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We outline a global approach to scattering theory in one dimension that allows for the description of a large class of scattering systems and their $\mathcal{P}$-, $\mathcal{T}$-, and $\mathcal{P}\mathcal{T}$-symmetries. In particular, we…

Quantum Physics · Physics 2019-01-25 Ali Mostafazadeh

Surface scattering and grain boundary scattering are two prominent mechanisms dictating the conductivity of interconnects and are traditionally modeled using the Fuchs-Sondheimer (FS) and Mayadas-Shatzkes (MS) theories, respectively. In…

Applied Physics · Physics 2025-05-21 Xinkang Chen , Sumeet Kumar Gupta

The time series of light reflected from exoplanets by future direct imaging can provide spatial information with respect to the planetary surface. We apply sparse modeling to the retrieval method that disentangles the spatial and spectral…

Earth and Planetary Astrophysics · Physics 2022-05-25 Atsuki Kuwata , Hajime Kawahara , Masataka Aizawa , Takayuki Kotani , Motohide Tamura

Electromagnetic wave scattering from planar dielectric films deposited on one-dimensional, randomly rough, perfectly conducting substrates is studied by numerical simulations for both p- and s-polarization. The reduced Rayleigh equation,…

Condensed Matter · Physics 2024-03-25 I. Simonsen , A. A. Maradudin

We obtain a nonperturbative, analytical solution to integral equation of scattering theory by assuming the field within the scattering object is a spherical wave with a scattering amplitude equal to that of the far field. This approximation…

Classical Physics · Physics 2018-09-26 Brian Slovick , Srini Krishnamurthy

We examine the reversible adsorption of hard spheres on a random site surface in which the adsorption sites are uniformly and randomly distributed on a plane. Each site can be occupied by one solute provided that the nearest occupied site…

Statistical Mechanics · Physics 2015-06-25 C. Oleyar , J. Talbot

We compare two different models of transport of light in a disordered system with a spherical Gaussian distribution of scatterers. A coupled dipole model, keeping into account all interference effects, is compared to an incoherent model,…

Field-theoretical method is efficient in predicting the assembling structures of polymeric systems. However, for the polymer/nanoparticle mixture, the continuous density description is not suitable to capture the realistic assembly of…

Soft Condensed Matter · Physics 2017-05-17 Hui-shu Li , Bo-kai Zhang , Jian Li , Wen-de Tian , Kang Chen

The behavior of a polyelectrolyte adsorbed on a charged substrate of high-dielectric constant is studied by both Monte-Carlo simulation and analytical methods. It is found that in a low enough ionic strength medium, the adsorption…

Soft Condensed Matter · Physics 2007-05-23 Chi-Ho Cheng , Pik-Yin Lai

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…

Soft Condensed Matter · Physics 2007-05-24 Julian Oberdisse

The scattering of waves by obstacles in a 2D setting is considered, in particular the computation of the scattered field via the collocation or the least-squares methods. In the case of multiple scattering by smooth obstacles, we prove that…

Numerical Analysis · Mathematics 2014-01-15 Gilles Chardon

We introduce an arbitrary order, computationally efficient method to smooth corners on curves in the plane, as well as edges and vertices on surfaces in $\mathbb R^3$. The method is local, only modifying the original surface in a…

Numerical Analysis · Mathematics 2016-04-08 Charles L. Epstein , Michael O'Neil

We propose a new modeling approach for scatter estimation and descattering in polyenergetic X-ray computed tomography (CT) based on fitting models to local neighborhoods of a training set. X-ray CT is widely used in medical and industrial…

Image and Video Processing · Electrical Eng. & Systems 2021-09-30 Michael T. McCann , Marc L. Klasky , Jennifer L. Schei , Saiprasad Ravishankar

In this paper the validity of the diffusion approximation for multiple scattering of classical waves in random medium in different regimes is investigated, with emphasize to weak localization effects. Many principle topics are discussed…

Disordered Systems and Neural Networks · Physics 2007-05-23 Peter Slavov

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

High-contrast scattering problems are special among classical wave systems as they allow for strong wave focusing and localisation at low frequencies. We use an asymptotic framework to develop a landscape theory for high-contrast systems…

Analysis of PDEs · Mathematics 2023-11-01 Bryn Davies , Yiqi Lou

Resuspension of solid particles by a tornado-like vortex from surfaces of different roughness is studied using a three-dimensional particle tracking velocimetry (3D-PTV) method. By utilizing the three-dimensional information on particle…

Fluid Dynamics · Physics 2015-09-29 Ron Shnapp , Alex Liberzon

The forward and backward scattering off linear systems with discrete rotational symmetries R_z (2{\pi} /n) with n $\ge$ 3 are shown to be restricted by symmetry reasons. Along the symmetry axis, forward scattering can only be helicity…

Optics · Physics 2013-11-28 Ivan Fernandez-Corbaton

Existing energy balance models, which estimate maximum droplet spreading, insufficiently capture the droplet spreading from low to high Weber and Reynolds numbers and contact angles. This is mainly due to the simplified definition of the…

Fluid Dynamics · Physics 2022-04-12 Yunus Tansu Aksoy , Pinar Eneren , Erin Koos , Maria Rosaria Vetrano

We derive certain constraints on the reflection matrix for reflection from a plane, nonmagnetic, optically anisotropic surface using a reciprocity theorem stated long ago by van de Hulst in the context of scattering of polarized light. The…

Optics · Physics 2015-05-13 Rajendra Bhandari
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