光电工程, 2008, 35 (5): 70, 网络出版: 2010-03-01  

两种正交多项式模拟湍流波前的比较

Comparison of Two Orthogonal Polynomials Simulation Methods for Atmospheric Wavefront
作者单位
1 电子科技大学 光电信息学院,成都 610054
2 北京947信箱,北京 100000
摘要
针对Zernike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Zernike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。
Abstract
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 accurate under the same conditions.

韩勇, 吴健, 杨春平, 何武光, 徐光勇, 叶征宇. 两种正交多项式模拟湍流波前的比较[J]. 光电工程, 2008, 35(5): 70. HAN Yong, WU Jian, YANG Chun-ping, HE Wu-guang, XU Guang-yong, YE Zheng-yu. Comparison of Two Orthogonal Polynomials Simulation Methods for Atmospheric Wavefront[J]. Opto-Electronic Engineering, 2008, 35(5): 70.

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