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.
According to Lorentz equation and electron motion equation, a collision model between a high-energy electron and an intense laser pulse is constructed, and the three-dimensional trajectory of electron motion and the pulse width, peak radiation power and frequency spectrum of radiation pulses under different observation angles and different laser pulse intensities are simulated by MATLAB software. The simulation results show that the motion of high-energy electron in the collision process is spiral for the intense laser pulse with initial phase φ 0 = 0 . When the observation angle Φ is 0° and 180°, the collision produces single zeptosecond pulse and double zeptosecond pulse, respectively. At Φ = 0, the peak radiation power of the radiation pulse is the largest, the pulse width is the smallest, and the spectrum presents two rising and falling shapes. At Φ= 180°, except that the spectrum shows the shape of first rising and then falling, other characteristics are opposite to those at Φ= 0°. The above characteristics of the laser pulse with ai = 80 are better than those of the laser pulse with ai = 50.
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