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Physical systems with material properties modulated in time provide versatile routes for designing magnetless nonreciprocal devices. Traditionally, nonreciprocity in such systems is achieved exploiting both temporal and spatial modulations,…

The homogenization procedure developed here is conducted on a laminate with periodic space-time modulation on the fine scale: at leading order, this modulation creates convection in the low-wavelength regime if both parameters are…

偏微分方程分析 · 数学 2024-07-12 Marie Touboul , Bruno Lombard , Raphaël Assier , Sébastien Guenneau , Richard Craster

We prove the possibility of achieving non-reciprocal wave propagation in space-time modulated media and give an asymptotic analysis of the non-reciprocity property in terms of the amplitude of the time-modulation. Such modulation causes a…

偏微分方程分析 · 数学 2021-09-16 Habib Ammari , Jinghao Cao , Erik Orvehed Hiltunen

We consider wave propagation through a 1D periodic network of slowly time-modulated interfaces. Each interface is modelled by time-dependent spring-mass jump conditions, where mass and rigidity interface parameters are modulated in time.…

数学物理 · 物理学 2026-03-31 Michaël Darche , Raphaël Assier , Sébastien Guenneau , Bruno Lombard , Marie Touboul

When considering an effective i.e. homogenized description of waves in periodic media that transcends the usual quasi-static approximation, there are generally two schools of thought: (i) the two-scale approach that is prevalent in…

偏微分方程分析 · 数学 2018-07-04 Shixu Meng , Bojan Guzina

Mechanical motion can break the symmetry in which sound travels in a medium, but significant non-reciprocity is typically achieved only for very large motion speeds. Here we combine moving media with zero-index acoustic propagation,…

应用物理 · 物理学 2019-08-14 Li Quan , Dimitrios L. Sounas , Andrea Alu

In this paper we develop homogenization theory for spatiotemporally modulated wire medium. We first solve for the modal waves that are supported by this composite medium, we show peculiar properties such as extraordinary waves that…

应用物理 · 物理学 2021-11-18 Michael Kreiczer , Yakir Hadad

In recent years a significant progress has been made in the development of magnet-less nonreciprocity using space-time modulation, both in electromagnetics and acoustics. This approach has so far resulted in a plethora of non-reciprocal…

应用物理 · 物理学 2019-06-18 Yakir Hadad , Dimitrios Sounas

We study two-dimensional wave propagation in materials whose properties vary periodically in one direction only. High order homogenization is carried out to derive a dispersive effective medium approximation. One-dimensional materials with…

数值分析 · 数学 2014-09-16 Manuel Quezada de Luna , David I. Ketcheson

Space-time-varying materials pledge to deliver nonreciprocal dispersion in linear systems by inducing an artificial momentum bias. Although such a paradigm eliminates the need for actual motion of the medium, experimental realization of…

应用物理 · 物理学 2020-02-18 M. A. Attarzadeh , J. Callanan , M. Nouh

Temporal metamaterials are artificially manufactured materials with time-dependent material properties that exhibit interesting phenomena when waves propagate through them. The propagation of electromagnetic waves in such time-varying…

偏微分方程分析 · 数学 2026-03-23 Christian Döding , Barbara Verfürth

Waveguides subject to spatiotemporal modulations are known to exhibit nonreciprocal vibration transmission, whereby interchanging the locations of the source and receiver change the end-to-end transmission characteristics. The scenario of…

应用物理 · 物理学 2025-10-20 Jiuda Wu , Behrooz Yousefzadeh

Willis materials are complex media characterized by four macroscopic material parameters, the conventional mass density, and bulk modulus and two additional Willis coupling terms, which have been shown to enable unsurpassed control over the…

应用物理 · 物理学 2019-06-12 Yuxin Zhai , Hyung-Suk Kwon , Bogdan-Ioan Popa

The thermal properties of a material with a spatio-temporal modulation in both the thermal conductivity and the mass density are studied. The special configuration studied here consists of a modulation in a wave-like fashion. It is found…

材料科学 · 物理学 2018-03-28 Daniel Torrent , Olivier Poncelet , Jean-Chirstophe Batsale

The homogenization of one-dimensional acoustic or elastic structures of finite extent is considered. A new homogenization method based on transfer matrices is derived. The new homogenization method may account for variable cross sectional…

流体动力学 · 物理学 2022-03-15 Michael B. Muhlestein , Alexei T. Skvortsov

We investigate how Rayleigh waves interact with modulated resonators located on the free surface of a semi-infinite elastic medium. We begin by studying the dynamics of a single resonator with time-modulated stiffness. In particular, we…

应用物理 · 物理学 2020-10-16 Antonio Palermo , Paolo Celli , Behrooz Yousefzadeh , Chiara Daraio , Alessandro Marzani

Materials with properties that are modulated in time are known to display wave phenomena showing energy increasing with time, with the rate mediated by the modulation. Until now there has been no accounting for material dissipation, which…

应用物理 · 物理学 2018-01-31 Daniel Torrent , William J. Parnell , Andrew N. Norris

Homogenization of the equations of motion for a three dimensional periodic elastic system is considered. Expressions are obtained for the fully dynamic effective material parameters governing the spatially averaged fields by using the plane…

数学物理 · 物理学 2012-04-26 A. N. Norris , A. L. Shuvalov , A. A. Kutsenko

A method to derive homogeneous effective constitutive equations for periodically layered elastic media is proposed. The crucial and novel idea underlying the procedure is that the coefficients of the dynamic effective medium can be…

材料科学 · 物理学 2011-04-22 A. L. Shuvalov , A. A. Kutsenko , A. N. Norris , O. Poncelet

Acoustic and elastic metamaterials with time- and space-dependent material properties have received great attention recently as a means to break reciprocity for propagating mechanical waves, achieving greater directional control. One…

应用物理 · 物理学 2021-10-06 Benjamin M. Goldsberry , Samuel P. Wallen , Michael R. Haberman
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