两种正交多项式模拟湍流波前的比较

针对Zemike多项式仅在连续单位圆上正交,用于在离散点上构造光学波前必然会引起误差的问题,本文提出用能够在离散点上正交的多项式来模拟经过大气湍流的光学波前.该方法根据湍流的统计理论,采用Gram-Schmidt正交化方法,构造了Malacara多项式表示的湍流波前,并进行了数值模拟.将模拟结果与直接用Zemike多项式模拟的结果进行了比较分析,结果表明:在相同的条件下,该方法的模拟结果更接近统计理论值.

Comparison of Two Orthogonal Polynomials Simulation Methods for Atmospheric Wavefront

Aiming to the errors which were induced when wavefront was simulated with Zernike polynomials on the discrete points,a set of orthogonal polynomials expressed on a discrete point to simulate turbulent wavefront was proposed. According to the turbulence statistics theory,the turbulent wavefront expressed by Malacara polynomials was constructed with Gram-Schmidt orthogonalization. Compared with the method directly using Zernike polynomials,the results show that the method introduced in the paper is more accur...