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Titlebook: Spectral Geometry and Inverse Scattering Theory; Huaian Diao,Hongyu Liu Book 2023 The Editor(s) (if applicable) and The Author(s), under e

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發(fā)表于 2025-3-21 17:07:16 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Spectral Geometry and Inverse Scattering Theory
編輯Huaian Diao,Hongyu Liu
視頻videohttp://file.papertrans.cn/874/873826/873826.mp4
概述Comprehensive treatment of inverse scattering problems; associates with acoustic, electromagnetic & elastic waves.Includes discussions on the geometrical inverse shape problems by minimal measurements
圖書封面Titlebook: Spectral Geometry and Inverse Scattering Theory;  Huaian Diao,Hongyu Liu Book 2023 The Editor(s) (if applicable) and The Author(s), under e
描述.Inverse scattering problems are a vital subject for both theoretical and experimental studies and remain an active field of research in applied mathematics. This book provides a detailed presentation of typical setup of inverse scattering problems for time-harmonic acoustic, electromagnetic and elastic waves. Moreover, it provides systematical and in-depth discussion on an important class of geometrical inverse scattering problems, where the inverse problem aims at recovering the shape and location of a scatterer independent of its medium properties. Readers of this book will be exposed to a unified framework for analyzing a variety of geometrical inverse scattering problems from a spectral geometric perspective. ?..?..This book contains both overviews of classical results and update-to-date information on latest developments from both a practical and theoretical point of view. It can be used as an advanced graduate textbook in universities or as a referencesource for researchers in acquiring the state-of-the-art results in inverse scattering theory and their potential applications.? ?.?.
出版日期Book 2023
關(guān)鍵詞Wave scattering; acoustics; electromagnetism; elastodynamics; inverse shape problems; single measurements
版次1
doihttps://doi.org/10.1007/978-3-031-34615-6
isbn_softcover978-3-031-34617-0
isbn_ebook978-3-031-34615-6
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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e geometrical inverse shape problems by minimal measurements.Inverse scattering problems are a vital subject for both theoretical and experimental studies and remain an active field of research in applied mathematics. This book provides a detailed presentation of typical setup of inverse scattering
地板
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Introduction,tion that seeks to optimally combine theory with observations. In its abstract formulation, an inverse problem can be described as follows. Let (., ∥?∥.) denote the space of target objects (usually consisting of quantities or geometries) and (., ∥?∥.) denote the space of observation data. Let . deno
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Geometric Structures of Maxwellian Eigenfunctions,ongly motivated by our study of the inverse electromagnetic scattering problem. In this chapter, we follow the treatment in Diao et al. (Inverse Probl 37:035004, 2021). Further discussion on the inverse electromagnetic scattering problems can be found in Sect. .. We start with the necessary mathemat
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Path Argument for Inverse Acoustic and Electromagnetic Obstacle Scattering Problems,nd . to represent the incident, scattered and total field, respectively, where .?=?.?+?. and . with . being the incident direction and .?>?0 being the wave number. Let . be an impenetrable obstacle, where . is a general compact set in . with an open connect complement ..
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,Geometric Structures of Maxwell’s Transmission Eigenfunctions and Applications,–2224 (2021)). Let . denote the frequency, and let ., respectively, signify the electric permittivity and magnetic permeability of a uniformly homogeneous space. Throughout, we let . and . denote, respectively, the electric and magnetic fields, which are .-valued functions. We first introduce the no
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