Relationship between Gaussian beam quality and wavefront aberration

In order to investigate the relationship between the truncated Gaussian beam and wavefront aberration, the parameter of Gaussian beam factor was proposed to evaluate the beam quality of the truncated Gaussian laser. The influence of wavefront aberration of optical system on Gaussian beam quality was analyzed by using numerical simulation method and the fitting relationship between Gaussian beam quality factor and wavefront aberration was given. As an example, the relationship between Gaussian beam quality and atmospheric turbulence strength with Kolmogoroff spectral was discussed and their fitting formula was given. The calculating results show that the fitted curve is in good agreement with the corresponding simulated data in a relatively wide range of turbulence strength, which further validate the correctness of the fitting formula between Gaussian beam factor and wavefront aberration.