非高斯畸变对星间光通信瞄准偏差的影响

Effect of non-Gaussian deformation on pointing error in inter-satellite laser communication systems

提出了一种针对星间激光链路反射式光学天线的非高斯畸变模型,利用该模型研究了波前畸变对系统瞄准偏差的影响,并且与高斯型波前畸变所得结果进行了对比。理论分析和仿真结果表明:对于高斯型和非高斯型畸变,系统的瞄准偏差都会随着畸变范围的增大而增大,随着畸变位置相对光束中心距离的增大先增大后减小。当畸变形状可以用其平均变化量来近似时,随着畸变深度的变化,瞄准偏差呈周期性变化趋势,振荡周期峰值的包络与畸变形状有关;对于不能简单用均值变化量代替其形状的畸变,随着畸变深度的增加,瞄准偏差的变化不具有周期性。仿真结果显示:对口径为0.25 m的反射式光学天线,当遮挡比为0.1时,如果畸变范围超过0.01 m×0.01 m,系统将会产生比较明显的瞄准偏差。

This paper proposes a model of non-Gaussian deformation in inter-satellite laser communication system,and then studies the effect of non-Gaussian deformation on pointing error based on the model in comparison with Gaussian model.Theoretical analyses and numerical simulations show that,pointing error will increase with increasing the scale of deformation,and as the distance from deformation to the center of the optical antenna increases,the pointing error will first increase and then decrease for both Gaussian and non-Gaussian models.If and only if the deformation can be well approximated by its root mean square value,the pointing error can change periodically with the variation in the depth of the deformation and the envelope of the peak value of the fluctuation depends on the original pattern of the deformation.According to the numerical results,for the reflection-type optical antenna with a diameter of 0.25 m and an obscuration ratio of 0.1,pointing error will appear if the scale of deformation is bigger than 0.01 m×0.01 m.