In this study, we have deduced the generalized scintillation index of the plane wave and plane wave structure function based on the modified non-Kolmogorov power spectrum of atmospheric refractive index with the spectrum power index α. In addition, we have analyzed the fluctuation of atmospheric density due to thermal blooming. Based on the interaction of six beams in thermal blooming, the thermal phase screening and intensity distribution are simulated. Under the influence of atmospheric turbulence and thermal blooming, the six-beam combination is then simulated numerically to obtain the equivalent radius with long exposure (RL), power in the bucket (PIB), Strehl ratio (SR), and peak value of intensity (Ip). Results show that PIB, Ip, and SR of the pulse beam combination decrease with an increase in α; however, RL operates in reverse mode and the short pulse durations reduce the thermal blooming. Moreover, laser of short duration cannot generate high ring energy on the target.