation (for relativistic electrons), which is coupled with the Maxwell-Poisson equations for the electromagnetic and electrostatic fields. In our model, an intense electromagnetic wave is used as a wiggler which interacts with a relativistic electron beam to produce coherent tunable radiation. The KG-Maxwell-Poisson model is used to derive a general nonlinear dispersion relation for parametric instabilities in three space dimensions, including an arbitrarily large amplitude electromagnetic wiggler field. The nonlinear dispersion relation reveals the importance of quantum recoil effects and oblique scattering of the radiation that can be tuned by varying the beam energy.
我们提出了一种适用于量子 regime 中相对论性 X 射线自由电子激光器的非线性理论，使用了一个集体克莱因 - 戈登（KG）方程（用于相对论性电子），该方程与用于电磁场和静电场的麦克斯韦 - 泊松方程相耦合。在我们的模型中，强电磁波被用作摆动器，它与相对论性电子束相互作用以产生相干可调谐辐射。KG - 麦克斯韦 - 泊松模型用于推导三维空间中参数不稳定性的一般非线性色散关系，包括任意大振幅的电磁摆动器场。非线性色散关系揭示了量子反冲效应以及可通过改变束流能量来调节的辐射斜散射的重要性。
