【摘要】：隨著科學技術(shù)的快速發(fā)展,現(xiàn)代工程應(yīng)用中的系統(tǒng)尤為復(fù)雜,如何能夠快速準確高效的分析此類問題變得尤為迫切。而構(gòu)成此類系統(tǒng)的材料主要是由金屬與介質(zhì)混合而成。時域積分方程方法的優(yōu)勢在于分析電磁散射,但是當目標的電尺寸變大時分析起來顯得非常吃力,因此本文針對金屬介質(zhì)混合目標的電磁散射研究了一種快速計算方法。本文第一部分主要介紹了本文研究的背景及意義,第二部分著重介紹了基于時間步進的時域積分方程算法的基本理論,通過微分形式的麥克斯韋方程組的表達式,結(jié)合邊界條件,分別建立面積分方程、體積分方程。使用相應(yīng)的時間、空間基函數(shù)將未知量展開,求解基于時間步進的時域積分方程算法。最后介紹了時域激勵源,以及散射場的計算。本文的第三部分主要介紹了時域平面波加速時域體面體積分方程的算法。在分析金屬介質(zhì)組合目標時如果使用時域體面積分方程方法,那么離散得到的未知量龐大,使得此種算法消耗的內(nèi)存巨大,計算時間太長,難以用于分析電大尺寸目標,為此我們引入時域平面波來加速,減少其消耗的內(nèi)存,減少計算時間,使其可以對電大尺寸目標進行分析。最后將其并行化,進一步提高其分析電大尺寸目標的能力。本文第四部分著重對閉合金屬薄介質(zhì)單層以及多層涂覆目標的電磁散射特性進行分析。首先,通過麥克斯韋方程組建立散射場方程,然后通過邊界條件,將介質(zhì)中的極化源用金屬表面的感應(yīng)電流源來表示,相比較體面積分方程方法等會大大減少未知量,從而減少計算時消耗的計算機內(nèi)存和計算時間。同時,隨著涂覆介質(zhì)層數(shù)與介電參數(shù)的改變,未知量都不會發(fā)生改變,相比較其它方法,優(yōu)勢顯而易見。
[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.
【學位授予單位】：南京理工大學
【學位級別】：碩士
【學位授予年份】：2015
【分類號】：TN011

【參考文獻】

相關(guān)博士學位論文 前2條

1 樊振宏;電磁散射分析中的快速方法[D];南京理工大學;2007年

2 任猛;時域邊界積分方程及其快速算法的研究與應(yīng)用[D];國防科學技術(shù)大學;2008年

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本文編號：2409635