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Titlebook: Inverse Problems of Wave Propagation and Diffraction; Proceedings of the C Guy Chavent,Pierre C. Sabatier Conference proceedings 1997 Sprin

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书目名称Inverse Problems of Wave Propagation and Diffraction
副标题Proceedings of the C
编辑Guy Chavent,Pierre C. Sabatier
视频video
丛书名称Lecture Notes in Physics
图书封面Titlebook: Inverse Problems of Wave Propagation and Diffraction; Proceedings of the C Guy Chavent,Pierre C. Sabatier Conference proceedings 1997 Sprin
描述This book describes the state of the art in the field of modeling and solving numerically inverse problems of wave propagation and diffraction. It addresses mathematicians, physicists and engineers as well. Applications in such fields as acoustics, optics, and geophysics are emphasized. Of special interest are the contributions to two and three dimensional problems without reducing symmetries. Topics treated are the obstacle problem, scattering by classical media, and scattering by distributed media.
出版日期Conference proceedings 1997
关键词Potential; diffraction; geophysics; inverse problems; inverse scattering problem; numerical techniques; sc
版次1
doihttps://doi.org/10.1007/BFb0105755
isbn_softcover978-3-662-14154-0
isbn_ebook978-3-540-68713-9Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightSpringer-Verlag Berlin Heidelberg 1997
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发表于 2025-3-21 21:57:48 | 显示全部楼层
Conference proceedings 1997nterest are the contributions to two and three dimensional problems without reducing symmetries. Topics treated are the obstacle problem, scattering by classical media, and scattering by distributed media.
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Inverse scattering for N-body systems with time-dependent potentials,ttering operator with unperturbed evolution given by the free Hamiltonian. These results are obtained from reconstruction formulae with bound of the error term that I prove with a simple time-dependent method.
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Regularity of an inverse problem in wave propagation,n concerning regularity properties of the forward map is indispensable in the study of the inverse problem . smooth optimization methods. The usefulness of our results and some directions for future research are also discussed.
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Retrieval of object information from electron diffraction as Ill-posed inverse problems,s given by a generalized and regularized Moore-Penrose inverse. Extracting solely the atomic displacements the latter are given by the zeros of a function with an incompletely known Fourier spectrum. The numerical algorithms resulting from the fundamental relations imply ill-posed inverse problems.
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An overview of nonlinear diffraction tomography within the bayesian estimation framework,1), . (Chew and Wang 1990) and . (Kleinman and van den Berg 1992) — are interpreted as algorithms to compute the defined solution. This common point of view allows an objective comparison between these methods, from the standpoint of their convergence properties and the solution they provide.
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