基于逐点扫描的波前数据重构

提出一种对孔径网格逐点扫描重构波前的方法。该方法基于Hudgin模型，在孔径阵列的对角线上选取P个已知参考点。每个参考点都按行扫描计算得到一个波面，按列扫描又得到一个波面，这样P个参考点得到2P个波面，对这2P个波面求平均即为重构波面。对如何选择参考点进行了介绍，并说明选择高低坐标对称搭配的参考点为佳。建立了波面相位误差估算模型，并从理论上推出波面重构误差随参考点的增加而改善。对新方法进行了实验证验，与传统的矩阵求逆方法进行比较，结果表明，两种方法效果相当，但新方法计算量更小，具有较强的实用性。

Abstract

By scanning each mesh point of the wave-front, a kind of wave-front reconstruction method is proposed. Based on Hudgin model, the known P reference points are chosen at the diagonal of aperture array. For each reference point, one wave-front is obtained by scanning row data of the array, and another wave-front is obtained by scanning column data of the array. So, 2P wave-fronts are obtained for the P reference points. The average of the 2P wave-fronts is the required. How to choose reference point is introduced. It leads to that the high-low coordinates symmetrical arrange reference points are optimum selection. An error estimation model of wave-front is made. It is concluded that wave-front error is improved as the number of reference point increases. Experiments are performed for the new method and the traditional matrix inversion method. The result of experiments shows that the two methods have equivalent effect, and the new method has less amount of calculation and better practicability.

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刘章文, 谢川林, 刘七华, 袁学文. 基于逐点扫描的波前数据重构[J]. 中国激光, 2014, 41(11): 1102007. Liu Zhangwen, Xie Chuanlin, Liu Qihua, Yuan Xuewen. Wave-Front Reconstruction Based on Point-by-Point Scanning[J]. Chinese Journal of Lasers, 2014, 41(11): 1102007.

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