任意多次散射机理的GTD散射中心模型频率依赖因子表达

闫华 张磊 陆金文 邢笑宇 李胜 殷红成

闫华, 张磊, 陆金文, 等. 任意多次散射机理的GTD散射中心模型频率依赖因子表达[J]. 雷达学报, 2021, 10(3): 370–381. doi: 10.12000/JR21005
引用本文: 闫华, 张磊, 陆金文, 等. 任意多次散射机理的GTD散射中心模型频率依赖因子表达[J]. 雷达学报, 2021, 10(3): 370–381. doi: 10.12000/JR21005
YAN Hua, ZHANG Lei, LU Jinwen, et al. Frequency-dependent factor expression of GTD scattering center model for the arbitrary multiple scattering mechanism[J]. Journal of Radars, 2021, 10(3): 370–381. doi: 10.12000/JR21005
Citation: YAN Hua, ZHANG Lei, LU Jinwen, et al. Frequency-dependent factor expression of GTD scattering center model for the arbitrary multiple scattering mechanism[J]. Journal of Radars, 2021, 10(3): 370–381. doi: 10.12000/JR21005

任意多次散射机理的GTD散射中心模型频率依赖因子表达

doi: 10.12000/JR21005
基金项目: 国家重点研发计划(2018YFC0825804)
详细信息
    作者简介:

    闫华:闫 华(1981–),男,博士,电磁散射重点实验室高级工程师,研究方向为雷达目标散射特性、计算电磁学、特征提取、参数化建模等

    张磊:张 磊(1991–),男,博士,电磁散射重点实验室工程师,主要研究方向为雷达目标散射特性、散射中心参数化建模、SAR目标识别等

    陆金文(1994–),男,电磁散射重点实验室博士研究生,主要研究方向为雷达目标散射特性、电磁散射参数化建模等

    李胜:李 胜(1980–),男,硕士,电磁散射重点实验室高级工程师,主要研究方向为雷达目标特征控制、特征提取等

    殷红成(1967–),男,博士,电磁散射重点实验室研究员,研究方向为雷达目标特性、计算电磁学、目标识别等

    通讯作者:

    闫华 yanhuabit@126.com

  • 责任主编:朱国强 Corresponding Editor: ZHU Guoqiang
  • 中图分类号: TN95

Frequency-dependent Factor Expression of the GTD Scattering Center Model for the Arbitrary Multiple Scattering Mechanism

Funds: The National Key Research and Development Program of China (2018YFC0825804)
More Information
  • 摘要: 几何绕射理论(GTD)模型是一种重要的散射中心模型,能准确描述雷达目标主要散射机理的频率依赖行为,但目前在频率依赖因子与散射机理类型之间尚未建立明确、一般的数学关系。该文从射线理论出发,结合几何光学(GO), GTD, 物理绕射理论(PTD)和驻相法(SPM)等方法,推导了理想电导体(PEC)目标任意多次散射机理的频率依赖因子数学表达式。该表达式具有简洁、统一的解析形式,指出散射中心频率依赖因子与形成散射中心的射线反射次数、射线经过的几何元素维数以及射线场焦散情况等因素有关。一系列典型组合体目标的电磁仿真与微波暗室测量数据验证了提出公式的有效性。该文提出的频率依赖因子表达可应用于正向参数化建模中频率依赖因子的正向推算。

     

  • 图  1  圆柱-圆柱垂直组合体的RCS曲线与子带分割示意图

    Figure  1.  RCS curve for cylinder-cylinder orthogonal combination objects and sketch map of frequeny band splitting

    图  2  各子带散射中心参数提取结果

    Figure  2.  Results of scattering center extraction for each sub-band scattering data

    表  1  GTD模型频率依赖因子取值及其对应的散射机理类型

    Table  1.   The values of frequency-dependent factor of GTD model and corresponding mechanisms

    频率依赖因子取值散射机理类型
    1平板、二面角、三面角的反射
    1/2单弯曲曲面的反射
    0双弯曲曲面的反射、直边的绕射
    –1/2曲边的绕射
    –1尖顶、角的绕射
    下载: 导出CSV

