In this paper, the coupling influence of laser optical property parameters on nonlinear forward Thomson scattering is comprehensively investigated from the perspectives of electrodynamic properties, spatio-temporal properties, and frequency domain properties. Based on the study of all radiation patterns, the influence laws and mechanisms of each parameter are revealed, and the detailed process of the radiation pattern evolution is demonstrated. The variation rules of peak radiated power and optimal detection direction are summarized through the study of cross parameters. The formation of space radiation is demonstrated from the perspective of a three-dimensional temporal spectrum, and the root causes of differences in radiation patterns are compared. The time-compression effect is discovered, explaining the nature of nonlinear Thomson scattering modulation of high-energy X-rays. And the dependence of the spectral distribution on radiation patterns is explored from the perspective of the frequency domain. The inverse inference of the radiation source parameters based on the demand of X-ray properties is proposed, which accomplishes a great leap from passive detection to active on-demand modulation.