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

【摘要】：在計(jì)算電磁學(xué)領(lǐng)域,目標(biāo)的電磁散射特性分析是一個(gè)重要的研究課題,特別是復(fù)雜媒質(zhì)目標(biāo)的電磁散射特性分析,一直是該領(lǐng)域的研究重點(diǎn)和難點(diǎn)。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(lèi)型周期性目標(biāo)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(diǎn),特別是針對(duì)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(diǎn)。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(yàn)證以及性能對(duì)比。本文主要工作可分為以下三個(gè)部分。第一部分中,介紹了與目標(biāo)電磁散射分析相關(guān)的電磁理論,具體推導(dǎo)了金屬、介質(zhì)以及介質(zhì)金屬混合三類(lèi)目標(biāo)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(lèi)目標(biāo)的電磁散射特性并推導(dǎo)了相關(guān)的矢量計(jì)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(lái)具體介紹了利用綜合函數(shù)矩量法分析目標(biāo)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(kāi)系數(shù)空間的生成方程。緊接著,通過(guò)具體的仿真算例,驗(yàn)證了算法有效性和準(zhǔn)確性,并通過(guò)與矩量法對(duì)比,凸顯了該算法在縮減計(jì)算內(nèi)存方面的巨大優(yōu)勢(shì),特別是在對(duì)于周期結(jié)構(gòu)的分析中,計(jì)算效率提高明顯。最后,根據(jù)綜合函數(shù)矩量法的生成過(guò)程,探討了截?cái)嗾`差和等效源的設(shè)置規(guī)則,分析了算法性能對(duì)于截?cái)嗾`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(jiàn)。第三部分中,重點(diǎn)介紹了綜合函數(shù)矩量法在“類(lèi)周期”目標(biāo)中的應(yīng)用。通過(guò)理論分析和數(shù)值算例說(shuō)明了綜合函數(shù)的生成只與目標(biāo)模塊的幾何形狀有關(guān)。借此,提出了一些算法預(yù)處理過(guò)程,使得綜合函數(shù)矩量法可以適用于旋轉(zhuǎn)和縮放等“類(lèi)周期”結(jié)構(gòu)目標(biāo)中。并進(jìn)一步指出,只要待分析目標(biāo)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(jìn)行求解,并不局限于周期的概念。最后,以一些具體的實(shí)驗(yàn)算例驗(yàn)證結(jié)束本文。通過(guò)暗室測(cè)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(jìn)行了對(duì)比,進(jìn)一步驗(yàn)證了該算法的有效性。并且,針對(duì)叢林目標(biāo)電磁散射特性分析實(shí)例,介紹了綜合函數(shù)矩量法在實(shí)際問(wèn)題中的應(yīng)用,凸顯了其實(shí)際應(yīng)用價(jià)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(xué)位授予單位】：國(guó)防科學(xué)技術(shù)大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類(lèi)號(hào)】：TN011

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本文編號(hào)：2018830