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相关论文: Scattering by a periodic array of subwavelength sl…

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This is the second part in a series of two papers that concern with the quantitative analysis of the electromagnetic field enhancement and anomalous diffraction by a periodic array of subwavelength slits. In this part, we explore the…

偏微分方程分析 · 数学 2017-06-08 Junshan Lin , Hai Zhang

This work concerns resonant scattering by a perfectly conducting slab with periodically arranged subwavelength slits, with two slits per period. There are two classes of resonances, corresponding to poles of a scattering problem. A sequence…

偏微分方程分析 · 数学 2020-07-14 Junshan Lin , Stephen P. Shipman , Hai Zhang

This dissertation is concerned with understanding and analyzing some of the effects of diffraction in the near field. The contributions of homogeneous and of evanescent waves to two-dimensional near-field diffraction patterns of scalar…

光学 · 物理学 2007-05-23 Marek W. Kowarz

In this paper, we present a mathematical study of wave scattering by a hard elastic obstacle embedded in a soft elastic body in three dimensions. Our contributions are threefold. First, we characterize subwavelength resonances using the…

偏微分方程分析 · 数学 2025-01-14 Bochao Chen , Yixian Gao , Peijun Li , Yuanchun Ren

Subwavelength gratings, with period shorter than the incident wavelength, have garnered significant attention in the fields of photonics, optoelectronics, and image sensor technology. In this research, we delve into the scattering…

光学 · 物理学 2023-10-19 Alexander Chernyavsky , Alexey Bereza , Leonid Frumin , David Shapiro

We investigate the Fano resonance in grating structures by using coupled resonators. The grating consists of a perfectly conducting slab with periodically arranged subwavelength slit holes, where inside each period, a pair of slits sit very…

偏微分方程分析 · 数学 2020-06-30 Junshan Lin , Hai Zhang

The review is devoted to a discussion of new (and often unexpected) aspects of the old problem of elastic light scattering by small metal particles, whose size is comparable to or smaller than the thickness of the skin layer. The main focus…

光学 · 物理学 2020-09-21 Michael I. Tribelsky , Andrey E. Miroshnichenko

The scattering of quasiperiodic waves for a two-dimensional Helmholtz equation with a constant refractive index perturbed by a function which is periodic in one direction and of finite support in the other is considered. The scattering…

数学物理 · 物理学 2019-10-23 P. Zhevandrov , A. Merzon , M. I. Romero Rodríguez , J. E. de la Paz Méndez

Electromagnetic scattering bounds on subwavelength structures play an important role in estimating performances of antennas, RFID tags, and other wireless communication devices. An appealing approach to increase a scattering cross-section…

Nowadays nanotechnology allows to scale-down various important devices (sensors, chips, fibres, etc), and, thus, opens up new horizon for their applications. Nevertheless, the efficiency most of them is still based on the fundamental…

材料科学 · 物理学 2010-08-13 Andrey E. Miroshnichenko , Sergej Flach , Yuri S. Kivshar

We study the scattering of magnetoinductive plane waves by internal (external) capacitive (inductive) defects coupled to a one-dimensional split-ring resonator array. We examine a number of simple defect configurations where Fano resonances…

光学 · 物理学 2015-03-17 Uta Naether , Mario I. Molina

We study transmission properties of discrete networks composed of linear arrays coupled to systems of N side defects, and demonstrate the basic principles of the resonant scattering management through engineering Fano resonances. We find…

其他凝聚态物理 · 物理学 2007-05-23 Andrey E. Miroshnichenko , Yuri S. Kivshar

Diffraction patterns of electrons are believed to resemble those of electromagnetic waves (EMW). I performed a series of experiments invoked to show that the periodicity of peaks in the diffraction diagram of electrons is concerned with the…

综合物理 · 物理学 2010-02-23 Victor V. Demjanov

In this research, we report the experimental evidence of the directional Fano resonances at the scattering of a plane, linearly polarized electromagnetic wave by a homogeneous dielectric sphere with high refractive index and low losses. We…

This work presents a mathematical theory for electromagnetic scattering resonances in a subwavelength annular hole embedded in a metallic slab, with the annulus width $h\ll1$. The model is representative among many 3D subwavelength hole…

数学物理 · 物理学 2022-05-12 Junshan Lin , Wangtao Lu , Hai Zhang

We present an analytical model of the resonantly enhanced transmission of light through a subwavelength nm-size slit in a thick metal film. The simple formulae for the transmitted electromagnetic fields and the transmission coefficient are…

光学 · 物理学 2009-11-11 S. V. Kukhlevsky , M. Mechler , O. Samek , K. Janssens

This paper employs layer potential techniques to investigate wave scattering in two-dimensional elastic media exhibiting high contrasts in both Lam\'{e} parameters and density. Our contributions are fourfold. First, we construct an…

偏微分方程分析 · 数学 2025-10-03 Yuanchun Ren , Yixian Gao

When a plane electromagnetic wave impinges upon a diffraction grating or other periodic structures, reflected and transmitted waves propagate away from the structure in different radiation channels. A diffraction anomaly occurs when the…

计算物理 · 物理学 2022-10-05 Zitao Mai , Ya Yan Lu

We study resonant light scattering in arrays of channel optical waveguides where tunable quadratic nonlinearity is introduced as nonlinear defects by periodic poling of single (or several) waveguides in the array. We describe novel features…

斑图形成与孤子 · 物理学 2009-11-10 A. E. Miroshnichenko , Y. S. Kivshar , R. A. Vicencio , M. I. Molina

The points where diffraction orders emerge or vanish in the propagating spectrum of periodic non-Hermitian systems are referred to as scattering thresholds. Close to these branch points, resonances from different Riemann sheets can…

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