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Dynamic modulation of material properties in space and time enables powerful control over wave propagation, yet existing theories largely rely on idealized, nondispersive models. In realistic media, frequency dispersion can strongly reshape…

光学 · 物理学 2026-04-02 Klaas De Kinder , Christophe Caloz

Multiscale problems are computationally costly to solve by direct simulation because the smallest scales must be represented over a domain determined by the largest scales of the problem. We have developed and analyzed new numerical methods…

数值分析 · 数学 2011-11-11 Björn Engquist , Henrik Holst , Olof Runborg

The free propagation of acoustic plane waves through cellular periodic materials is generally accompanied by a flow of mechanical energy across the adjacent cells. The paper focuses on the energy transport related to dispersive waves…

经典物理 · 物理学 2018-03-23 Andrea Bacigalupoa , Marco Lepidi

This work analyzes the scattering resonances of general acoustic media in a one-dimensional setting using the propagation matrix approach. Specifically, we characterize the resonant frequencies as the zeros of an explicit trigonometric…

偏微分方程分析 · 数学 2025-12-02 Yi Huang , Bowen Li , Ping Liu , Yingjie Shao

In this paper, we use a straightforward numerical method to solve scattering models in one-dimensional lattices based on a tight-binding band structure. We do this by using the wave packet approach to scattering, which presents a more…

物理教育 · 物理学 2022-07-06 M. Staelens , F. Marsiglio

We study the transport and localization properties of scalar vibrations on a lattice with random bond strength by means of the transfer matrix method. This model has been recently suggested as a means to investigate the vibrations and heat…

无序系统与神经网络 · 物理学 2007-05-23 Omri Gat , Zeev Olami

We experimentally study the scattering of guided matter waves on an amplitude-modulated optical lattice. We observe different types of frequency-dependent dips in the asymptotic output density distribution. Their positions are compared…

We study the propagation and localization of classical waves in one-dimensional disordered structures composed of alternating layers of left- and right-handed materials (mixed stacks) and compare them to the structures composed of different…

In these last years, many studies have focalized on the design of reliable underwater acoustic communication systems. However, the ocean acoustic communication channel exhibits strong amplitude and phase fluctuations and the phenomena of…

信号处理 · 电气工程与系统科学 2019-07-16 Yasin Yousif Al-Aboosi , Hussein A. Abdulnabi

This paper is concerned with the asymptotic description of high-frequency waves in locally periodic media. A key issue is that the Bloch-dispersion curves vary with the local microstructure, giving rise to hidden singularities associated…

光学 · 物理学 2016-12-13 Ory Schnitzer

The cubic nonlinear Helmholtz equation with third and fourth order dispersion and non-Kerr nonlinearity like the self steepening and the self frequency shift is considered. This model describes nonparaxial ultrashort pulse propagation in an…

斑图形成与孤子 · 物理学 2022-09-21 Naresh Saha , Barnana Roy , Avinash Khare

The 'vertical modes and horizontal rays' method, commonly applied for simulating acoustic wave propagation in shallow water is advanced in this research. Our approach to this method involves the use of the so-called space-time rays, which…

数学物理 · 物理学 2025-01-08 Aleksandr Kaplun , Boris Katsnelson

We consider the time-harmonic acoustic wave scattering by a bounded {\it anisotropic inhomogeneity} embedded in an unbounded {\it anisotropic} homogeneous medium. The material parameters may have discontinuities across the interface between…

偏微分方程分析 · 数学 2018-12-26 Otar Chkadua , Sergey E. Mikhailov , David Natroshvili

We numerically study a one dimensional, nonlinear lattice model which in the linear limit is relevant to the study of bending (flexural) waves. In contrast with the classic one dimensional mass-spring system, the linear dispersion relation…

We present a theory of electron, electromagnetic, and elastic wave propagation in systems consisting of non-overlapping scatterers in a host medium. The theory provides a framework for a unified description of wave propagation in…

凝聚态物理 · 物理学 2009-11-07 A. Modinos , N. Stefanou , I. E. Psarobas , V. Yannopapas

Traveling waves triggered by a phase slip in coupled map lattices are studied. A local phase slip affects globally the system, which is in strong contrast with kink propagation. Attractors with different velocities coexist, and form…

chao-dyn · 物理学 2009-10-22 Kunihiko Kaneko

We consider wave scattering from a system of highly contrasting resonators with time-modulated material parameters. In this setting, the wave equation reduces to a system of coupled Helmholtz equations that models the scattering problem. We…

数学物理 · 物理学 2024-01-05 Habib Ammari , Jinghao Cao , Erik Orvehed Hiltunen , Liora Rueff

This work investigates wave propagation in undulated square structural lattices. The undulated pattern is obtained by imposing an initial curvature to the lattice's elements. The study considers both periodic undulated structures, in which…

材料科学 · 物理学 2015-12-02 Giuseppe Trainiti , Julian J. Rimoli , Massimo Ruzzene

We study the effects of periodically time varying mass on the stability of the Helmholtz oscillator, which, when linearised, takes the form of Ince's equation and exhibits parametric resonance. The resonance regions in the parameter space…

动力系统 · 数学 2007-05-23 Richard A. Morrison

We consider a one-dimensional mono-atomic lattice with random perturbations of masses spread over a finite number of particles. Assuming Newtonian dynamics and linear nearest-neighbour interactions and allowing for a provision of pinning…

概率论 · 数学 2024-01-30 Josselin Garnier , Basant Lal Sharma