金属介质混合目标的时域快速算法研究
发布时间：2019-01-16 08:16
【摘要】：随着科学技术的快速发展,现代工程应用中的系统尤为复杂,如何能够快速准确高效的分析此类问题变得尤为迫切。而构成此类系统的材料主要是由金属与介质混合而成。时域积分方程方法的优势在于分析电磁散射,但是当目标的电尺寸变大时分析起来显得非常吃力,因此本文针对金属介质混合目标的电磁散射研究了一种快速计算方法。本文第一部分主要介绍了本文研究的背景及意义,第二部分着重介绍了基于时间步进的时域积分方程算法的基本理论,通过微分形式的麦克斯韦方程组的表达式,结合边界条件,分别建立面积分方程、体积分方程。使用相应的时间、空间基函数将未知量展开,求解基于时间步进的时域积分方程算法。最后介绍了时域激励源,以及散射场的计算。本文的第三部分主要介绍了时域平面波加速时域体面体积分方程的算法。在分析金属介质组合目标时如果使用时域体面积分方程方法,那么离散得到的未知量庞大,使得此种算法消耗的内存巨大,计算时间太长,难以用于分析电大尺寸目标,为此我们引入时域平面波来加速,减少其消耗的内存,减少计算时间,使其可以对电大尺寸目标进行分析。最后将其并行化,进一步提高其分析电大尺寸目标的能力。本文第四部分着重对闭合金属薄介质单层以及多层涂覆目标的电磁散射特性进行分析。首先,通过麦克斯韦方程组建立散射场方程,然后通过边界条件,将介质中的极化源用金属表面的感应电流源来表示,相比较体面积分方程方法等会大大减少未知量,从而减少计算时消耗的计算机内存和计算时间。同时,随着涂覆介质层数与介电参数的改变,未知量都不会发生改变,相比较其它方法,优势显而易见。
[Abstract]:With the rapid development of science and technology, the application of modern engineering systems is particularly complex, how to quickly, accurately and efficiently analyze such problems becomes particularly urgent. The materials that make up this kind of system are mainly composed of metal and medium. The advantage of time-domain integral equation method lies in the analysis of electromagnetic scattering, but it is very difficult to analyze when the electric size of the target becomes larger. Therefore, this paper studies a fast calculation method for electromagnetic scattering of metal dielectric mixed target. The first part of this paper mainly introduces the background and significance of this study. The second part mainly introduces the basic theory of time-domain integral equation algorithm based on time step, and the expression of Maxwell equations in differential form. Based on the boundary conditions, the area fractional equation and the volume integral equation are established respectively. Using the corresponding time, the spatial basis function expands the unknown quantity and solves the time domain integral equation algorithm based on time step. Finally, the time domain excitation source and the calculation of scattering field are introduced. The third part of this paper mainly introduces the algorithm of time domain plane wave accelerating time domain decent volume integral equation. If the time domain decent integral equation method is used in the analysis of metal dielectric composite targets, the discretized unknown amount is huge, which makes the computation time too long to be used to analyze electrically large size targets. Therefore, we introduce the time domain plane wave to speed up, reduce the memory consumption, reduce the calculation time, and make it possible to analyze the electrically large size target. Finally, it is parallelized to further improve its ability to analyze large size targets. In the fourth part of this paper, the electromagnetic scattering characteristics of the single layer and multilayer coated target in the closed metal thin medium are analyzed. First, the scattering field equation is established by Maxwell's equations, and then the polarization source in the medium is represented by the inductive current source on the metal surface through the boundary condition. Compared with the decent integral equation method and so on, the unknown amount is greatly reduced. Thus, the computer memory and computing time are reduced. At the same time, with the change of the number of coating dielectric layers and dielectric parameters, the unknown quantity will not change, compared with other methods, the advantages are obvious.
【学位授予单位】：南京理工大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TN011
本文编号：2409635
[Abstract]:With the rapid development of science and technology, the application of modern engineering systems is particularly complex, how to quickly, accurately and efficiently analyze such problems becomes particularly urgent. The materials that make up this kind of system are mainly composed of metal and medium. The advantage of time-domain integral equation method lies in the analysis of electromagnetic scattering, but it is very difficult to analyze when the electric size of the target becomes larger. Therefore, this paper studies a fast calculation method for electromagnetic scattering of metal dielectric mixed target. The first part of this paper mainly introduces the background and significance of this study. The second part mainly introduces the basic theory of time-domain integral equation algorithm based on time step, and the expression of Maxwell equations in differential form. Based on the boundary conditions, the area fractional equation and the volume integral equation are established respectively. Using the corresponding time, the spatial basis function expands the unknown quantity and solves the time domain integral equation algorithm based on time step. Finally, the time domain excitation source and the calculation of scattering field are introduced. The third part of this paper mainly introduces the algorithm of time domain plane wave accelerating time domain decent volume integral equation. If the time domain decent integral equation method is used in the analysis of metal dielectric composite targets, the discretized unknown amount is huge, which makes the computation time too long to be used to analyze electrically large size targets. Therefore, we introduce the time domain plane wave to speed up, reduce the memory consumption, reduce the calculation time, and make it possible to analyze the electrically large size target. Finally, it is parallelized to further improve its ability to analyze large size targets. In the fourth part of this paper, the electromagnetic scattering characteristics of the single layer and multilayer coated target in the closed metal thin medium are analyzed. First, the scattering field equation is established by Maxwell's equations, and then the polarization source in the medium is represented by the inductive current source on the metal surface through the boundary condition. Compared with the decent integral equation method and so on, the unknown amount is greatly reduced. Thus, the computer memory and computing time are reduced. At the same time, with the change of the number of coating dielectric layers and dielectric parameters, the unknown quantity will not change, compared with other methods, the advantages are obvious.
【学位授予单位】：南京理工大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TN011
【参考文献】
相关博士学位论文 前2条
1 樊振宏;电磁散射分析中的快速方法[D];南京理工大学;2007年
2 任猛;时域边界积分方程及其快速算法的研究与应用[D];国防科学技术大学;2008年
，本文编号：2409635
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