1. 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

2. Outline Introduction Lab Prototype Motion Equation Calculation and Interpretation Summary

3. 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

4. Lab Prototype Conceptual diagram for the Experiment of interaction between electrons and two Counter-propagating Laser Beams

5. Relevant experiment

7. Collector current signal vs initial electron energy

8. Motion Equation Laser: Electric Force and Lorentz Force:

9. Motion Equation Where Let:

10. Calculation and Interpretation Solving a nonlinear differential equation Runge - Kutta arithmetic Adomian polynomial Where:

11. Calculation and Interpretation Phase Curve AcceleratingDecelerating

12. Calculation and Interpretation Final Energy Distribution AcceleratingDecelerating

13. Final electron energy distribution for different initial energy (deceleration)

14. Calculation and Interpretation Qualitative Analysis AcceleratingDecelerating

16. 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.

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