Effective tensor approach for simulating the propagation of partially coherent Hermite–sinh–Gaussian beams through an ABCD optical system in turbulent atmosphere

An efficient tensor approach is used to simulate the propagation of partially coherent Hermite-sinh-Gaussian (H-ShG) beams through an ABCD optical system in a turbulent atmosphere. Analytical expressions for the average intensity are derived. The properties of the average intensity of the beam are studied numerically. It is found that the average intensity distribution of the beam is almost independent of the structure constant of turbulence when the spatial coherence length is very small and the beam with larger spatial coherence length is less affected by the turbulent atmosphere. Moreover, the transition from an H-ShG beam into a Gaussian beam becomes quicker with smaller beam order and smaller Sh parameters.