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We deal with the inverse scattering problem of determining the surface impedance of a partially coated obstacle. We prove a stability estimate of logarithmic type for the impedance term by the far field measurements.

Analysis of PDEs · Mathematics 2007-05-23 Eva Sincich

In front of a mirror, the radiation of weakly driven large disordered clouds presents an interference fringe in the backward direction, on top of an incoherent background. Although strongly driven atoms usually present little coherent…

Atomic Physics · Physics 2017-12-06 N. Piovella , R. Celistrino Teixeira , R. Kaiser , Ph. W. Courteille , R. Bachelard

A 2D problem of acoustic wave scattering by a segment bearing impedance boundary conditions is considered. In the current paper (the first part of a series of two) some preliminary steps are made, namely, the diffraction problem is reduced…

Analysis of PDEs · Mathematics 2015-12-24 Andrey V. Shanin , Andrey I. Korolkov

Metasurfaces enable powerful control of electromagnetic waves using subwavelength planar structures, but their deeply subwavelength periodicity typically suppresses propagating diffraction orders, which limits the number of available…

Optics · Physics 2026-05-14 Karim Achouri

Wave scattering from a cylinder with a tensor impedance surface is investigated based on the Lorentz-Mie theory. A practical example of such a cylinder is a subwavelength metallic rod with helical dielectric-filled corrugations. The…

This paper proposes an intelligent reflecting surface (IRS) assisted integrated sensing and communication (ISAC) system operating at the millimeter-wave (mmWave) band. Specifically, the ISAC system combines communication and radar…

Signal Processing · Electrical Eng. & Systems 2024-04-10 Zhengyu Zhu , Zheng Li , Zheng Chu , Gangcan Sun , Wanming Hao , Pei Xiao , Inkyu Lee

We investigate in a $2$D setting the scattering of time-harmonic electromagnetic waves by a plasmonic device, represented as a non dissipative bounded and penetrable obstacle with a negative permittivity. Using the $\textrm{T}$-coercivity…

Numerical Analysis · Mathematics 2016-08-31 Anne-Sophie Bonnet-Ben Dhia , Camille Carvalho , Lucas Chesnel , Patrick Ciarlet

We propose a model for realizing frequency-dependent spatial variations of the probe susceptibility in a cold atomic sample. It is found that the usual Kramers-Kronig (KK) relation between real and imaginary parts of the probe…

Quantum Physics · Physics 2022-03-04 Yan Zhang , Jin-Hui Wu , M. Artoni , G. C. La Rocca

We consider resonant scatterers with large scattering cross-sections in graphene that are produced by a gated disk or a vacancy, and show that a gated ring can be engineered to produce an efficient electron cloak. We also demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2015-04-23 Diego Oliver , Jose H. Garcia , Tatiana G. Rappoport , N. M. R. Peres , Felipe A. Pinheiro

We experimentally demonstrate coherent light scattering from an atomic Mott insulator in a two-dimensional lattice. The far-field diffraction pattern of small clouds of a few hundred atoms was imaged while simultaneously laser cooling the…

Designing reconfigurable metasurfaces that can dynamically control scattered electromagnetic waves and work in the near-infrared (NIR) and optical regimes remains a challenging task, which is hindered by the static material property and…

In this paper, we establish two sharp quantitative results for the direct and inverse time-harmonic acoustic wave scattering. The first one is concerned with the recovery of the support of an inhomogeneous medium, independent of its…

Analysis of PDEs · Mathematics 2022-01-07 Emilia L. K. Blåsten , Hongyu Liu

We develop the theory of a special type of scattering state in which a set of asymptotic channels are chosen as inputs and the complementary set as outputs, and there is zero reflection back into the input channels. In general an infinite…

Optics · Physics 2020-12-09 William R. Sweeney , Chia Wei Hsu , A. Douglas Stone

In this paper, we consider inverse time-harmonic acoustic and electromagnetic scattering from locally perturbed rough surfaces in three dimensions. The scattering interface is supposed to be the graph of a Lipschitz continuous function with…

Analysis of PDEs · Mathematics 2018-12-24 Yu Zhao , Guanghui Hu , Baoqiang Yan

In this paper, we present a new mathematical foundation for image-based lighting. Using a simple manipulation of the local coordinate system, we derive a closed-form solution to the light integral equation under distant environment…

Computer Vision and Pattern Recognition · Computer Science 2017-05-16 Mais Alnasser , Hassan Foroosh

An approximate method is proposed for the recovery of a compactly supported spherically-symmetric potential from the set of fixed-energy phase-shifts known for all angular momenta. The method reduces the inverse scattering problem to a…

Mathematical Physics · Physics 2016-09-07 A. G. Ramm , W. Scheid

We report the experimental verification of metamaterial cloaking for a 3D object in free space. We apply the plasmonic cloaking technique, based on scattering cancellation, to suppress microwave scattering from a finite-length dielectric…

Materials Science · Physics 2018-05-21 David Rainwater , Aaron Kerkhoff , Kevin Melin , Jason Soric , Gabriel Moreno , Andrea Alu

The perfectly matched layers method is a well known truncation technique for its efficiency and convenience in numerical implementations of wave scattering problems in unbounded domains. In this paper, we study the convergence of the…

Numerical Analysis · Mathematics 2024-01-02 Andreas Kirsch , Ruming Zhang

In this work we developed a new problem solution methodology of contact interaction of acoustic medium with resilient finite bodies of cylindrical form, based on application of boundary integral equations method in conjunction with series…

Atmospheric and Oceanic Physics · Physics 2007-05-23 V. I. Demchuk , B. J. Datsko , A. N. Ponomaryov

The key challenge in current research into electromagnetic cloaking is to achieve invisibility over an extended bandwidth. There has been significant progress towards this using the idea of cloaking by sweeping under the carpet of Li and…