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A peculiar property of complex scattering potentials is the appearance of spectral singularities. These are energy eigenvalues for certain scattering states that similarly to resonance states have infinite reflection and transmission…

量子物理 · 物理学 2010-11-02 Ali Mostafazadeh

No surface is perfectly planar at all scales. The notion of flatness of a surface therefore depends on the size of the probe used to observe it. As a consequence rough interfaces are abundant in nature. Here the old, but still active field…

统计力学 · 物理学 2007-05-23 Ingve Simonsen

Waves scattered at a self-oscillating mode can exhibit superradiance, or net amplification of an external harmonic excitation. This exotic behavior, arising from the nonlinear coupling between the mode and the incident wave, is…

动力系统 · 数学 2023-03-22 Tiemo Pedergnana , Nicolas Noiray

We consider the scattering problem of the local perturbation of an open periodic waveguide in the half plane. Recently by Kirsch and Lechleiter, a new radiation condition was introduced in order to solve the unperturbed case. In this paper,…

偏微分方程分析 · 数学 2021-06-16 Takashi Furuya

A periodic arrangement of one-dimensional slits carved in perfect electric conductor is investigated and an equivalent model based on the effective medium theory is derived. The proposed model is no longer fully homogeneous and features…

光学 · 物理学 2016-12-14 Babak Rahmani , Khashayar Mehrany

Rapid advancements in the micro and nano-technology create unlimited opportunities for design of novel optical materials and their applications. Recently, the possibility of the fast refractive index modulation was demonstrated in…

光学 · 物理学 2022-06-23 V. V. Prosentsov

We study coherent wave scattering through waveguides with a step-like surface disorder and find distinct enhancements in the reflection coefficients at well-defined resonance values. Based on detailed numerical and analytical calculations,…

无序系统与神经网络 · 物理学 2014-05-13 J. Doppler , J. A. Méndez-Bermúdez , J. Feist , O. Dietz , D. O. Krimer , N. M. Makarov , F. M. Izrailev , S. Rotter

Starting from the rigorous excitation equation, the propagation of waves through a 2D waveguide with the periodically corrugated finite-length insert is examined in detail. The corrugation profile is chosen to obey the property that its…

介观与纳米尺度物理 · 物理学 2013-06-20 V. O. Goryashko , Yu. V. Tarasov , L. D. Shostenko

We introduce the longitudinal and transverse static surface modes and use them to solve the full-wave electromagnetic scattering problem from penetrable objects. The longitudinal static modes are the eigenmodes with zero surface curl of the…

介观与纳米尺度物理 · 物理学 2023-08-16 Carlo Forestiere , Giovanni Gravina , Giovanni Miano , Guglielmo Rubinacci , Antonello Tamburrino

We analyze long range wave propagation in three-dimensional random waveguides. The waves are trapped by top and bottom boundaries, but the medium is unbounded in the two remaining directions. We consider scalar waves, and motivated by…

偏微分方程分析 · 数学 2012-11-05 Liliana Borcea , Josselin Garnier

We experimentally demonstrate a type of waveguiding mechanism for coupled surface-wave defect modes in a surface-wave photonic crystal. Unlike conventional spoof surface plasmon waveguides, waveguiding of coupled surface-wave defect modes…

光学 · 物理学 2016-02-17 Zhen Gao , Fei Gao , Baile Zhang

Structural coloration produces some of the most brilliant colors in nature and has many applications. However, the two competing properties of narrow bandwidth and broad viewing angle have not been achieved simultaneously in previous…

光学 · 物理学 2015-04-09 Chia Wei Hsu , Owen D. Miller , Steven G. Johnson , Marin Soljačić

We consider wave propagation across an infinite waveguide of an arbitrary bounded cross-section, whose interior is blocked by two identical thick barriers with holes. When the holes are small, the waves over a broad range of frequencies are…

数学物理 · 物理学 2021-10-14 A. Delitsyn , D. S. Grebenkov

Metasurfaces offer unprecedented flexibility in the design and control of light propagation, replacing bulk optical components and exhibiting exotic optical effects. One of the basic properties of the metasurfaces, which renders them as…

We study light scattering by systems combining randomly rough surface and volume dielectric fluctuations. We introduce a general model including correlations between surface and volume disorders, and we study the scattering properties…

光学 · 物理学 2020-05-27 J. -P. Banon , I. Simonsen , R. Carminati

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…

数值分析 · 数学 2016-04-08 Charles L. Epstein , Michael O'Neil

The study of capillary wave scattering by a circular region with different interfacial properties from the rest of an otherwise homogeneous interface is motivated by experiments on wave attenuation at a monolayer covered air-water interface…

凝聚态物理 · 物理学 2016-08-31 T. Chou , S. K. Lucas , H. A. Stone

Linear discrete diffraction of light within a waveguide array allows control over the longitudinal spatial profile of light. We propose a method of using this control to effectively modulate the nonlinearity in a spontaneous four wave…

量子物理 · 物理学 2019-12-10 Philip B. Main , Peter J. Mosley , Andrey V. Gorbach

Consider time-harmonic acoustic scattering from a bounded penetrable obstacle $D\subset \mathbb R^N$ embedded in a homogeneous background medium. The index of refraction characterizing the material inside $D$ is supposed to be H\"older…

偏微分方程分析 · 数学 2015-07-29 Guanghui Hu , Mikko Salo , Esa V. Vesalainen

A classical optics waveguide structure is proposed to simulate resonances of short range one-dimensional potentials in quantum mechanics. The analogy is based on the well known resemblance between the guided and radiation modes of a…

量子物理 · 物理学 2015-09-01 Sara Cruz y Cruz , Oscar Rosas-Ortiz