金属目标瞬态电磁散射特性的快速算法研究

发布时间：2018-06-26 18:06

本文选题：高阶叠层矢量基函数 + 复数包络　；参考：《南京理工大学》2016年硕士论文

【摘要】：计算电磁学对于实际电磁工程应用具有重要意义,怎样快速准确求解目标的电磁特性一直是计算电磁学领域研究的重点,经过众多研究人员多年的努力,提出了多种经典算法,这些算法极大促进了电磁学的发展。本文以时间步进时域积分方程为出发点,分别从空间和时间两个方面研究怎样快速求解目标的电磁特性。本文主要分为高阶叠层矢量基函数时间步进算法(HOMOT)和包络追踪时间步进算法两个部分。本文第一部分介绍了高阶叠层矢量基函数时间步进算法的基本原理和实现过程,首先介绍了高阶叠层矢量基函数的构造过程,在此基础上,将高阶叠层矢量基函数引入到时域积分方程。利用高阶方法的特性,高阶叠层矢量基函数时间步进算法能够有效的降低分析目标电磁特性所需的内存及时间。对于电大尺寸目标,高阶叠层矢量基函数时间步进算法仍然耗费大量时间及内存。将时域平面波算法和高阶叠层矢量基函数时间步进算法相结合达到进一步节省时间,节约内存的目的。高阶叠层矢量基函数时间步进算法从空间的角度实现了快速准确求解目标电磁特性,文章第二部分从时间的角度研究怎样快速准确求解目标电磁特性。该部分主要介绍了包络追踪时间步进算法的原理及具体实现过程。首先介绍了信号复数包络的构造方法,利用该方法建立基于复数包络的包络追踪时域积分方程。使用复数包络的包络追踪时间步进算法能够选用较大的时间步长,因此在仿真相同时间的情况下,能够快速完成目标电磁特性的分析。在此基础上,将包络追踪时间步进算法和自适应交叉近似算法(ACA)相结合进一步节省运行时间,实现对目标电磁特性的快速分析。
[Abstract]:Computational electromagnetism is of great significance for practical electromagnetic engineering applications. How to solve the electromagnetic characteristics of targets quickly and accurately has always been the focus of research in the field of computational electromagnetism. After many years of efforts by many researchers, many classical algorithms have been put forward. These algorithms greatly promote the development of electromagnetism. Based on the time step time domain integral equation, this paper studies how to solve the electromagnetic characteristics of the target from two aspects of space and time, respectively. This paper is mainly divided into two parts: high order laminated vector basis function time step algorithm (HOMOT) and envelope tracking time step algorithm. In the first part of this paper, the basic principle and implementation process of the time step algorithm of high order laminated vector basis function are introduced. Firstly, the construction process of high order laminated vector basis function is introduced. The high order laminated vector basis function is introduced into the time domain integral equation. Using the characteristics of high order method, the time step algorithm of high order laminated vector basis function can effectively reduce the memory and time required to analyze the electromagnetic characteristics of the target. For electrically large size targets, high order laminated vector basis function time stepping algorithm still consumes a lot of time and memory. The time domain plane wave algorithm and the high order laminated vector basis function time step algorithm are combined to further save time and memory. The high order laminated vector basis function time step algorithm realizes the fast and accurate solution of the electromagnetic characteristics of the target from the point of view of space. The second part of this paper studies how to solve the electromagnetic characteristics of the target quickly and accurately from the point of view of time. This part mainly introduces the principle and realization process of envelope tracking time step algorithm. Firstly, the method of constructing complex envelope of signal is introduced, and the time domain integral equation of envelope tracking based on complex envelope is established by using this method. The envelope tracking time step algorithm using complex envelope can select a large time step, so the analysis of the target's electromagnetic characteristics can be completed quickly under the same simulation time. On this basis, the envelope tracking time step algorithm and the adaptive cross approximation algorithm (ACA) are combined to further save the running time and realize the fast analysis of the electromagnetic characteristics of the target.
【学位授予单位】：南京理工大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：TN011

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