發(fā)布時間：2018-09-17 18:28

【摘要】：矩量法是計算電磁學(xué)中一種非常重要的數(shù)值方法,它具有精確性、通用性和高效性等優(yōu)點,因此其在電磁散射和電磁輻射問題中得到了廣泛的應(yīng)用。對于矩量法的學(xué)習(xí)和研究有助于我們?nèi)ダ斫庖恍╇姶努F(xiàn)象的原理和解決一些復(fù)雜的電磁問題。本文在充分理解和掌握矩量法求解金屬目標(biāo)電磁散射問題的理論及實現(xiàn)方法的基礎(chǔ)上,針對源所產(chǎn)生的近場的計算,提出了一種利用阻抗矩陣來求解源所產(chǎn)生的場的方法,該方法在計算近場時,不需要額外的奇異點處理部分,而且由于矩量法中的阻抗矩陣與向量相乘的計算能夠加速實現(xiàn),所以該方法具有快速計算的能力。論文首先介紹了與矩量法相關(guān)的一些基本理論和知識,包括矩量法的一般性過程和RWG基函數(shù)的性質(zhì),并詳細(xì)的介紹了金屬目標(biāo)電磁散射矩量法的求解過程及相關(guān)的阻抗矩陣的奇異點處理方法。其次,詳細(xì)的介紹了利用阻抗矩陣求解場強(qiáng)方法的具體實現(xiàn)過程,研究和分析了該方法相關(guān)性能,并設(shè)計了一些算例,將應(yīng)用該方法所得到的一些場強(qiáng)計算結(jié)果與直接計算的結(jié)果做對比來驗證方法的正確性。最后,討論了該方法的應(yīng)用,計算了復(fù)雜PMC目標(biāo)上的等效磁流所產(chǎn)生的近場分布以及磁流環(huán)在天線表面產(chǎn)生的場。以所得到的磁流環(huán)在天線表面產(chǎn)生的場作為入射場,建立相應(yīng)的積分方程,利用矩量法求解得到天線表面的等效電流,繼而求解出天線的輻射場,將所計算的輻射場結(jié)果與FEKO的結(jié)果做對比,發(fā)現(xiàn)兩者吻合的很好,這一方面驗證了磁流環(huán)模型天線輻射場計算方法的正確性,另一方面也表明了本文所提出的場強(qiáng)求解方法的應(yīng)用性。
[Abstract]:The method of moments is a very important numerical method in computing electromagnetics. It has the advantages of accuracy, universality and efficiency, so it has been widely used in electromagnetic scattering and electromagnetic radiation problems. The study of the method of moments helps us to understand the principle of some electromagnetic phenomena and solve some complex electromagnetic problems. On the basis of fully understanding and mastering the theory and implementation of the method of moment for solving the electromagnetic scattering problem of metal targets, a method of using impedance matrix to solve the field generated by the source is proposed in this paper, aiming at the calculation of the near field produced by the source. The method does not require additional singular point processing in the calculation of near field, and the calculation of impedance matrix and vector multiplication in the method of moments can be accelerated, so the method has the ability of fast calculation. This paper first introduces some basic theories and knowledge related to the method of moments, including the general process of the method of moments and the properties of the RWG basis function. The process of solving the method of electromagnetic scattering moment of metal target and the method of dealing with the singularity of the related impedance matrix are introduced in detail. Secondly, the realization process of using impedance matrix to solve the field strength is introduced in detail, and the related performance of the method is studied and analyzed, and some examples are designed. The correctness of the method is verified by comparing the calculated results of the field strength obtained by this method with the results of direct calculation. Finally, the application of the method is discussed. The near field distribution generated by the equivalent magnetic current on the complex PMC target and the field generated by the magnetic flow ring on the antenna surface are calculated. The corresponding integral equation is established by using the field generated by the magnetic flux loop on the antenna surface as the incident field. The equivalent current on the antenna surface is obtained by using the method of moments, and the radiation field of the antenna is obtained. By comparing the calculated radiation field results with the FEKO results, it is found that the two results are in good agreement with each other. On the one hand, the correctness of the method for calculating the radiation field of the magnetofluid-ring model antenna is verified. On the other hand, it also shows the application of the method proposed in this paper.
【學(xué)位授予單位】：北京理工大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2016
【分類號】：O441

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