A beam propagation simulation method based on power spectral density method and Zernike tilt

In applications such as astronomical observation, long-range reconnaissance, and laser communication, the atmospheric turbulence severely affects the quality of beam transmission, resulting in distortion and blurring of the received beam. To correct for these distortions and blurring, algorithms can simulate and generate a large number of atmospheric turbulence spot datasets, thereby providing a basis for atmospheric turbulence correction methods.This paper utilizes the power spectrum inversion method to generate the phase screen of atmospheric turbulence. The point spread function is generated through inverse Fourier transformation, and then convolved with a Gaussian beam to make the Gaussian spot blurred. Subsequently, based on the spatial correlation of the Zernike method generates horizontal and vertical tilt amounts and overlaid onto the blurred beam, representing the received beam after propagation through atmospheric turbulence. Set the simulation of beam propagation through atmospheric turbulence under three different atmospheric refractive index constants. Finally, the scintillation index and Rytov variance are calculated by simulating turbulence light spot. Experimental results show that the simulated light spot exhibits distortion and blurring effects. The scintillation index and Rytov variance of 20 sets of experimental turbulent light spot are calculated, and compared with the analytical theoretical curve, achieving a fitting efficiency of over 90%, thus demonstrating the effectiveness of this method in simulating beam propagation under atmospheric turbulence conditions.