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We consider the problem of fixed frequency acoustic scattering from a sound-soft flat screen. More precisely the obstacle is restricted to a two-dimensional plane and interacting with a arbitrary incident wave, it scatters acoustic waves to…

偏微分方程分析 · 数学 2020-07-20 Emilia Blåsten , Lassi Päivärinta , Sadia Sadique

Non-reciprocal systems have been shown to exhibit various interesting wave phenomena, such as the non-Hermitian skin effect, which causes accumulation of modes at boundaries. Recent research on discrete systems showed that this effect can…

应用物理 · 物理学 2025-07-24 Felix Langfeldt , Joe Tan , Sayan Jana , Lea Sirota

We demonstrate that an effective near-zero refractive index can emerge from collective light scattering in a discrete atomic lattice, using essentially exact microscopic simulations. In a 25-layer array, cooperative response leads to over a…

光学 · 物理学 2025-12-08 L. Ruks , J. Ruostekoski

We are aiming to identify the thin insulating inhomogeneities and small conductive inhomogeneities inside an electrically conducting medium by using multi-frequency electrical impedance tomography (mfEIT). The thin insulating…

偏微分方程分析 · 数学 2016-08-24 Habib Ammari , Jin Keun Seo , Tingting Zhang

The paper presents the results of a theoretical study of the noise shielding effect of a subsonic turbulent jet located near a rigid screen. The developed theoretical model, based on the methods of the Geometrical Theory of Diffraction…

流体动力学 · 物理学 2024-11-18 O. P. Bychkov , S. A. Chernyshev , S. L. Denisov , G. A. Faranosov

We introduce an improved and simplified structure made of periodic arrays of pairs of H-shaped metallic wires that offer a potentially simpler approach in building negative-index materials. Using simulations and microwave experiments, we…

光学 · 物理学 2007-05-23 Jiangfeng Zhou , Thomas Koschny , Lei Zhang , Gary Tuttle , Costas M. Soukoulis

The theoretical mechanism for realizing the negative refractive index with {\it electromagnetically induced transparency} (EIT) is studied. It is shown that in a three-level dense atomic gas, there is a frequency band in which the EIT…

材料科学 · 物理学 2009-09-29 Jian Qi Shen , Zhi Chao Ruan , Sailing He

We derive an effective medium theory for acoustic wave propagation in bubbly fluid near Minnaert resonant frequency. We start with a multiple scattering formulation of the scattering problem of an incident wave by a large number of…

偏微分方程分析 · 数学 2016-04-29 Habib Ammari , Hai Zhang

Electromagnetic negative refraction in metamaterials has attracted increasingly great interest, since its first experimental verification in 2001. It potentially leads to the applications superior to conventional devices including compact…

量子物理 · 物理学 2009-07-03 Durdu O. Guney , David A. Meyer

The aim of this paper is to provide a mathematical and numerical framework for the analysis and design of bubble meta-screens. An acoustic meta-screen is a thin sheet with patterned subwavelength structures, which nevertheless has a…

偏微分方程分析 · 数学 2016-08-10 Habib Ammari , Brian Fitzpatrick , David Gontier , Hyundae Lee , Hai Zhang

We show that negative refraction in materials can occur at frequencies $\omega$ where the real parts of the permittivity $\veps(\omega)$ and the permeability $\mu(\omega)$ have different sign, and that light with such frequencies can…

光学 · 物理学 2024-06-24 Y. B. Band , Igor Kuzmenko , Marek Trippenbach

The scattering of waves is a ubiquitous phenomenon in physics, yet there are numerous scenarios, such as the pursuit of invisibility, where suppressing it is of utmost importance. In comparison to prior methods which are restricted by…

应用物理 · 物理学 2023-05-02 Chenkai Liu , Chu Ma , Yun Lai , Nicholas X. Fang

This paper is concerned with the reconstruction of the shape of an acoustic obstacle. Based on the use of the tapered waves with very narrow widths illuminating the obstacle, the boundary of the obstacle is reconstructed by a direct imaging…

数值分析 · 数学 2024-10-10 Deyue Zhang , Mengjiao Bai , Yan Chang , Yukun Guo

As is well known, the sound-speed profile has significant effects on underwater acoustic sound propagation. These effects can be quantified by normal-mode models, for example. The basic case is a laterally homogeneous medium, for which the…

大气与海洋物理 · 物理学 2016-04-11 Sven Ivansson

We report numerical experiments of optical wave propagation in composites of high refractive index dielectric rods at frequencies where their first electric and magnetic Mie resonances are excited. The arrays of these particles have been…

光学 · 物理学 2015-06-03 F. J. Valdivia-Valero , M. Nieto-Vesperinas

We have developed a scattering-matrix approach for numerical calculation of resonant states and Q-values of a nonideal optical disk cavity of an arbitrary shape and of an arbitrary varying refraction index. The developed method has been…

光学 · 物理学 2009-11-10 A. I. Rahachou , I. V. Zozoulenko

In this paper we consider the inverse electromagnetic scattering for a cavity surrounded by an inhomogeneous medium in three dimensions. The measurements are scattered wave fields measured on some surface inside the cavity, where such…

偏微分方程分析 · 数学 2020-12-10 Fang Zeng , Shixu Meng

We formally deduce closed-form expressions for the transmitted effective wavenumber of a material comprising multiple types of inclusions or particles (multi-species), dispersed in a uniform background medium. The expressions, derived here…

经典物理 · 物理学 2018-05-09 Artur L. Gower , Michael J. A. Smith , William J. Parnell , Ian David Abrahams

Multi-layered structures are widely used in the construction of metamaterial devices to realize various cutting-edge waveguide applications. This paper makes several contributions to the mathematical analysis of subwavelength resonances in…

偏微分方程分析 · 数学 2025-04-09 Youjun Deng , Lingzheng Kong , Yongjian Liu , Liyan Zhu

We calculate the differential, total, and transport cross-sections for scattering of two-dimensional massless Dirac electrons by a circular barrier. For scatterer of a small radius, the cross-sections are dominated by quantum effects such…

介观与纳米尺度物理 · 物理学 2014-12-02 Jhih-Sheng Wu , Michael M. Fogler