    表  2  6种典型体尺寸参数列表

    Table  2.   Size parameters for 6 canonical objects

    典型体名称尺寸参数
    方形平板边长500 mm,厚度10 mm
    圆柱体(1)直径200 mm,长300 mm;(2)直径150 mm,长300 mm
    球体(1)直径100 mm;(2)直径300 mm
    半圆锥体(1)直径50 mm, 100 mm;(2)直径125 mm, 400 mm
    直角四面体(1)底边200 mm,棱边200 mm,劈角20°;(2)底边350 mm,棱边350 mm,劈角50°
    圆盘半径500 mm,厚度8 mm
    下载: 导出CSV

    表  3  20种组合体目标及其中产生的二次反射/绕射机理的几何结构示意与频率依赖因子取值

    Table  3.   Types of double reflection/diffraction mechanisms, 20 combination objects, corresponding geometric diagram and theoretical values of the frequency-dependent factor

    散射机理类型组合体名称几何示意图理论α值
    镜面反射-镜面反射平板-平板(垂直)1
    圆柱-平板(垂直、平行)1/2
    球-平板0
    圆柱-圆柱(垂直、平行)1/2
    球-圆柱0
    球-球0
    边缘绕射-镜面反射直劈-平板(垂直、平行)0
    直劈-圆柱(垂直、平行)0
    直劈-球–1/2
    曲劈-平板–1/2
    曲劈-圆柱–1/2
    曲劈-球–1/2
    边缘绕射-边缘绕射直劈-直劈(垂直、平行)–1/2
    曲劈-直劈–1
    曲劈-曲劈–1
    下载: 导出CSV

    表  4  基于20种组合体仿真数据的二次散射机理形成散射中心的频率依赖因子估计与理论值对比

    Table  4.   Comparison of theoretical frequency-dependent factor values by proposed formula and estimated ones by simulation data for scattering centers induced by double scattering from 20 combination objects

    组合体名称估计α值理论α值组合体名称估计α值理论α值
    VVHHVVHH
    平板-平板(垂直)1.00000.99881直劈-圆柱(垂直)0.03830.00280
    圆柱-平板(垂直)0.50110.49491/2直劈-圆柱(平行)2.90e-4–4.90e-50
    圆柱-平板(平行)0.50150.57531/2直劈-球–0.5040–0.6427–1/2
    球-平板0.0385–0.10480曲劈-平板–0.4957–0.4904–1/2
    圆柱-圆柱(垂直)0.54990.50341/2曲劈-圆柱–0.3976–0.4226–1/2
    圆柱-圆柱(平行)0.54380.38071/2曲劈-球–0.5909–0.6195–1/2
    球-圆柱–0.06160.08310直劈-直劈(垂直)–0.5000–0.5000–1/2
    球-球–0.0591–0.05910直劈-直劈(平行)–0.5000–0.5000–1/2
    直劈-平板(垂直)1.68e-4–0.00530曲劈-直劈–0.9428–1.1978–1
    直劈-平板(平行)–4.05e-7–2.34e-60曲劈-曲劈–0.9428–1.0302–1
    下载: 导出CSV

    表  5  基于2种组合体仿真数据的三次散射机理形成散射中心频率依赖因子估计与理论值对比

    Table  5.   Comparison of theoretical frequency-dependent factor values by proposed formula and estimated ones by simulation data for scattering centers induced by triple scattering from 2 combination objects

    组合体名称几何示意图估计α值理论α值
    垂直三面角结构0.99341
    双顶帽结构0.50971/2
    下载: 导出CSV

    表  6  基于7种组合体暗室测量数据的二次散射机理形成散射中心的频率依赖因子估计与理论值对比

    Table  6.   Comparison of theoretical frequency-dependent factor values by proposed formula and estimated ones by meas urementdata in microwave anechoic chamber for scattering centers induced by double scattering from 7 combination objects

    机理类型组合体名称几何示意图估计α值理论α值
    边缘绕射-镜面反射四面体-圆盘(垂直)0.15890
    边缘绕射-边缘绕射四面体-四面体(垂直)–0.4829–1/2
    边缘绕射-镜面反射四面体-圆柱(平行)–0.04850
    镜面反射-镜面反射平板-圆柱(平行)0.53451/2
    镜面反射-镜面反射直二面角(垂直)1.03141
    镜面反射-镜面反射圆柱-圆盘(垂直)0.50481/2
    镜面反射-镜面反射双圆柱(垂直)0.51151/2
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-01-11
  • 修回日期:  2021-03-01
  • 网络出版日期:  2021-03-23
  • 刊出日期:  2021-06-28

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