自由电子束与相向传播的两束激光作用的经典理论计算,Classical Interpretation of the Interaction between an Electron Beam and Two Counter-propagating Laser Beams,司徒树平 张征文 李毓增 中山大学理工学院,2007年8月 延边,Outline,Introduction Lab Prototype Motion Equation Calculation and Interpretation Summary,Introduction,Much advanced research has been conducted recently on the interaction between electron and coherent radiations (Kapitza-Dirac effect, free-electron laser,.) Electron interacting with two counter-propagating coherent radiations is the common model Nonrelativistic electron interacting with coherent wave is governed by Lorentz force equation One of the valuable problem is to unlock the energy change of the electron,Lab Prototype,Conceptual diagram for the Experiment of interaction between electrons and two Counter-propagating Laser Beams,Relevant experiment,Collector current signal vs initial electron energy,Motion Equation,Laser:,Electric Force and Lorentz Force:,Motion Equation,Where,Let:,Calculation and Interpretation,Solving a nonlinear differential equation,Runge - Kutta arithmetic Adomian polynomial,Where:,Calculation and Interpretation,Phase Curve,Accelerating,Decelerating,Calculation and Interpretation,Final Energy Distribution,Accelerating,Decelerating,Final electron energy distribution for different initial energy (deceleration),Calculation and Interpretation,Qualitative Analysis,Accelerating,Decelerating,Summary,The application of axial electric field causes to the trapping of the electron. The theoretical calculations are found to be consistent with experimental measurements. The mechanism relies on nonlinear interaction which causes the phase bunching that due to the breaking of uniform distribution of electron energy. Classical electrodynamics can well explained the interaction of free-electron with coherent radiations.,Thank you!,