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Recently we developed a formalism for the scattering from linear and acyclic branched structures build of mutually non-interacting sub-units.{[}C. Svaneborg and J. S. Pedersen, J. Chem. Phys. 136, 104105 (2012){]} We assumed each sub-unit…

统计力学 · 物理学 2015-05-30 Carsten Svaneborg , Jan Skov Pedersen

We report on the recent construction of a scattering theory for Maxwell potentials on curved spacetimes.

广义相对论与量子宇宙学 · 物理学 2024-05-01 Grigalius Taujanskas

We derive expressions for the scattering, extinction and conversion of the chirality of monochromatic light scattered by bodies which are characterized by a T-matrix. In analogy to the conditions obtained from the conservation of energy,…

光学 · 物理学 2018-06-22 Philipp Gutsche , Manuel Nieto-Vesperinas

A nonrelativistic quantum mechanical particle moving freely on a curved surface feels the effect of the nontrivial geometry of the surface through the kinetic part of the Hamiltonian, which is proportional to the Laplace-Beltrami operator,…

量子物理 · 物理学 2018-10-09 Neslihan Oflaz , Ali Mostafazadeh , Mehrdad Ahmady

The phase behaviour of colloidal dispersions is interesting for fundamental reasons and for technological applications such as photonic crystals and electronic paper. Sedimentation, which in everyday life is relevant from blood analysis to…

A numerical solution to the problem of wave scattering by many small particles is studied under the assumption k<<1, d>>a, where a is the size of the particles and d is the distance between the neighboring particles. Impedance boundary…

计算物理 · 物理学 2012-06-18 M. I. Andriychuk , A. G. Ramm

Scattering matrices with block symmetry, which corresponds to scattering process on cavities with geometrical symmetry, are analyzed. The distribution of transmission coefficient is computed for different number of channels in the case of a…

chao-dyn · 物理学 2008-02-03 Karol Życzkowski

We prove scattering for small solutions to of nonlinear Schroedinger equations in 1D with a space periodic potential

偏微分方程分析 · 数学 2008-08-27 Scipio Cuccagna , Nicola Visciglia

The wave scattering by moving particles (dynamic scattering) is a well known physical problem routinely occurring in practice. For the particles which are much smaller than the incident wavelength, the static scattering problem can be…

光学 · 物理学 2014-02-25 F. G. Bass , V. V. Prosentsov

Scattering properties of a material are changed when the material is injected with small acoustically soft particles. It is shown that its new scattering behavior can be understood as a solution of a potential scattering problem with the…

数学物理 · 物理学 2007-05-23 A. G. Ramm , S. Gutman

We report on the crystallization kinetics in an entropically attractive colloidal system using a combination of time resolved scattering methods and microscopy. Hard sphere particles are polystyrene microgels swollen in a good solvent…

软凝聚态物质 · 物理学 2010-09-09 Andreas Stipp , Hans-Joachim Schoepe , Thomas Palberg , Thomas Eckert , Eckhard Bartsch , Ralf Biehl

A formalism based on the complex-scaling method is presented to solve the few particle scattering problem in configuration space using bound state techniques with trivial boundary conditions. Several applications to A=3,4 systems are…

核理论 · 物理学 2015-06-12 Rimantas Lazauskas , Jaume Carbonell

We give a Weierstrass type representation for semi-discrete minimal surfaces in Euclidean 3-space. We then give explicit parametrizations of various smooth, semi-discrete and fully-discrete catenoids, determined from either variational or…

微分几何 · 数学 2017-09-22 Wayne Rossman , Masashi Yasumoto

Manufacturing of particulate products across many industries relies on accurate measurements of particle size distributions in dispersions or powders. Laser diffraction (or small angle light scattering) is commonly used, usually off-line,…

软凝聚态物质 · 物理学 2016-10-18 Okpeafoh S. Agimelen , Anthony J. Mulholland , Jan Sefcik

The Foldy-Lax equation is generalized for a medium which consists of particles with both electric and magnetic responses. The result is used to compute fields scattered from ensembles of particles. The computational complexity is reduced by…

光学 · 物理学 2021-09-22 Lang Wang , Ilia L. Rasskazov , P. Scott Carney

We report on the scattering of a plane wave from a vertically oscillating plate in the low frequency approximation by means of Floquet theory. In the case of a static plate, the scattering coefficients are evaluated via mode matching method…

经典物理 · 物理学 2024-12-02 Magdalini Koukouraki , Philippe Petitjeans , Agnès Maurel , Vincent Pagneux

Atomic and molecular breakup reactions, such as multiple-ionisation, are described by a driven Schr\"odinger equation. This equation is equivalent to a high-dimensional Helmholtz equation and it has solutions that are outgoing waves,…

数值分析 · 数学 2022-03-22 Jacob Snoeijer , Wim Vanroose

We derive efficient, closed form, differentiable, and numerically stable solutions for the flux measured from a spherical planet or moon seen in reflected light, either in or out of occultation. Our expressions apply to the computation of…

地球与行星天体物理 · 物理学 2022-06-15 Rodrigo Luger , Eric Agol , Fran Bartolić , Daniel Foreman-Mackey

Scattering-type scanning near-field optical microscopy is a powerful imaging technique for studying materials beyond the diffraction limit. However, interpreting near-field measurements poses challenges in mapping the response of…

Researchers routinely characterize optical samples by computing the scattering cross-section. However, the experimental determination of this magnitude requires the measurement and integration of the components of the scattered field in all…