采用Zernike多项式对大气湍流相位屏的仿真和验证

On simulation and verification of the atmospheric turbulent phase screen with Zernike polynomials

采用Zernike多项式法模拟大气湍流相位屏,并使用大气相干长度和相位结构函数来验证所产生大气湍流相位屏的正确与否。仿真结果表明,Zernike多项式法产生的大气湍流相位屏在低空间频率部分与理论值研究较为相符,但在高空间频率部分的仿真结果与理论值差别较大,这是由于Zenike多项式算法本身存在一定的应用条件。此外,虽然可以通过增加Zernike多项式的阶数或者改变接收口径改变大气湍流相位屏上湍流的分布,但是却存在计算量大,计算复杂等缺点。因此,在激光通信系统的具体应用时,应该综合考虑,选择最佳的实验方案。

In this article Zemike polynomials was used to produce atmospheric turbulence phase screen.ides, the atmospheric coherence length and the phase structure function were used to verify whetherthe atmospheric turbulence phase screen is right or not. Simulation results show that, in the low spatialfrequency components, the atmospheric turbulence phase screen generated with Zemike polynomialmethod was consistent with the theoretical values, but in the high spatial frequency components, thesimulation results had big difference with the theoretical values. This is because Zemike polynomialsmethod has inherent limitations. In addition, the simulation results also show that, the distribution ofturbulence in the atmospheric turbulence phase screen can be changed by increasing the Zemikepolynomials of orders or changing the receiving apertures, but which involves great and complexcalculation. Therefore, in the specific application of the laser communication system, the best experimentalprogram should be considered.