Based on the classical Thomson scattering theory, a model of the interaction between a single electron and a circularly polarized Gaussian laser pulse is constructed and simulated by MATLAB. We simulated the trajectory of electron motion - longitudinal velocity of electron motion - radiation space state - radiation spectrum map. The results of the study show that the trajectory of electron motion, the position of the collision center and the distribution characteristics of energy radiation are influenced by the change of pulse width. Specifically, an increase in pulse width leads to a leftward shift in the position of the collision center and a gradual decrease in the maximum amplitude of electron motion. In contrast, the maximum radiation energy increases with the pulse width, in which the red-shift phenomenon gradually weakens with the pulse width, and the originally shifted peak of the strongest radiation energy gradually returns to the θ=180° direction, which means that the collimation of radiation is strengthened. We also studied the radiation state and found that the spatial state of the radiation gradually changes from open black hole-like to needle-like as the pulse width increases, a phenomenon that also indicates that the collimation of the radiation becomes better.