论文标题
在时间域中使用单个电磁波找到可穿透的障碍物
On finding a penetrable obstacle using a single electromagnetic wave in the time domain
论文作者
论文摘要
时域外壳方法是分析方法的一种分析方法，用于逆向障碍问题，由时域中的部分微分方程控制。本文考虑了麦克斯韦系统给出管理方程并由两个部分组成的情况。第一部分使用一组解决方案在整个空间中使用一组有限的时间间隔内使用一组解决方案来建立麦克斯韦系统的时域外壳方法的基础。它是指标函数的渐近不平等现象系统，它可能使我们能够将时域封闭方法应用于发现各种背景媒体中嵌入的未知的普及障碍的问题。作为其预期应用的第一步，考虑了背景介质是均匀且各向同性的情况，并实现了时域外壳方法。这是第二部分。
The time domain enclosure method is one of analytical methods for inverse obstacle problems governed by partial differential equations in the time domain. This paper considers the case when the governing equation is given by the Maxwell system and consists of two parts. The first part establishes the base of the time domain enclosure method for the Maxwell system using a single set of the solutions over a finite time interval for a general (isotropic) inhomogeneous medium in the whole space. It is a system of asymptotic inequalities for the indicator function which may enable us to apply the time domain enclosure method to the problem of finding unknown penetrable obstacles embedded in various background media. As a first step of its expected applications, the case when the background medium is homogeneous and isotropic, is considered and the time domain enclosure method is realized. This is the second part.
