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We study, both experimentally and numerically, the Anderson localization phenomenon in torsional waves of a disordered elastic rod, which consists of a cylinder with randomly spaced notches. We find that the normal-mode wave amplitudes are…

Chaotic Dynamics · Physics 2015-06-04 J. Flores , L. Gutiérrez , R. A. Méndez-Sánchez , G. Monsivais , P. Mora , A. Morales

In this paper, we discuss the transport phenomena of electromagnetic waves in a two-dimensional random system which is composed of arrays of electrical dipoles, following the model presented earlier by Erdogan, et al. (J. Opt. Soc. Am. B…

Soft Condensed Matter · Physics 2009-11-10 Ken Wang , Zhen Ye

We consider frequency fluctuations in self-sustained oscillators based on nonlinear underdamped resonators. An important type of such resonators are nano- and micro-electro-mechanical systems. Various noise sources are considered, with the…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 N. J. Miller , S. W. Shaw , M. I. Dykman

We study acoustic propagation in one dimensional water ducts containing many air-filled blocks. The acoustic band structures for the periodic arrangements of the blocks is calculated, whereas the transmission for various random…

Condensed Matter · Physics 2015-06-24 Pi-Gang Luan , Zhen Ye

Resonances in quantum mechanics are commonly introduced as quasi-bound states embedded in the continuum, a perspective that can be conceptually challenging due to the abstract nature of continuum states. In this work, we discuss an…

Quantum Physics · Physics 2026-05-28 Daniel Kromm , Hans-Werner Hammer , Artem Volosniev

Electromagnetic properties of periodic two-dimensional sub-wavelength structures consisting of closely-packed inclusions of materials with negative dielectric permittivity $\epsilon$ in a dielectric host with positive $\epsilon_h$ can be…

Materials Science · Physics 2009-11-10 Gennady Shvets , Yaroslav Urzhumov

The research in topological materials and meta-materials reached maturity and is now gradually entering the phase of practical applications and devices. However, scaling down the experimental demonstrations definitely presents a challenge.…

Applied Physics · Physics 2018-12-27 David Apigo , Kai Qian , Camelia Prodan , Emil Prodan

We show that quasi localized low-frequency modes in the vibrational spectrum can be used to construct soft spots, or regions vulnerable to rearrangement, which serve as a universal tool for the identification of flow defects in solids. We…

Soft Condensed Matter · Physics 2015-06-19 Joerg Rottler , Samuel S. Schoenholz , Andrea J. Liu

In this paper, we present a general theory of aperiodic subwavelength arrays for controlling electromagnetic waves. The considered platform is formed by an array of electrically small loaded scatterers above a ground plane. While the array…

Applied Physics · Physics 2025-03-19 Yongming Li , Xikui Ma , Xuchen Wang , Sergei A. Tretyakov

A theoretical investigation is made of acoustic wave propagation in a periodically stubbed waveguide. In general the waveguide segments and stubs are made of different materials. The acoustic wave in such a system has two independent…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 X. F. Wang , M. S. Kushwaha , P. Vasilopoulos

In this work it is shown how to obtain, in a simple way, localized (non- diffractive) subluminal pulses as exact analytic solutions to the wave equations. These new ideal subluminal solutions, which propagate without distortion in any…

Classical Physics · Physics 2008-08-29 Michel Zamboni-Rached , Erasmo Recami

Mode conversion of transverse electromagnetic waves into longitudinal oscillations and the associated resonant absorption of wave energy in inhomogeneous plasmas is a phenomenon that has been studied extensively in plasma physics. We show…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 Kihong Kim , Seulong Kim

We study Anderson localization of a scalar wave in an ensemble of resonant point scatterers embedded in an anisotropic background medium. For uniaxial anisotropy of moderate strength, the mobility edges and the critical exponent of the…

Disordered Systems and Neural Networks · Physics 2021-07-27 Antton Goïcoechea , John H. Page , Sergey E. Skipetrov

We study a Helmholtz-type spectral problem related to the propagation of electromagnetic waves in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a two-dimensional periodic medium. The defect is…

Mathematical Physics · Physics 2012-04-05 Malcolm Brown , Vu Hoang , Michael Plum , Ian Wood

Analysis of the properties of resonant modes in a reentrant cavity structure comprising of a post and a ring was undertaken and verified experimentally. In particular we show the existence of higher order reentrant cavity modes in such a…

Instrumentation and Detectors · Physics 2014-03-12 Y. Fan , Z. Zhang , N. C. Carvalho , J-M. Le Floch , Q. Shan , M. E. Tobar

In this article the physics of horizontally polarized shear waves travelling across a locally resonant metasurface in an unconsolidated granular medium is experimentally and numerically explored. The metasurface is comprised of an…

This is the first study on the mode localization phenomenon in microbeams due to surface roughness. A new model for microbeams with rough surfaces is developed. The natural frequencies and mode shapes of cantilever, simple supported, and…

Applied Physics · Physics 2018-03-08 Mohamed Shaat

Phase modulation plays a crucial role in various terahertz applications, including biomedical imaging, high-rate communication, and radar detection. Existing terahertz phase shifters typically rely on tuning the resonant effect of…

Optics · Physics 2023-05-19 Xudong Liu , Daosong Yu , Chuanfu Sun , Zhijie Mei , Hao Chen , Jianbin Xu , Yiwen Sun

In this paper, we investigate a resonant system comprising $N$ closely packed spherical resonators ($N>2$). We analyze how the spatial arrangement of these resonators influences the distribution of resonant frequencies, focusing on…

Analysis of PDEs · Mathematics 2025-06-11 Haigang Li , Junhua Zhang

Resonant modes determine the response of electromagnetic devices, including dielectric and plasmonic resonators. Relying on the degrees of freedom that metamaterials provide, this contribution shows how to design, at will, the resonant…