基于高阶阻抗边界条件的涂敷目标电磁散射分析

发布时间：2018-05-23 12:25

本文选题：高阶阻抗边界条件 + 涂敷目标　；参考：《南京理工大学》2017年硕士论文

【摘要】：涂敷目标的电磁散射分析在实际应用中具有十分重要的意义,尤其在雷达隐身和反隐身、雷达识别和反识别、精密制导及仿真技术领域起着极其重要的作用。因此如何准确、快速地分析涂敷目标的电磁特性,长期以来一直是计算电磁学领域的研究重点。为此,本文开展了对于涂敷目标电磁散射分析中的高效求解方法的研究。阻抗边界条件通过建立涂敷目标外表面上切向电场与切向磁场的关系,再与边界积分方程联立求解得到表面等效电磁流,为分析涂敷目标的散射特性提供了简捷而有效的计算方法。本文以涂敷目标的散射问题和高阶阻抗边界条件为研究对象,做了以下几方面的工作:首先,介绍了涂敷目标电磁散射分析主要的积分方程方法,分析了它们的优势以及局限性;其次,着重介绍了高阶阻抗边界条件理论,推导出高阶阻抗边界条件表达式,并具体探讨了高阶阻抗边界条件与频域积分方程方法相结合的数值实现过程,并在实现过程中针对高阶阻抗边界条件中的高阶偏微分项进行了简化处理,并给出数值算例验证了该方法的正确性和实用性;最后,介绍了利用高阶阻抗边界条件结合时域积分方程分析涂敷目标的电磁散射特性,详细推导了时间步进算法用于求解基于高阶阻抗边界条件的时域积分方程的具体步骤,包括采用矢量匹配法结合递归卷积处理时域高阶阻抗边界条件得到涂敷目标表面切向电场和表面电流之间递推关系。数值算例验证了该方法的正确性与稳定性。
[Abstract]:Electromagnetic scattering analysis of coated targets is of great significance in practical applications, especially in the fields of radar stealth and anti-stealth, radar recognition and anti-recognition, precision guidance and simulation technology. Therefore, how to accurately and quickly analyze the electromagnetic characteristics of coated targets has been the focus of computational electromagnetics for a long time. Therefore, an efficient method for solving the electromagnetic scattering analysis of coated targets is studied in this paper. By establishing the relationship between the tangential electric field and the tangential magnetic field on the outer surface of the coated target, the impedance boundary condition is solved in conjunction with the boundary integral equation to obtain the surface equivalent electromagnetic current. It provides a simple and effective method for analyzing the scattering characteristics of coated targets. In this paper, the scattering problem of coated targets and the high order impedance boundary conditions are studied. The following works are done: firstly, the main integral equation methods for electromagnetic scattering analysis of coated targets are introduced. Their advantages and limitations are analyzed. Secondly, the theory of high order impedance boundary conditions is introduced, and the expression of high order impedance boundary conditions is derived. The numerical realization of the combination of high-order impedance boundary condition and frequency-domain integral equation method is discussed, and the high-order partial differential term in the high-order impedance boundary condition is simplified. Numerical examples are given to verify the correctness and practicability of the method. Finally, the electromagnetic scattering characteristics of coated targets are analyzed by using high-order impedance boundary conditions and time-domain integral equations. The specific steps of time-domain integral equation based on high-order impedance boundary condition are derived in detail. The recursive relationship between the tangential electric field and the surface current of the coated target surface is obtained by using the vector matching method combined with recursive convolution to deal with the high order impedance boundary conditions in time domain. Numerical examples verify the correctness and stability of the method.
【学位授予单位】：南京理工大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TN011

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