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The correlations between the segments of a semidilute polymer solution are found to induce correlations in the positions of small particles added to the solution. Small means a diameter much less than the polymer's correlation length. In…

软凝聚态物质 · 物理学 2009-10-30 Richard P. Sear

The scattering of scalar waves by a set of scatterers is considered. It is proven that the scattered field can be represented as an integral supported by any smooth surface enclosing the scatterers. This is a generalization of the series…

数学物理 · 物理学 2024-10-22 Didier Felbacq , Anthony Gourdin , Emmanuel Rousseau

Disordered dielectrics with structural correlations on length scales comparable to visible light wavelengths exhibit complex optical properties. Such materials exist in nature, leading to beautiful structural non-iridescent color, and they…

光学 · 物理学 2022-02-02 Pavel Yazhgur , Geoffroy J. Aubry , Luis S. Froufe , Frank Scheffold

Analytical solutions to acoustic scattering problems involving nonspherical shapes, such as spheroids and disks, have long been known and have many applications. However, these solutions require special functions that are not easily…

数学软件 · 计算机科学 2015-06-22 Ross Adelman , Nail A. Gumerov , Ramani Duraiswami

We address the occurrence of narrow planetary rings and some of their structural properties, in particular when the rings are shepherded. We consider the problem as Hamiltonian {\it scattering} of a large number of non-interacting massless…

天体物理学 · 物理学 2009-11-11 O. Merlo , L. Benet

This work thoroughly examines several analytical tools, each possessing a different level of mathematical intricacy, for the purpose of characterizing the orientation distribution function of elongated objects under flow. Our investigation…

Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogeneous medium. The limiting case is considered, when the size…

数学物理 · 物理学 2011-05-10 Alexander G. Ramm

We study wave scattering from a gently curved surface. We show that the recursive relations, implied by shift invariance, among the coefficients of the perturbative series for the scattering amplitude allow to perform an infinite…

经典物理 · 物理学 2016-07-06 Giuseppe Bimonte

Scattering of a scalar particle on a crystalline plane with quadratic cell and identical fixed scatterers is solved precisely. Contradiction of the standard scattering theory is pointed out.

综合物理 · 物理学 2013-08-07 V. K. Ignatovich

New observational facilities are becoming increasingly capable of observing reflected light from transiting and directly imaged extrasolar planets. In this study, we provide an analytic framework to interpret observed phase curves,…

地球与行星天体物理 · 物理学 2015-06-03 Nikku Madhusudhan , Adam Burrows

A multilayered particle is illuminated by plane acoustic or electromagnetic waves of one or several frequencies. We consider the inverse scattering problem for the identification of the layers and of the refraction coefficients of the…

数学物理 · 物理学 2016-09-07 Semion Gutman

Scattering of light by the photonic clusters made of small particles is studied with the help of the quasiperiodicity condition and the local perturbation method. The analytical expression for the field scattered by the cluster is presented…

光学 · 物理学 2015-05-14 V. V. Prosentsov

We present a possible way of computing resonance poles and modes in scattering theory. Numerical examples are given for the scattering of electromagnetic waves by finite-size photonic crystals.

数学物理 · 物理学 2009-11-07 Didier Felbacq

We examine the non-equilibrium radiative heat transfer between a plate and finite cylinders and cones, making the first accurate theoretical predictions for the total heat transfer and the spatial heat flux profile for three-dimensional…

经典物理 · 物理学 2015-05-28 Alexander P. McCauley , M. T. Homer Reid , Matthias Krüger , Steven G. Johnson

The scattering of free particles constrained to move on a cylindrically symmetric curved surface is studied. The nontrivial geometry of the space contributes to the scattering cross section through the kinetic as well as a possible scalar…

高能物理 - 理论 · 物理学 2009-10-30 Ali Mostafazadeh

The adsorption of polymer and surfactant molecules onto colloidal particles or droplets in solution can be characterized non-destructively by scattering techniques. In a first part, the general framework of Dynamic Light Scattering, Small…

软凝聚态物质 · 物理学 2007-05-24 Julian Oberdisse

The radial distribution function is a characteristic geometric quantity of a point set in Euclidean space that reflects itself in the corresponding diffraction spectrum and related objects of physical interest. The underlying combinatorial…

度量几何 · 数学 2007-05-23 Michael Baake , Uwe Grimm

In this exploratory article, we present a constructive method for scattering points on the surface of $d$ dimensional spheres which we believe is new and of interest. Indeed, the problem of uniformly distributing points on spheres is an…

数论 · 数学 2016-10-24 Béla Bajnok , Steven B. Damelin , Jenny Li , Gary L. Mullen

A general theoretical framework is developed for interpreting spectropolarimetric observations of optically thin emission line scattering from small dust particles. Spatially integrated and spatially resolved line profiles of both scattered…

天体物理学 · 物理学 2009-10-22 W. J. Henney

Polarized scattering in planetary atmospheres is computed in the context of exoplanets. The problem of polarized radiative transfer is solved for a general case of absorption and scattering, while Rayleigh and Mie polarized scattering are…

地球与行星天体物理 · 物理学 2017-09-12 S. V. Berdyugina
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