The Linear Sampling Method in Inverse Electromagnetic Scattering
The Linear Sampling Method in Inverse Electromagnetic Scattering
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DOI：
10.1137/1.9780898719406
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发表时间：
2010-12
期刊：
影响因子：
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通讯作者：
F. Cakoni;D. Colton;P. Monk
中科院分区：
文献类型：
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作者：
F. Cakoni;D. Colton;P. Monk
线性采样方法是逆散射理论中最古老和最发达的定性方法。它是基于求解线性积分方程，然后使用方程的解作为指示函数的散射目标的支持的确定。这本书描述了各种电磁散射问题的线性采样方法。它提出了唯一性定理和推导各种不等式的散射物体的材料属性从知识的散射波的远场图案。还包括Herglotz波函数的近似性质;内部传输问题，一种新的内部边界值问题的解决方案的行为;和反演方案的数值例子。听众：这本书是为数学家和工程师执行研究在逆电磁散射理论。它也适用于反问题的高级研究生课程。内容包括：序言;第一章：二维逆散射;第2章：麦克斯韦方程组;第3章：障碍物的逆问题;第4章：各向异性介质的逆散射问题;第5章：薄物体的逆散射问题;第6章：埋藏物体的逆散射问题;参考书目;索引。
The linear sampling method is the oldest and most developed of the qualitative methods in inverse scattering theory. It is based on solving a linear integral equation and then using the equation s solution as an indicator function for the determination of the support of the scattering object. This book describes the linear sampling method for a variety of electromagnetic scattering problems. It presents uniqueness theorems and the derivation of various inequalities on the material properties of the scattering object from a knowledge of the far field pattern of the scattered wave. Also covered are the approximation properties of Herglotz wave functions; the behavior of solutions to the interior transmission problem, a novel interior boundary value problem; and numerical examples of the inversion scheme. Audience: This book is intended for mathematicians and engineers performing research in inverse electromagnetic scattering theory. It is also appropriate for an advanced graduate course on inverse problems. Contents: Preface; Chapter 1: Inverse Scattering in Two Dimensions; Chapter 2: Maxwell s Equations; Chapter 3: The Inverse Problem for Obstacles; Chapter 4: The Inverse Scattering Problem for Anisotropic Media; Chapter 5: The Inverse Scattering Problem for Thin Objects; Chapter 6: The Inverse Scattering Problem for Buried Objects; Bibliography; Index.