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L-Wave Inverse Scattering Problem

Journal of Mathematical Physics, 1971
The inverse scattering problem for the Schrödinger equation is considered. Under certain restrictions on some of the odd derivatives of the potential, we obtain expressions for the values of the potential and its derivatives at the origin, as functions of the phase shift and bound state data for any fixed partial wave.
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The Inverse Scattering Problem

1982
In the usual scattering-theory problem the hamiltonian of the system or the interparticle forces are known and a cross section, polarization, etc., are to be calculated and subsequently confronted with experimental results. The “inverse” problem is posed in the opposite direction: given certain kinds of information obtained more or less directly from ...
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Inelastic inverse chaotic scattering problem

Physics Letters A, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tapia, H., Jung, C.
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Inverse scattering problem with isobars

Physical Review C, 1977
The inverse scattering problem is solved for a covariant, isobar-dominated scattering amplitude (including inelasticity). Application is made to the πN P33 channel, with the πN Δ vertex function and isobar bare mass as results.
J. T. Londergan, E. J. Moniz
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The Inverse Scattering Problem

1986
The 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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Spectral and scattering inverse problems

Journal of Mathematical Physics, 1978
The reconstruction of a differential operator form discrete spectra is reduced to its reconstruction from an S-matrix. This method makes it possible to solve the singular Sturm–Liouville problems which determine certain modes of a sphere. The results pave the way for handling studies in which information on modes and scattering results would all be ...
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Inverse Problems in Optical Scattering

2007
One of the main motivations for studying rough surface scattering problems consists in the desire to obtain information about the surface. The information obtained can be of a varied nature. One may be interested, for instance, on the surface profile function, on the optical properties of the surface, or, for random surfaces, on some statistical ...
Méndez, Eugenio, Macías, Demetrio
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Inversion problems with quasihomogeneous scatterers

Optical Society of America Annual Meeting, 1991
Inversion formulas are presented for determining the second-order correlation properties of spatially random media of a certain class, namely, quasihomogeneous media,1 from the knowledge of the spectra of the scattered field. In general, the far zone spectra of the scattered field must be known for all directions of incidence and all directions of ...
David G. Fischer, Emil Wolf
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Variable-coherence tomography for inverse scattering problems

Journal of the Optical Society of America A, 2004
We propose a technique for determining the pair-correlation function of a quasi-homogeneous medium. The method uses the variation of the spatial-coherence properties of the incident beam to generate two separate volumes of coherence where the field is correlated. Using this specially prepared beam, we reconstruct experimentally the correlation function
Baleine, Erwan, Dogariu, Aristide
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Three-body inverse scattering problem

Few-Body Systems, 1988
Two methods are suggested to reconstruct three-body potentials from three-body scattering data. This was achieved by using the reduction of the corresponding Schrodinger equation to a system of ordinary differential equations (not integro-differential equations as usual in the direct problem). Exactly solvable three-body models are presented.
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