Using the theory of single free electron in the form of Thomson scattering, through theoretical calculations and computer simulations, the properties of radiation pulses generated by ultrashort laser pulses are studied. Calculations show that in this case, the pulse width of the electron’s maximum radiation pulse reaches on the order of attosecond. We focus on nonlinear Thomson scattering. Under the condition of circularly polarized tightly focused laser pulses (b0 = 3λ0), we change the intensity of the incident laser. Generally, under the condition of relativistic laser intensity, keep the beam waist radius not changing, the larger the incident laser’s peak amplitude (a0), the larger the maximum of electron radiation power. After that, we focused on the temporal characters at the angle when the electron radiated power was at its maximum. At some special incident laser’s peak amplitude (a0), the change of pulse width in electron radiation power has some rules. We divide the change of pulse width into three categories according to the number of maximal values in the angular distribution of the radiation energy, and discuss the regularity of them separately.
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