中国激光, 2017, 44 (12): 1205001, 网络出版: 2017-12-11   

相干高斯光束通过卡塞格伦镜头反射光的时间分布特性

Temporal Distribution Characteristics of Reflection Light of Coherent Gaussian Beams Passing Through Cassegrain Lens
作者单位
装备学院光电装备系, 北京 101416
摘要
利用物理光学的相关知识、Collins衍射积分公式以及硬边光阑的复高斯函数分解法, 推导得到相干基模高斯光束通过卡塞格伦镜头原路返回点处的反射光时间分布的解析表达式。数值仿真分析了条纹间距和中心遮挡比对卡塞格伦镜头反射光时间分布的影响, 设计实验并对数值计算结果进行验证。结果表明: 随着条纹间距的增大, 卡塞格伦镜头反射光的时间分布峰数目减少, 峰值光强减小, 回波曲线包络中的频率点分量减少; 中心遮挡比的增大将引起反射光时间分布的能量和频率分量的丢失; 随着扫描速度的增大, 回波信号的分布变得密集, 呈现方差减小、偏度和峰度增大的趋势; 卡塞格伦镜头和透射式镜头的回波信号的峰度特征在数值上差异明显, 可以通过回波信号的统计特征区分折反式镜头目标和透射式镜头目标。所获得的结果对激光主动干涉探测识别技术的应用具有重要意义。
Abstract
Relation knowledge of physical optics, Collins diffraction integral formula and the complex Gaussies function decomposition method of hard edge aperture are used to deduce the temporal distribution expressions of the reflection light of the coherent base mode Gaussian beam passing through the Cassegrain lens at back point. Influences of the fringe spacing and center shade ratio on the temporal distribution of the reflection light of Cassegrain lens are analyzed by numerical simulation. Experiments are designed and numerical results are verified. Results show that when the fringe spacing increases, peak number and peak intensity of the reflection light temporal distribution of Cassegrain lens reduce, and the frequency component of the echo envelope decreases. The increase of the center shade ratio leads to the loss of the energy and frequency components of the reflection light temporal distribution. With the increase of scanning speed, the distribution of echo signal becomes dense, and shows the trend of decreasing variance and increasing skewness and kurtosis. Kurtosis characteristics of the echo signal of Cassegrain lens and transmission lens are numerically different, and the two lens targets can be distinguished by the statistical characteristics of the echo signal. Results are meaningful to the application of laser active interferometric detection and recognition technology.

单聪淼, 孙华燕, 赵延仲, 陈剑彪. 相干高斯光束通过卡塞格伦镜头反射光的时间分布特性[J]. 中国激光, 2017, 44(12): 1205001. Shan Congmiao, Sun Huayan, Zhao Yanzhong, Chen Jianbiao. Temporal Distribution Characteristics of Reflection Light of Coherent Gaussian Beams Passing Through Cassegrain Lens[J]. Chinese Journal of Lasers, 2017, 44(12): 1205001.

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