In this paper, based on the Lorentz equation and Maxwell's equations the single electron acceleration model was established, we use MATLAB to study the electron dynamics and radiation emission in the field of a relativistic intense laser pulse. In the spatial distribution of the electron appear "ramifications", and the intensity of electron radiation angle of peak time spectrum showed that, when the beam waist radius from 7λ0 to 4λ0, the main peak change from multiple into a single gradually, from 4λ0 the main peak symmetric bimodal pattern is obvious damage, and the intensity of the main peak is mainly on the left side. The radiation peak is positively correlated with the beam waist radius while the pulse width is just the opposite. Combining with the electronic motion images, we find that the change of the growth trend also occurs at 4λ0 and 7λ0. It marks that, it's possibly that there is an intermediate state between the tight-focused and the non-tight-focused.
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