Abstract
This paper establishes a low-energy single-electron acceleration model based on the Lorentz equation and an energy equation, simulates the trajectories of electrons in laser pulses with different beam waist radii with the help of MATLAB software and analyzes the influence of linearly polarized laser intensity on the dynamic law of high-energy electrons. With the beam waist radius increasing, we find that the longitude drifting distance and the maximum transverse quivering amplitude are growing differently at each part at first (when the beam waist radius <4λ0) and then decreasing differently as well. Furthermore, when the beam waist radius is small enough, the ramifications are found first; increasing the radius of the beam will make the radiated power go up by orders of magnitude and the ramification of the location and number found in the asymmetric bifoliate radiation pattern change throughout.
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