Results 241 to 250 of about 6,504,899 (285)
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Formal Solutions of Inverse Scattering Problems
Journal of Mathematical Physics, 1969Formal 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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The Inverse Problem in the Quantum Theory of Scattering
Journal of Mathematical Physics, 1963This report is a translation from the Russian of a survey article by L. D. Faddeyev, which appeared in Uspekhi Matem. Nauk., 14, 57 (1959). Our own interest in this article lies in its relevance to the inverse scattering problem—that is, the problem of determining information about a medium from which an electromagnetic wave is reflected, given a ...
Faddeev, L. D., Seckler, B.
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The Inverse Scattering Problem
1986The problem is to find the shape of the obstacle and the boundary condition on its surface Г from the scattering data. The surface Г may consist of several connected closed components.
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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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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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Inverse Scattering Problem in Anisotropic Media
Communications in Mathematical Physics, 1998Second-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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Inverse scattering in multilayer inverse problem in the presence of damping
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F. D. Zaman, Khalid Masood, Z. Muhiameed
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Inverse scattering problems and the enclosure method
Inverse Problems, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inverse scattering problems of the nonlinear LIDAR‐equation
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1998AbstractThe ill‐posed problem of aerosol size distribution determination from a small number of backscatter and extinction measurements was solved successfully with a mollifier method which is advantageous since the ill‐posed part is performed on exactly given quantities, the points r where n(r) is evaluated may be freely selected.
Böckmann, Christine (Prof. Dr. rer. nat. habil.) +1 more
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Abel’s Inverse Problem and Inverse Scattering
2004The 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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Numerical Stability in an Inverse Scattering Problem
SIAM Journal on Numerical Analysis, 1980The main result of this paper is a stability theorem for a certain class of difference algorithms designed to give approximate solutions of a model inverse scattering problem in one dimension. This stability result guarantees the convergence of the approximate solutions to the exact solution of the problem as the grid of the difference scheme is ...
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