自适应光学系统的数值模拟研究

Sara Usama Jasim, Raaid Nawfee Hassan
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摘要

在本研究中,通过MATLAB实现的计算机数值仿真分析了自适应光学(AO)系统的性能。制作相位屏幕涉及将计算机生成的随机数转换为具有匹配统计数据的样本点网格上的相位值的二维数组。冯·卡门湍流的产生取决于功率谱密度。利用模拟的点扩散函数(psf)和调制传递函数(mtf)对不同的弗里德相干直径(ro)值进行了模拟,以反映大气的粗糙程度。为了评价光学系统(望远镜)的有效性,计算了斯特雷尔比(S)。实现了AO系统的补偿程序。采用解析法确定了圆口径望远镜的波前和像差。采用泽尼克多项式来描述剩余误差,并计算补偿对测量湍流值的改变程度。涉及大气湍流的计算机模拟结果表明,提高ro值(4、8、12、16、20、24、28、32)cm导致S增加3.4%。然而,当自适应光学系统在恒定的ro值(20 cm)下工作时,增加泽尼克像差模式导致S显著增加44%,这表明补偿过程有了很大的增强。
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Investigation of Numerical Simulation for Adaptive Optics System
In this study, the performance of the adaptive optics (AO) system was analyzed through a numerical computer simulation implemented in MATLAB. Making a phase screen involved turning computer-generated random numbers into two-dimensional arrays of phase values on a sample point grid with matching statistics. Von Karman turbulence was created depending on the power spectral density. Several simulated point spread functions (PSFs) and modulation transfer functions (MTFs) for different values of the Fried coherent diameter (ro) were used to show how rough the atmosphere was. To evaluate the effectiveness of the optical system (telescope), the Strehl ratio (S) was computed. The compensation procedure for an AO system was implemented. Analytical analysis was used to define the wave front and aberrations of the circular aperture telescope. Zernike polynomials were used to describe the residual error and figure out how much the compensation changed the measured turbulence values. The results of the computer simulation involving atmospheric turbulence reveal that elevating the ro values (4, 8, 12, 16, 20, 24, 28, 32) cm resulted in a 3.4% rise in S. However, when the adaptive optics system operated with a constant ro (20 cm), augmenting the Zernike aberration modes led to a remarkable 44% increase in S, signifying a substantial enhancement in the compensation procedure.
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