The veracity of method to compute curvilinear trajectories with wide electronics beam is checked by concentric sphere system, and given the evaluation of difference between curvilinear trajectories of ambipolar concentric sphere system and real trajectories of perfect concentric sphere system, which offer the base to the computation of trajectories and aberrations with second order approximation.

This paper introduces the models of turbulence spectrum as the laser signal propagates through the random atmospheric turbulence,analyses the scintillation effect and beam expansion effect under the condition of considering the inner-scale.