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In this paper, scattering of incident plane waves from rough surfaces have been modeled in a fractional space. It is shown how wave scattering from a rough surface, could be a simple reflection problem in a fractional space. In the integer…

Optics · Physics 2013-05-31 H. Safdari , M. Vahabi , G. R. Jafari

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…

Mathematical Physics · Physics 2016-09-07 Semion Gutman

Scattering states with LEED asymptotics are calculated for a general non-muffin tin potential, as e.g. for a pseudopotential with a suitable barrier and image potential part. The latter applies especially to the case of low lying conduction…

Materials Science · Physics 2009-10-30 S. Lorenz , C. Solterbeck , W. Schattke , J. Burmeister , W. Hackbusch

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…

Number Theory · Mathematics 2016-10-24 Béla Bajnok , Steven B. Damelin , Jenny Li , Gary L. Mullen

We develop a scattering-matrix formalism to numerically study the resonant scattering of light on generic assemblies of atoms. Protocols to eliminate the artifacts of the method and extract physical information from the numerical data are…

Atomic Physics · Physics 2011-10-04 Francesco Bariani , Davide Sarchi , Iacopo Carusotto

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…

Mathematical Physics · Physics 2024-10-22 Didier Felbacq , Anthony Gourdin , Emmanuel Rousseau

We represent three-dimensional Fourier transform light scattering, a method to reconstruct angle-resolved light scattering (ARLS) with extended angle-range from individual spherical objects. To overcome the angle limitation determined by…

A general formalism of X-ray scattering from different kinds of surface morphologies is described. Based on a description of the surface morphology at the atomic scale through the use of the paracrystal model and discrete distributions of…

Materials Science · Physics 2007-07-24 F. Leroy , R. Lazzari , G. Renaud

We prove the scattering for a defocusing nonlinear Schr\"odinger equation with a sum of two repulsive potentials with strictly convex level surfaces, thus providing a scattering result in a trapped setting similar to the exterior of two…

Analysis of PDEs · Mathematics 2019-07-15 David Lafontaine

In this work, the scattering of surface plasmons by a finite periodic array of one-dimensional grooves is theoretically analyzed by means of a modal expansion technique. We have found that the geometrical parameters of the array can be…

Other Condensed Matter · Physics 2007-05-23 F. Lopez-Tejeira , F. J. Garcia-Vidal , L. Martin-Moreno

Light scattering in random media is usually considered within the framework of the three-dimensional Anderson universality class, with modifications for the vector nature of electromagnetic waves. We propose that the linear dispersiveness…

Disordered Systems and Neural Networks · Physics 2025-08-05 Tobias Micklitz , Alexander Altland

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…

Mathematical Physics · Physics 2007-05-23 A. G. Ramm

Concealing objects by making them invisible to an external electromagnetic probe is coined by the term cloaking. Cloaking devices, having numerous potential applications, are still face challenges in realization, especially in the visible…

We present a theory for the cloaking of arbitrarily-shaped objects and demonstrate electromagnetic scattering-cancellation through designed homogeneous coatings. First, in the small-particle limit, we expand the dipole moment of a coated…

Mesoscale and Nanoscale Physics · Physics 2014-05-26 Carlo Forestiere , Luca Dal Negro , Giovanni Miano

To study how geometrical shape affect the light scattering properties for an ensemble of randomly orientated particles, the single scattering matrices including complete polarization information are calculated statistically for a group of…

Atmospheric and Oceanic Physics · Physics 2026-04-13 Quan Mu

We study light scattering by spheres made of negative refractive index materials. We demonstrate that scattering efficiency of the light does not always obey the well-known Rayleigh's law $Q_{\rm sca}\sim1/\lambda^4$ for small values of…

Optics · Physics 2009-04-02 Andrey E. Miroshnichenko

In future air-to-ground integrated networks, the scattering effects from ground-based scatterers, such as buildings, cannot be neglected in millimeter-wave and higher frequency bands, and have a significant impact on channel…

Signal Processing · Electrical Eng. & Systems 2025-02-04 Yulu Guo , Tongjia Zhang , Shu Sun , Meixia Tao , Ruifeng Gao

We describe a self calibrating optical technique that allows to perform absolute measurements of scattering cross sections for the light scattered at extremely small angles. Very good performances are obtained by using a very simple optical…

Optics · Physics 2009-11-10 Doriano Brogioli , Alberto Vailati , Marzio Giglio

The simplest Lorentz-nonreciprocal medium has the constitutive relations (${\bf D} =\epso {\bf E} -{\bf \Gamma}\times {\bf H}$ and ${\bf B} =\muo {\bf H} + {\bf \Gamma}\times{\bf E}$). Scattering by a three-dimensional object composed of…

Designing freeform surfaces to control light based on real-world illumination patterns is challenging, as existing caustic lens designs often assume oversimplified point or parallel light sources. We propose representing surface light…

Graphics · Computer Science 2025-11-25 Sizhuo Zhou , Yuou Sun , Bailin Deng , Juyong Zhang