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基于几何光学法和惠更斯原理的微波暗室性能分析
引用本文:李想,张锐,赵金龙,王力工.基于几何光学法和惠更斯原理的微波暗室性能分析[J].数学的实践与认识,2012,42(14):192-201.
作者姓名:李想  张锐  赵金龙  王力工
作者单位:1. 西北工业大学航天学院,陕西西安,710072
2. 西北工业大学理学院应用数学系,陕西西安,710072
摘    要:微波暗室在导弹导引仿真中已广泛使用,针对导弹导引仿真试验中用到的微波暗室的静区性能评估问题,分别建立了基于几何光学法和惠更斯原理的评价分析模型.此模型考虑了暗室空间内各个壁面电磁辐射的相互影响,将壁面看作次级余弦辐射体,建立了描述壁面任一点垂直辐射强度的积分微分方程.通过离散方法将问题转化为求解线性方程组的数值问题.计算得到暗室壁面辐射强度分布以及性能指标γ.结果表明,垂直反射率为0.5时不满足要求,而0.05时满足要求.最后考察了模型的收敛性,随着离散度的增高,计算结果趋于稳定.

关 键 词:微波暗室  几何光学法  惠更斯原理  微分积分方程  离散化算法

Performance Analysis of Microwave Anechoic Chamber Based on Geometrical Optics Method and Huygens' Principle
LI Xiang , ZHANG Rui , ZHAO Jin-long , WANG Li-gong.Performance Analysis of Microwave Anechoic Chamber Based on Geometrical Optics Method and Huygens' Principle[J].Mathematics in Practice and Theory,2012,42(14):192-201.
Authors:LI Xiang  ZHANG Rui  ZHAO Jin-long  WANG Li-gong
Institution:1.School of Astronautics,Northwestern Polytechnical University,Xi’an 710072,China) (2.Department of Applied Mathematics,School of Science,Northwestern Polytechnical University,Xi’an 710072,China)
Abstract:The microwave anechoic chambers have been widely used in missile guidance simulation.This paper mainly investigates the problem of evaluating the performance of the chambers through geometrical optics method and Huygens’ Principle.The interplay of electromagnetic radiation between different walls has been accounted into the model.An integrodifferential equation was built to describe the electromagnetic radiation,in which the walls are considered as subordinated cosine radiating body.Then,the problem was solved using discretization method.The radiation intensity distribution and performance index 7 were obtained.The results show that for the reflectance of 0.5,the performance doesn’t meet the simulation requirement,while for the reflectance of 0.05 the performance does.At last, the convergence of behavior of the model was investigated which shows that the computation accuracy increase with decreasing of the infinitesimal element.The model is reliable.
Keywords:microwave anechoic chamber  geometrical optics method  Huygens’ Principle  integrodifferential equation  discretization method
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