Results 251 to 260 of about 16,490 (305)

Inverse Problems in Wave Scattering

Oberwolfach Reports, 2007
Workshop ...
Martin Hanke-Bourgeois, Andreas Kirsch, William Rundell   +2 more
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Inverse scattering for geophysical problems

Physics Letters A, 1983
A method for finding wave velocity from the scattering data is given for three-dimensional problems.
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Inverse Scattering Problems

2009
This chapter contains sections titled: Linear Inverse Problems One-Dimensional Inverse Problems Higher-Dimensional Inverse Problems This chapter contains sections titled: Exercises for Chapter 9 References for Chapter 9 Further Readings for Chapter ...
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Formal Solutions of Inverse Scattering Problems

Journal of Mathematical Physics, 1969
Formal solutions of inverse scattering problems for scattering from a potential, a variable index of refraction, and a soft boundary are developed using a method devised by Jost and Kohn.
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An approach to inverse scattering problems

Bioelectromagnetics, 1982
AbstractThere are several reasons for investigating the inverse scattering problem in medical image processing. A typical case, that of ultrasonic fields, is considered. Assuming that a plane wave illuminates a weakly inhomogeneous two‐dimensional object, the fundamental equation is derived for the scattered waves in integral as well as in differential
M, Saito, T, Hayashi
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Multidimensional inverse scattering problems

DIPED - 99. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. Proceedings of 4th International Seminar/Workshop (IEEE Cat. No.99TH8402), 1999
Summary form only given, as follows. An overview of the author's results is given. The inverse problems for obstacle, geophysical and potential scattering are considered. The basic method for proving uniqueness theorems in one- and multi-dimensional inverse problems is discussed and illustrated by numerous examples.
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One-dimensional inverse scattering problem

2011 13th International Conference on Transparent Optical Networks, 2011
The inverse problem of electromagnetic scattering of media with one-dimensional permittivity distribution is considered. Two approaches are applied in the study. First is based on the solution of non-linear integral equation for the scattered field; second-involves in analysis the Lagrange formalism applied to initial differential equations (Maxwell's ...
P. K. Gaikovich, M. I. Sumin, K. P. Gaikovich   +2 more
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Inverse Scattering Problem in Anisotropic Media

Communications in Mathematical Physics, 1998
Second-order elliptic equations in \(\mathbb{R}^n\) which carry no smallness assumptions on the coefficients are considered (and rewritten as an Laplace-Beltrami equation). From the scattering amplitudes the integrals are recovered. So it is possible to obtain a class of scattering invariants (constructed from the amplitude) by using results of ...
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Abel’s Inverse Problem and Inverse Scattering

2004
The problem of determination of the shape of a hill from travel time was solved by N. H. Abel in his third paper written in 1823. He gave more complete arguments in a paper of 1826. The problem is to find the form of the hill y = h (x), 0 ≤ x ≤ X0 from knowledge of the function t = t (x), 0 < x ≤ X0, t being the time a material point spend to move from
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An Inverse Scattering Problem

1996
We consider acoustic waves that travel in a medium such as a fluid. Let v(x, t) be the velocity vector of a particle at \(x \in {\mathbb{R}}^{3}\) and time t. Let p(x, t), ρ(x, t), and S(x, t) denote the pressure, density, and specific entropy, respectively, of the fluid. We assume that no exterior forces act on the fluid.
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