Influence of electron’s initial position on space radiation of a high-energy electron interacting with linearly polarized tightly focused laser

The scattering model of a single high-energy electron interacting with a Gaussian laser pulse is constructed according to the Lagrange’s equation, and the trajectory of the electron and the radiation characteristics of the scattered light are simulated by MATLAB, also, the influence of the initial position of the electron on the space energy radiation is discussed in detail. The results show that the initially static high-energy electron first oscillates in the +z direction in a plane, and then travels along a straight line after interacting with the linearly polarized tightly focused intense laser. As the initial position of the electron moves to the positive direction of z axis, the azimuth angle of the maximum energy radiation direction remains unchanged at 180°, while the polar angle gradually decreases and finally stabilizes at 20.5°. The maximum radiation energy in the whole space is obtained when the electron is initially set at (0,0,−7λ0 ) with the polar angle and the azimuth angle being 23.5° and 180° respectively, and the corresponding time evolution and spectrum of the process are discussed qualitatively.