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The synthesis of a metasurface exhibiting a specific set of desired scattering properties is a time-consuming and resource-demanding process, which conventionally relies on many cycles of full-wave simulations. It requires an experienced…

Signal Processing · Electrical Eng. & Systems 2021-09-15 Parinaz Naseri , Sean V. Hum

Based on fundamental properties of light scattering by a particle we reveal the existence of the ultimate upper limit for the light absorption by any partial mode. First, we obtain this result for scattering of a plane wave by a symmetric…

Optics · Physics 2018-01-24 Andrey E. Miroshnichenko , Michael I. Tribelsky

With the help of numerical simulations we study N-soliton scattering (N=3,4) in the (2+1)-dimensional CP^1 model with periodic boundary conditions. When the solitons are scattered from symmetrical configurations the scattering angles…

High Energy Physics - Theory · Physics 2008-11-26 R. J. Cova , W. J. Zakrzewski

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 study the light scattered from randomly rough, one-dimensional self-affine fractal silver surfaces with nanoscale lower cutoff, illuminated by s- or p-polarized Gaussian beams a few microns wide. By means of rigorous numerical…

Disordered Systems and Neural Networks · Physics 2009-11-07 J. A. Sanchez-Gil , J. V. Garcia-Ramos , E. R. Mendez

Interfering liquid surface waves are generated by electrically driven vertical oscillations of two or more equispaced pins immersed in a liquid (water). The corresponding intensity distribution, resulting from diffraction of monochromatic…

Optics · Physics 2009-11-10 Tarun Kr. Barik , Anushree Roy , Sayan Kar

In this note, we establish an asymptotic formula for the number of rational points of bounded height on the singular cubic surface $$ x_0(x_1^2 + x_2^2)=x_3^3 $$ with a power-saving error term, which verifies the Manin-Peyre conjectures for…

Number Theory · Mathematics 2018-12-13 Régis de la Bretèche , Kevin Destagnol , Jianya Liu , Jie Wu , Yongqiang Zhao

The atmospheric scattering of light has a significant influence on results of optical observations of air showers. It causes attenuation of direct light from the shower, but also contributes a delayed signal to the observed light. The…

Instrumentation and Methods for Astrophysics · Physics 2013-09-10 Jan Pekala , Henryk Wilczynski

The presence of a scattering medium in the imaging path between an object and an observer is known to severely limit the visual acuity of the imaging system. We present an approach to circumvent the deleterious effects of scattering, by…

A generalization of the S-parameter retrieval method for finite three-dimensional inhomogeneous objects under arbitrary illumination and observation conditions is presented. The effective permittivity of such objects may be rigorously…

Classical Physics · Physics 2010-02-12 Shreyas B. Raghunathan , Neil V. Budko

Incoherent surface scattering yields a statistical description of the surface, due to the ensemble averaging over many independently sampled volumes. Depending on the state of the surface and direction of the scattering vector relative to…

Statistical Mechanics · Physics 2009-11-11 Darren Dale , Aaron Fleet , Y. Suzuki , J. D. Brock

We investigate the wave-optical light scattering properties of deformed thin circular films of constant thickness using the discrete-dipole approximation. Effects on the intensity distribution of the scattered light due to different…

Optics · Physics 2020-10-09 Hannu Parviainen , Kari Lumme

A stochastic method is introduced for geometric modeling aerosol surface roughness with random field and discrete differential geometry theory. Optical scattering properties are computed for randomly oriented spheroidal particles with…

Atmospheric and Oceanic Physics · Physics 2017-10-24 Jianing Zhang

A single-source surface integral equation (SS-SIE) for transverse electric (TE) scattering from cylindrical multilayered objects is proposed in this paper. By incorporating the differential surface admittance operator (DSAO) and recursively…

Computational Engineering, Finance, and Science · Computer Science 2021-12-15 Zekun Zhu , Xiaochao Zhou , Shunchuan Yang , Zhizhang , Chen

An inverse problem of finding an obstacle and the boundary condition on its surface from the fixed-energy scattering data is studied. A new method is developed for a proof of the uniqueness results. The method does not use the discreteness…

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

We investigate the scattering of 2D cylindrical invisibility cloaks with simplified constitutive parameters with the assistance of scattering coefficients. We show that the scattering of the cloaks originates not only from the boundary…

Optics · Physics 2011-03-14 Liang Peng , Lixin Ran , N. Asger Mortensen

Scattering problems for periodic structures have been studied a lot in the past few years. A main idea for numerical solution methods is to reduce such problems to one periodicity cell. In contrast to periodic settings, scattering from…

Numerical Analysis · Mathematics 2016-11-22 Armin Lechleiter , Ruming Zhang

In many Direct and Inverse Scattering problems one has to use a parameter-fitting procedure, because analytical inversion procedures are often not available. In this paper a variety of such methods is presented with a discussion of…

Numerical Analysis · Mathematics 2007-05-23 Alexander G. Ramm , Semion Gutman

In this study, we define some new types of ruled surfaces called slant ruled surfaces. We give some characterizations for a regular ruled surface to be a slant ruled surface in Euclidean 3- space. We show that if the slant ruled surface is…

Differential Geometry · Mathematics 2018-06-05 Mehmet Önder

In order for surface scattering models to be accurate they must necessarily satisfy energy conservation and reciprocity principles. Roughness scattering models based on Kirchoff's approximation or perturbation theory do not satisfy these…

Classical Physics · Physics 2016-01-20 Karthik Sasihithlu , Nir Dahan , Jean-Paul Hugonin , Jean-Jacques Greffet
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