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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
OutlineIntroductionLab PrototypeMotion EquationCalculation and InterpretationSummary
IntroductionMuch 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 modelNonrelativistic 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 PrototypeConceptual 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 EquationWhereLet:
Calculation and InterpretationSolving a nonlinear differential equationRunge - Kutta arithmetic Adomian polynomial Where:
Calculation and InterpretationPhase CurveAcceleratingDecelerating
Calculation and InterpretationFinal Energy DistributionAcceleratingDecelerating
Final electron energy distribution for different initial energy (deceleration)
Calculation and InterpretationQualitative AnalysisAcceleratingDecelerating
SummaryThe 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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