本文選題：矩量法 + 積分方程��； 參考：《西安電子科技大學(xué)》2014年碩士論文

【摘要】：現(xiàn)今通信行業(yè)迅速發(fā)展,對(duì)設(shè)備提出了小型化,輕質(zhì)量,高效率等要求,微帶結(jié)構(gòu)因具備這些獨(dú)有的特性而得到廣泛應(yīng)用,已經(jīng)深入到航空、航天通信等領(lǐng)域,所以對(duì)微帶結(jié)構(gòu)的研究變得愈加重要,分析微帶結(jié)構(gòu)的電磁散射與輻射特性也成為研究領(lǐng)域的一個(gè)不可忽視的課題。在微帶結(jié)構(gòu)的研究中,常用的方法有時(shí)域有限差分法(FDTD)和矩量法(MOM)。時(shí)域有限差分法,它編程簡(jiǎn)單而且通用性好,可以一次性地計(jì)算全頻帶的響應(yīng),但為了達(dá)到精度要求,在使用該方法時(shí),分層薄介質(zhì)結(jié)構(gòu)的垂直方向上,網(wǎng)格剖分的必須足夠小,因而導(dǎo)致計(jì)算量的增大。而在使用矩量法分析時(shí),常用的方法有譜域?qū)Э狗?SDI)和空域矩量法,其中使用譜域?qū)Э狗ǹ梢酝茖?dǎo)出分層介質(zhì)中任意形狀的金屬貼片的譜域格林函數(shù),基于混合雙位方程(MPIE)的空域矩量法可以推導(dǎo)出空域格林函數(shù)。在實(shí)際處理過程中,會(huì)涉及到索莫菲爾德積分(SI),這個(gè)積分具有高振蕩慢衰減的特性,可以采用使用離散復(fù)鏡像法(DCIM)處理。本文是應(yīng)用基于表面積分方程的矩量法來分析微帶結(jié)構(gòu)。首先從矩量法的基本原理入手,逐步分析了理想導(dǎo)體、純介質(zhì)及涂敷介質(zhì)結(jié)構(gòu)的模型,基于表面積分方程法,使用空間格林函數(shù),得出不同類型散射體的表面積分方程,對(duì)公式進(jìn)行了詳細(xì)的推導(dǎo),從而計(jì)算任意形狀的大型散射體的遠(yuǎn)場(chǎng)分布。以此為基礎(chǔ),分析微帶結(jié)構(gòu)模型,同樣利用表面積分方程法,得出微帶結(jié)構(gòu)的散射特性,改變饋電方式,從而算得微帶天線等微帶結(jié)構(gòu)的輻射場(chǎng)�？紤]到矩量法中不存在理想吸收邊界,所以無反射的波端口的建模對(duì)天線饋電的計(jì)算至關(guān)重要。這里使用孔徑耦合的等效原理和模式匹配法(MMM)對(duì)波端口進(jìn)行建模,假設(shè)波端口外側(cè)接一無限長(zhǎng)同軸線,來模擬端口的匹配狀態(tài),進(jìn)而求出微帶結(jié)構(gòu)天線、濾波器的輻射特性和S參數(shù)等。最后,本文簡(jiǎn)略地介紹了另外兩種方法,即開路法和模擬匹配負(fù)載法,用以解決微帶結(jié)構(gòu)的阻抗匹配問題。與空域矩量法相比,本文方法操作更簡(jiǎn)便,不需要特意推導(dǎo)空域格林函數(shù)的解,也不需要處理索莫菲爾德積分,而且達(dá)到較高的精度。
[Abstract]:With the rapid development of communication industry, the requirement of miniaturization, light quality, high efficiency and so on has been put forward. The microstrip structure has been widely used because of its unique characteristics, and has been widely used in the fields of aviation, aerospace communication, etc. Therefore, the study of microstrip structure has become more and more important, and the analysis of electromagnetic scattering and radiation characteristics of microstrip structure has become a research field that can not be ignored. In the study of microstrip structure, the commonly used methods are FDTD (finite-difference time-domain method) and MOM (moment method). The finite difference time domain (FDTD) method is simple and versatile, and can be used to calculate the response of the whole frequency band at one time. However, in order to achieve the accuracy requirement, the vertical direction of the layered thin dielectric structure is obtained when using this method. The mesh must be small enough to increase the amount of computation. The spectral domain conductance method (SDI) and the spatial domain moment method (SDI) are commonly used in the analysis with the method of moment, in which the spectral domain Green's function of the metal patch of arbitrary shape in layered medium can be derived by using the spectral domain method. The spatial Green's function can be derived by the spatial moment method based on the mixed double position equation (MPIEs). In the process of practical processing, the Somerfeld integral (SI) is involved, which has the characteristics of high oscillation and slow attenuation, and can be processed by using discrete complex image method (DCIMM). In this paper, the method of moment based on surface integral equation is used to analyze the structure of microstrip. Starting with the basic principle of the method of moments, the models of ideal conductor, pure medium and coated medium are analyzed step by step. Based on the surface integral equation method and using the spatial Green's function, the surface area fractional equations of different types of scatterers are obtained. The formula is derived in detail to calculate the far-field distribution of large scatterers with arbitrary shape. On this basis, the microstrip structure model is analyzed, and the scattering characteristics of the microstrip structure are obtained by using the surface integral equation method, and the feeding mode is changed, thus the radiation field of the microstrip structure such as the microstrip antenna is calculated. Considering that there is no ideal absorbing boundary in the method of moments, the modeling of non-reflective wave ports is very important to the calculation of antenna feed. In this paper, the equivalent principle of aperture coupling and the mode matching method are used to model the wave port. Assuming an infinite coaxial line is attached to the outside of the wave port, the matching state of the port is simulated, and the microstrip structure antenna is obtained. The radiation characteristics and S parameters of the filter. Finally, two other methods, open circuit method and simulated matching load method, are briefly introduced to solve the impedance matching problem of microstrip structure. Compared with the spatial method of moments, this method is simpler to operate, and does not need to deduce the solution of the spatial Green's function, nor does it need to deal with the Sommerfeld integral, and achieves a higher accuracy.
【學(xué)位授予單位】：西安電子科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2014
【分類號(hào)】：TN822

【參考文獻(xiàn)】

相關(guān)期刊論文 前1條

1 鄭文泉;萬國(guó)賓;秦濤;程茜;;微帶結(jié)構(gòu)Sommerfeld積分奇異性分析和表面波極點(diǎn)有效提取[J];微波學(xué)報(bào);2012年03期

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本文編號(hào)：1898060