摘要当今计算电磁学在几十年的发展后已经慢慢走向成熟，针对三维复杂目标或者具有复杂介质混合目标的数值问题，国内外的研究者们已提出了很多诸如矩量法（MoM）法、有限元法等方式，后来有限元边界积分方法、体面积分（VSIE）方法等方法也得到大量应用。42800

现在解决现实问题中复杂媒质目标时，普遍需要对它进行建模仿真模拟结果。现在，现实中的测量大都被仿真所替代，仿真高效便捷特点，可以灵活研究复杂混合目标的电磁散射。它的用途非常广泛，能用于制作复杂天线，能完成雷达隐身反隐身，处理雷达的目标识别，另外电子对抗与电磁兼容等方面也常常离不开它的帮助。

高超声飞行器速度快，轨迹复杂，难以拦截，实力强大，被视为下一代飞行技术。分析超高声飞行器目标的电磁散射特性具有非常重要的意义，比如飞行器为了达到隐身的目的而在目标表面涂覆介质材料等。对于这类大尺寸的复杂目标，本文将利用体面积分方程（VSIE）高效精确地求解其电磁散射特性，使计算的复杂度降低。而广泛应用矩量法更是可以获得高效的结果。

首先，本文运用MoM法，分析推导出传统的VSIE的原理公式，并根据麦克斯韦(Maxwell)方程组，得出复杂媒质的VSIE公式，本文所要求的混合目标的RCS的计算则要基于此公式。

其次，根据我们用体面积分方程方法分析复杂混合目标的电磁散射特性，包含分析比较各向异质媒质和双各向同性复杂媒质，发现此方法的优势和正确性。

之后运用它来处理高超声飞行器的电磁散射问题。

最后，我们利用几个算例，基于FEKO仿真结果对我们的结果进行了验证，再次肯定了此方法的优越性。

毕业论文关键词：体面积分方程（VSIE），雷达散射截面（RCS），高超声飞行器

Abstract

In the decades of development, computational electromagnetism has gradually become mature. For 3D complex targets’ or complex dielectric targets’ numerical problems, domestic and foreign scholars have been proposed many methods, such as method of moment, finite element method, and then the finite element boundary integral method and decent integration method and so on.

At present, studying the theory of computational electromagnetism and algorithm often need modeling the complex target and then simulating it to solve the problem. Simulation with its unique, efficiency and convenience replaces the real measurement, which is regarded as an important method of studying complex mixed targets. It is widely used. It can solve the development of complex antenna, complete stealth and anti stealth radar, radar target recognition. In addition, electronic warfare, electromagnetic compatibility and other fields often can not do without its help.

High supersonic aircraft, which is regarded as the next generation of flight technology, is difficult to intercept. Its trajectory is complex, and has strong power. Analysis of electromagnetic scattering characteristics of super loud aircraft targets is of very important significance, for aircraft in order to achieve the purpose of invisibility and in the target surface coated with a dielectric material and so on. For such a large complex target, this article will use a decent integral equation (VSIE) efficiently and accurately to solve its electromagnetic scattering properties, so that the computational complexity is reduced. The widely used method of moments can obtain more efficient results.

In this paper, we can quickly and accurately calculate the electromagnetic scattering characteristics of the large size 3D complex targets by using the decent integral equation, and reduce the computational complexity. And the extensive application of the method of moments can obtain more effective results.