The integrated model of echo laser pulse (ELP) of a target with arbitrary shape is studied under the condition of the ELP affected by target and atmospheric turbulence simultaneously. The ELPs of two typical targets (a plane and an aspherical surface) are employed to test the validity of the model by analytical expression. Based on simulations of the ELP under different targets and atmospheric turbulence intensity, the results show the ELP of a target with complicated surface is more easily affected by atmospheric turbulence than that with simple surface. Besides that, we study the relationship between the number of grids and the relative error of analytical expression, which is of interest to obtain the optimal number of grids used in the simulations.
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