本文選題：表面積分方程 + 復(fù)雜媒質(zhì)��； 參考：《國防科學技術(shù)大學》2015年碩士論文

【摘要】：在計算電磁學領(lǐng)域,目標的電磁散射特性分析是一個重要的研究課題,特別是復(fù)雜媒質(zhì)目標的電磁散射特性分析,一直是該領(lǐng)域的研究重點和難點。本文基于表面積分方程,分析了金屬、均勻介質(zhì)以及介質(zhì)金屬混合三種媒質(zhì)類型周期性目標的電磁散射特性,分別利用了矩量法和綜合函數(shù)矩量法作為求解手段。其中,綜合函數(shù)矩量法是本文的研究重點,特別是針對介質(zhì)金屬混合結(jié)構(gòu)的綜合函數(shù)矩量法是本文的最大創(chuàng)新點。此外,矩量法作為一種成熟的經(jīng)典算法,被本文用作綜合函數(shù)矩量法的結(jié)果驗證以及性能對比。本文主要工作可分為以下三個部分。第一部分中,介紹了與目標電磁散射分析相關(guān)的電磁理論,具體推導了金屬、介質(zhì)以及介質(zhì)金屬混合三類目標的表面積分方程。然后,基于EFIE,PMCHW方程以及EFIE—PMCHW方程,利用矩量法分別分析了這三類目標的電磁散射特性并推導了相關(guān)的矢量計算公式。第二部分中,首先介紹了綜合函數(shù)矩量法的算法思想和基本原理。接下來具體介紹了利用綜合函數(shù)矩量法分析目標電磁散射特性的操作方法,總結(jié)歸納出了綜合函數(shù)的生成理論并給出了綜合函數(shù)展開系數(shù)空間的生成方程。緊接著,通過具體的仿真算例,驗證了算法有效性和準確性,并通過與矩量法對比,凸顯了該算法在縮減計算內(nèi)存方面的巨大優(yōu)勢,特別是在對于周期結(jié)構(gòu)的分析中,計算效率提高明顯。最后,根據(jù)綜合函數(shù)矩量法的生成過程,探討了截斷誤差和等效源的設(shè)置規(guī)則,分析了算法性能對于截斷誤差的敏感性,并為相關(guān)參數(shù)的設(shè)置提供了參考性意見。第三部分中,重點介紹了綜合函數(shù)矩量法在“類周期”目標中的應(yīng)用。通過理論分析和數(shù)值算例說明了綜合函數(shù)的生成只與目標模塊的幾何形狀有關(guān)。借此,提出了一些算法預(yù)處理過程,使得綜合函數(shù)矩量法可以適用于旋轉(zhuǎn)和縮放等“類周期”結(jié)構(gòu)目標中。并進一步指出,只要待分析目標的不同模塊之間的幾何形狀具有相似性,均可以利用綜合函數(shù)矩量法進行求解,并不局限于周期的概念。最后,以一些具體的實驗算例驗證結(jié)束本文。通過暗室測量了一些典型微帶貼片結(jié)構(gòu)的空間RCS分布特性,并與綜合函數(shù)矩量法的結(jié)果進行了對比,進一步驗證了該算法的有效性。并且,針對叢林目標電磁散射特性分析實例,介紹了綜合函數(shù)矩量法在實際問題中的應(yīng)用,凸顯了其實際應(yīng)用價值。
[Abstract]:In the field of computational electromagnetics, the analysis of electromagnetic scattering characteristics of targets is an important research topic, especially the electromagnetic scattering characteristics of complex medium targets, which has always been the focus and difficulty in this field. In this paper, based on the surface integral equation, the electromagnetic scattering characteristics of periodic targets in metal, homogeneous medium and mixed medium are analyzed. The method of moment and the method of moment of synthesis function are used as the means to solve the problem, respectively. Among them, the method of moments of synthesis function is the focus of this paper, especially the method of moments of synthesis function for the mixed structure of dielectric metal is the most innovative point in this paper. In addition, as a mature classical algorithm, the method of moments is used in this paper to verify the results of the method of moments of synthetic functions and to compare its performance. The main work of this paper can be divided into the following three parts. In the first part, the electromagnetic theory related to the electromagnetic scattering analysis of the target is introduced, and the surface area fractional equations of metal, medium and dielectric metal mixture are derived in detail. Then, based on the EFIEE-PMCHW equation and EFIE-PMCHW equation, the electromagnetic scattering characteristics of these three kinds of targets are analyzed by the method of moments, and the relevant vector calculation formulas are derived. In the second part, the algorithm and basic principle of the method of moments are introduced. Then the paper introduces the operation method of analyzing the electromagnetic scattering characteristics of the target by using the method of moments, summarizes the generating theory of the synthesis function and gives the generating equation of the expansion coefficient space of the synthesis function. Then, the validity and accuracy of the algorithm are verified by a specific simulation example, and compared with the method of moments, it highlights the huge advantages of the algorithm in reducing the memory, especially in the analysis of the periodic structure. The calculation efficiency is improved obviously. Finally, according to the generation process of the method of moments of synthetic function, the setting rules of truncation error and equivalent source are discussed, the sensitivity of algorithm performance to truncation error is analyzed, and the reference advice is provided for the setting of relevant parameters. In the third part, the application of the method of moments of synthetic function in the object of "class period" is introduced. Theoretical analysis and numerical examples show that the generation of the synthesis function is only related to the geometric shape of the target module. In this paper, some preprocessing processes of the algorithm are proposed, so that the method of moments of synthetic functions can be applied to the "periodic" structure targets such as rotation and scaling. It is further pointed out that as long as the geometric shapes of different modules of the target to be analyzed are similar, they can be solved by using the method of moments of comprehensive functions, and not limited to the concept of periodicity. Finally, some specific experimental examples are given to verify the conclusion of this paper. The spatial RCS distribution characteristics of some typical microstrip patch structures are measured in the darkroom, and compared with the results of the method of moments of synthetic functions, which further verify the effectiveness of the proposed algorithm. Based on the analysis of electromagnetic scattering characteristics of jungle targets, this paper introduces the application of the method of moments of synthetic functions in practical problems, which highlights the practical application value of the method.
【學位授予單位】：國防科學技術(shù)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)期刊論文 前1條

1 袁宏偉;龔書喜;王文濤;;一種分析大型陣列天線散射的新方法[J];西安電子科技大學學報;2010年01期

相關(guān)博士學位論文 前2條

1 袁宏偉;目標散射精確分析及微帶天線RCS控制技術(shù)研究[D];西安電子科技大學;2009年

2 董健;邊界積分方程及快速算法在分析復(fù)雜電磁問題中的研究與應(yīng)用[D];國防科學技術(shù)大學;2005年

相關(guān)碩士學位論文 前3條

1 郭志亮;綜合函數(shù)矩量法在目標散射特性分析中的應(yīng)用研究[D];國防科學技術(shù)大學;2013年

2 夏燦;介質(zhì)目標電磁散射特性的矩量法分析[D];安徽大學;2010年

3 李毅;電磁場中的快速多極子方法研究[D];中國人民解放軍國防科學技術(shù)大學;2002年

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