光学学报, 2011, 31 (4): 0412002, 网络出版: 2011-03-24   

相干合成线阵高斯光束扫描识别猫眼目标理论分析

Theoretical Analysis of Scanning and Identifying Cat-Eye Target with Coherently Combined Array Gaussian Beams
作者单位
装备指挥技术学院, 北京 101416
摘要
提出了一种利用相干合成线阵高斯光束扫描识别漫反射背景中的猫眼目标的新方法。建立了线阵高斯光束的相干合成数学模型,利用Collins衍射积分公式以及将硬边光阑窗口函数分解为有限个复高斯函数之和的方法,推导了相干合成线阵高斯光束通过猫眼目标和朗伯漫反射体反射后的解析光强分布公式。通过数值计算分析了目标尺寸、光束线阵数对反射光时间分布特性的影响。结果表明,朗伯漫反射体的反射光时间分布不具有周期特征,其尺寸越大,时间分布展宽越大;猫眼目标的反射光时间分布周期特征与目标处的光强纵向分布周期特征相似,其口径越大,丢失的频率特征越多。基于该方法可以有效地从复杂漫反射背景中快速识别出猫眼目标,并估计出漫反射体或猫眼目标的尺寸大小。
Abstract
A new identification method of cat-eye target from diffusion reflective background by scanning the coherently combined array Gaussian beams is proposed. The mathematical model of coherent combination of array Gaussian beams is established.By using Collins diffraction integral formula and method of expanding the aperture function into a finite sum of complex Gaussian functions, approximate analytical formulas for coherently combined array Gaussian beams passing through a cat-eye target and a Lambert diffusion reflective target are derived, respectively. Through numerical calculation, effects of array number and target size on the characteristics of the time distribution of the reflected light are studied. It is found that there is no periodic charasteristics in the time distribution of the Lambert diffusion reflective light, and the time distribution width increases along with the increase of the target size. The periodic characteristics of the time distribution of the cat-eye reflected light are similar to those of the y-axis distribution at the position of the target, and the lost frequency charasteristics increase along with the increase of the aperture size of the cat-eye target. So the cat-eye target can be identified from complicated diffusion reflective background easily and quickly, and the size of the diffusion reflective target or the cat-eye target can be estimated.

赵延仲, 孙华燕, 郑勇辉, 章喜. 相干合成线阵高斯光束扫描识别猫眼目标理论分析[J]. 光学学报, 2011, 31(4): 0412002. Zhao Yanzhong, Sun Huayan, Zheng Yonghui, Zhang Xi. Theoretical Analysis of Scanning and Identifying Cat-Eye Target with Coherently Combined Array Gaussian Beams[J]. Acta Optica Sinica, 2011, 31(4): 0412002.

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