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Acoustical scattering by radially stratified scatterers
The Journal of the Acoustical Society of America, 2008A recursive solution procedure is developed to analyze the acoustical scattering by multilayer concentric circular cylindrical scatterers. The procedure is based on multiple scattering in the single-scatterer methodology originally proposed by one of the authors. The solution for a scatterer having an arbitrary number of layers is solved by recursively
José Sánchez-Dehesa, Liang-Wu Cai
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Simultaneous Neutron Scattering and Raman Scattering
Applied Spectroscopy, 2009The capability to make simultaneous neutron and Raman scattering measurements at temperatures between 1.5 and 450 K has been developed. The samples to be investigated are attached to one end of a custom-made center-stick suitable for insertion into a 100 mm-bore cryostat.
Andrew King+5 more
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2021
Solution to the problem of radiation scattering by a homogeneous dielectric sphere. It yields a realistic model of scattering by spherical (e.g., liquid) droplets found in some atmospheric clouds, as well as a convenient first-order approximation for nonspherical scatterers also found in planetary clouds and/or hazes, bridging the gap between the small
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Solution to the problem of radiation scattering by a homogeneous dielectric sphere. It yields a realistic model of scattering by spherical (e.g., liquid) droplets found in some atmospheric clouds, as well as a convenient first-order approximation for nonspherical scatterers also found in planetary clouds and/or hazes, bridging the gap between the small
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Celestial Mechanics and Dynamical Astronomy, 1997
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Scattering and Inverse Scattering
1993For a given potential, the scattering method has been commonly used to find the wave functions in quantum mechanics. An inverse process of this scattering is to find the potential from known scattering data. Such a process is called the inverse scattering method. If the potential satisfies a nonlinear evolution equation (the differential equation u t =
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Multiple scattering and scattering cross sections
The Journal of the Acoustical Society of America, 2018The scattering cross section for a cluster of scatterers can be calculated using various methods, either exactly or by invoking various approximations. Of special interest are methods in which the scattering properties of individual members of the cluster are used. The underlying question is: Can the contribution to the cluster's cross section from any
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Scattered spaces not having scattered compactifications
Mathematical Notes of the Academy of Sciences of the USSR, 1978Some examples of scattered spaces not having scattered compactifications are given, which solves a problem of Semadeni. Thus, let S be any extremally disconnected dense-in-itself subspace of βN/N. Then for every point ξ∈S the subspacen ∪{ξ} does not have any scattered compactification.
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Scattering Matrices in Many-Body Scattering
Communications in Mathematical Physics, 1999Let \(\{X_a; a\in I\}\) be a family of linear subspaces of \(\mathbb{R}^n= X_0\), \(X_1= \{0\}\), and \(X^a\) the orthocomplement of \(X_a\). The author treats \(S\)-matrices of the many-body Hamiltonian \(H= \Delta+\sum_{a\in I}(\pi^a)^* V_a\). Consider \(h_a= \Delta+ \sum_{b\leq a}V_b\) on \(\mathbb{L}^2(X^a)\). Let \(\varepsilon_\alpha\), \(\alpha= (
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Scattering and multiple scattering in NISP
Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2003It is very common to use Monte Carlo integration to estimate multiple scattering corrections in neutron experiments. The neutron instrument simulation package (NISP) includes various sample types and materials, many of which also account for multiple scattering.
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