Numerical simulation and analysis of aero-optic effects caused by the hyper-speed turbulence fields under different flight conditions were carried out. The aero-optic effects were characterized with the associated optical transfer functions. First, the analysis and computation of the aero-optic effect under different flight conditions were addressed, where the parameters characterizing the hyper-speed turbulence field were obtained by solving its N-S equations via CFD methods. The infrared ray trajectories passing through a flow field of non-homogeneous refraction indices were acquired with the gradient index ray-tracing method, and the transfer function to represent the aero-optic effects was derived using the principles of Fourier optics. The simulation results showed that the aero-optic transfer function is characterized as a low-pass filter, which results in the blurring and shifting of the objects in the acquired images.