矩量法中快速场强计算技术及应用
发布时间：2018-09-17 18:28
【摘要】：矩量法是计算电磁学中一种非常重要的数值方法,它具有精确性、通用性和高效性等优点,因此其在电磁散射和电磁辐射问题中得到了广泛的应用。对于矩量法的学习和研究有助于我们去理解一些电磁现象的原理和解决一些复杂的电磁问题。本文在充分理解和掌握矩量法求解金属目标电磁散射问题的理论及实现方法的基础上,针对源所产生的近场的计算,提出了一种利用阻抗矩阵来求解源所产生的场的方法,该方法在计算近场时,不需要额外的奇异点处理部分,而且由于矩量法中的阻抗矩阵与向量相乘的计算能够加速实现,所以该方法具有快速计算的能力。论文首先介绍了与矩量法相关的一些基本理论和知识,包括矩量法的一般性过程和RWG基函数的性质,并详细的介绍了金属目标电磁散射矩量法的求解过程及相关的阻抗矩阵的奇异点处理方法。其次,详细的介绍了利用阻抗矩阵求解场强方法的具体实现过程,研究和分析了该方法相关性能,并设计了一些算例,将应用该方法所得到的一些场强计算结果与直接计算的结果做对比来验证方法的正确性。最后,讨论了该方法的应用,计算了复杂PMC目标上的等效磁流所产生的近场分布以及磁流环在天线表面产生的场。以所得到的磁流环在天线表面产生的场作为入射场,建立相应的积分方程,利用矩量法求解得到天线表面的等效电流,继而求解出天线的辐射场,将所计算的辐射场结果与FEKO的结果做对比,发现两者吻合的很好,这一方面验证了磁流环模型天线辐射场计算方法的正确性,另一方面也表明了本文所提出的场强求解方法的应用性。
[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.
【学位授予单位】：北京理工大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：O441
[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.
【学位授予单位】：北京理工大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：O441
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