光学 精密工程, 2015, 23 (3): 667, 网络出版: 2015-04-20   

相关K分布法在氧气吸收被动测距中的应用

Application of CKD method to passive ranging by oxygen absorption
作者单位
1 军械工程学院 电子与光学工程系, 河北 石家庄 050003
2 中国人民解放军 71192部队, 山东 威海 264200
摘要
为快速、准确地解算氧气吸收被动测距技术中氧气吸收率所对应的路径长度,对该项技术中氧气吸收率与路径长度的数学模型进行了研究.首先证明了不同温度压强下氧气吸收系数分布的强相关性,给出了吸收系数分布随温度和压强的变化规律;其次利用相关K分布法和曲面地球模型建立了实际非均匀路径上氧气吸收率与路径长度的数学模型;最后对提出的模型进行了理论分析与实验验证.结果显示:本文数学模型不仅能够很好地适应不同大气模式的变化,而且能够快速、准确地计算出指定路径上的氧气吸收率曲线和目标距离;平均数学模型下的相对测距误差为44%,消除背景减小测量误差后数学模型解算距离的相对误差仅为1%.结论表明:利用相关K分布法建立的数学模型能够很好地解决氧气吸收被动测距技术中的距离反演问题,可为被动测距技术的进一步优化和应用提供理论支撑.
Abstract
To quickly and accurately solve the path length corresponding with the oxygen absorptivity of oxygen absorption passive ranging technology,this paper explores the mathematical model on oxygen absorptivity and path length.Firstly,the strong correlation of different absorption coefficient distributions under different temperatures and pressures was verified and the relation between absorption coefficient distributions and temperatures,pressures was given.Then,the mathematical model on oxygen absorptivity and path length was established by using Correlation-K Distribution(CKD) method and surface Earths model.Finally,the theoretical analysis and experimental checking were performed.The results show that this mathematical model not only well adapts to altered atmospheric models,but also quickly and accurately calculates the oxygen absorptivity curves of specified path and the target distances.The relative ranging error is 4.4% under average math mode,but the relative error is only 1% after eliminating background and reducing measurement errors.The conclusion shows that the math mode solves the ranging inverse problem of the oxygen absorption passive ranging technology,and provides some theoretical supports for the further optimiz and application of passive ranging technology.

闫宗群, 刘秉琦, 华文深, 张瑜, 李刚, 周斌, 沈宏斌. 相关K分布法在氧气吸收被动测距中的应用[J]. 光学 精密工程, 2015, 23(3): 667. YAN Zong-qun, LIU Bing-qi, HUA Wen-shen, ZHANG Yu, LI Gang, ZHOU Bin, SHEN Hong-bin. Application of CKD method to passive ranging by oxygen absorption[J]. Optics and Precision Engineering, 2015, 23(3): 667.

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