光瞳半径对纯位相调制激光束整形系统的影响

发布时间：2018-03-20 02:17

本文选题：激光束整形　切入点：评价函数　出处：《物理学报》2016年04期 　论文类型：期刊论文

【摘要】：光瞳截断作用对纯位相调制激光束整形系统的性能有重要影响.本文提出了一种关于光瞳半径对近场调制位相和远场系统评价函数影响的定量分析方法.通过拉格朗日乘数法等方法分析光瞳半径对近场调制位相的影响,发现近场调制位相随光瞳半径近似线性增加.通过建立数学模型,拟合分析光瞳半径对系统评价函数的影响.结果表明:对方形目标光强,系统评价函数拟合精度确定系数达到99%左右,光瞳半径为2.5倍高斯光束束腰半径时,相关系数达到0.997,光强偏离残差平方均值达到0.0004左右,光瞳截断作用趋于最小;对圆形目标光强,系统评价函数拟合精度确定系数达到97%,光瞳半径为3倍高斯光束束腰半径时,相关系数与光强偏离残差平方均值变化幅度均在10~(-3)量级,系统评价函数趋于收敛,光瞳截断作用趋于最小.
[Abstract]:Pupil truncation has an important effect on the performance of pure phase modulated laser beam shaping system. In this paper, a quantitative analysis method for the effect of pupil radius on the evaluation function of near-field modulation phase and far-field system is presented. The effect of pupil radius on the phase of near-field modulation is analyzed by the method of Grunge multiplier. It is found that the near field modulation phase increases linearly with the pupil radius. The effect of pupil radius on the system evaluation function is analyzed by establishing a mathematical model. When the fitting accuracy coefficient of the system evaluation function is about 99%, the correlation coefficient is 0.997 when the pupil radius is 2.5 times Gao Si beam waist radius, the mean value of light intensity deviation from the square of residual error is about 0.0004, and the pupil truncation tends to be the minimum. For the light intensity of circular target, the coefficient of fitting accuracy of the system evaluation function is 97. When the pupil radius is 3 times Gao Si beam waist radius, the range of variation of correlation coefficient and light intensity deviation from the square mean of residual error is in the order of 10 ~ 3). The system evaluation function tends to converge and the pupil truncation function tends to be minimized.
【作者单位】：中国科学院自适应光学重点实验室;中国科学院光电技术研究所;中国科学院大学;
【基金】：国家自然科学基金(批准号:61108082) 国家重大科学仪器设备开发专项(批准号:2012YQ120080) 科技部十二五支撑计划(批准号:2012BAI08B04)资助的课题~~
【分类号】：TN249

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