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Scattering problem by several bodies, small in comparison with the wavelength, is reduced to linear algebraic systems of equations, in contrast to the usual reduction to some integral equations.

数学物理 · 物理学 2015-06-26 A. G. Ramm

In this paper, based on the analysis of the formula (2.2) for calculating the elastic scattering diagrams of microparticles on a multilayer crystal surface, derived by the author in the article [3], it is shown that the stochastic approach…

综合物理 · 物理学 2021-10-04 Mikhail Batanov-Gaukhman

Colloidal membranes, self assembled monolayers of aligned rod like molecules, offer a template for designing membranes with definite shapes and curvature, and possibly new functionalities in the future. Often the constituent rods, due to…

软凝聚态物质 · 物理学 2020-07-31 Sk Ashif Akram , Arabinda Behera , Prerna Sharma , Anirban Sain

Disordered packings of colloidal spheres show angle-independent structural color when the particles are on the scale of the wavelength of visible light. Previous work has shown that the positions of the peaks in the reflectance spectra can…

软凝聚态物质 · 物理学 2020-02-05 Victoria Hwang , Anna B. Stephenson , Sofia Magkiriadou , Jin-Gyu Park , Vinothan N. Manoharan

Scattering is an important phenomenon which is observed in systems ranging from the micro- to macroscale. In the context of nuclear reaction theory the Heidelberg approach was proposed and later demonstrated to be applicable to many chaotic…

We conducted a very long baseline interferometric observation of 5 nearby pulsars and did not resolve the scattering disks of any of these sources. Using our upper limits on the angular diameters of these scattering disks and published…

天体物理学 · 物理学 2018-07-18 M. C. Britton , C. R. Gwinn , M. J. Ojeda

In this paper, we consider acoustic or electromagnetic scattering in two dimensions from an infinite three-layer medium with thousands of wavelength-size dielectric particles embedded in the middle layer. Such geometries are typical of…

数值分析 · 数学 2015-06-22 Jun Lai , Motoki Kobayashi , Leslie Greengard

We report small-angle x-ray scattering (SAXS) experiments on aqueous dispersions of colloidal silica with a broad monomodal size distribution (polydispersity 18%, size 8 nm). Over a range of volume fractions the silica particles segregate…

The scattering determinant for the scattering of waves from several obstacles is considered in the case of elastic solids with voids. The multi-scattering determinant displays contributions from periodic ray-splitting orbits. A discussion…

混沌动力学 · 物理学 2007-05-23 Niels Sondergaard , Predrag Cvitanovic , Andreas Wirzba

A method is given for finding small inhomogeneities from surface scattering data. The method consists in localization of the positions and finding the intensities of these small inhomogeneities. The case of acoustic wave scattering is…

数学物理 · 物理学 2007-05-23 A. G. Ramm

We investigate sedimentation of model hard sphere-like colloidal dispersions confined in horizontal capillaries using laser scanning confocal microscopy, dynamical density functional theory, and Brownian dynamics computer simulations. For…

软凝聚态物质 · 物理学 2009-11-13 C. Patrick Royall , Joachim Dzubiella , Matthias Schmidt , Alfons van Blaaderen

We present a multichannel model for elastic interactions, comprised of an arbitrary number of coupled finite square-well potentials, and derive semi-analytic solutions for its scattering behavior. Despite the model's simplicity, it is…

原子物理 · 物理学 2018-12-11 Nirav P. Mehta , Kaden R. A. Hazzard , Christopher Ticknor

We study theoretically the scattering imprint of a number of branched supramacromolecular architectures, namely, polydisperse stars and dendrimeric, hyperbranched structures. We show that polydispersity and nature of branching highly…

软凝聚态物质 · 物理学 2009-11-07 Carlos I. Mendoza , Carlos M. Marques

A problem of monoenergetic particles pulse reflection from half-infinite stratified medium is considered in conditions of elastic scattering with absorbtion account. The theory is based on multiple scattering series solution of Kolmogorov…

数学物理 · 物理学 2011-12-15 Sergey Leble , Alexei Buzdin

We introduce an algorithm for the solution of a system of radial Schr\"odinger equations describing the inelastic scattering of particles with spin in a partial wave with definite total angular momentum. The system of differential equations…

量子物理 · 物理学 2026-03-17 Roberto Bruschini

We combine theories of scattering for linearized water waves and flexural waves in thin plates to characterize and achieve control of water wave scattering using floating plates. This requires manipulating a sixth-order partial differential…

经典物理 · 物理学 2020-04-06 Mohamed Farhat , Pai-Yen Chen , Hakan Bagci , Khaled Salama , Sebastien Guenneau

We provide an analytical formulation to model the propagation of elastic waves in a homogeneous half-space supporting an array of thin plates. The technique provides the displacement field obtained from the interaction between an incident…

应用物理 · 物理学 2022-06-02 Xingbo Pu , Antonio Palermo , Alessandro Marzani

The fixed energy scattering matrix is defined on a perturbed stratified medium, and for a class of perturbations, its main part is shown to be a Fourier integral operator on the sphere at infinity. This is facilitated by developing a…

谱理论 · 数学 2007-05-23 T. J. Christiansen , M. S. Joshi

The Sudden Approximation (SA) for scattering of atoms from surfaces is generalized to allow for double collision events and scattering from time-dependent quantum liquid surfaces. The resulting new schemes retain the simplicity of the…

材料科学 · 物理学 2015-06-25 Daniel A. Lidar

We outline a strategy for quantitatively evaluating the conformational characteristics of self-assembled structures using the techniques of contrast variation small angle neutron scattering. By means of basis function expansion, a case…

软凝聚态物质 · 物理学 2021-10-27 Albert Y. Ho , Guan-Rong Huang , Wei-Ren Chen