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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…

Materials Science · Physics 2015-12-02 Giuseppe Trainiti , Julian J. Rimoli , Massimo Ruzzene

Transformation media theory, which steers waves in solids via an effective geometry induced by a refractive material (Fermat's principle of least action), provides a means of controlling vibrations and elastic waves beyond the traditional…

Applied Physics · Physics 2018-08-01 Sophia R. Sklan , Ronald Y. S. Pak , Baowen Li

Liquid crystal elastomers are special cross-linked polymer materials combining the large elastic deformability of elastomers with the orientational orders of liquid crystals. This model exhibits markedly different phenomena than the liquid…

Analysis of PDEs · Mathematics 2023-07-18 Xiaonan Hao , Jiaxi Huang , Ning Jiang

Recent remarkable progress in wave-front shaping has enabled control of light propagation inside linear media to focus and image through scattering objects. In particular, light propagation in multimode fibers comprises complex intermodal…

Adaptation and Self-Organizing Systems · Physics 2017-07-17 Omer Tzang , Antonio M. Caravaca-Aguirre , Kelvin Wagner , Rafael Piestun

The multi-wave exact resonance condition is a fundamental principle for understanding energy transfer in condensed matter systems, yet the dynamical evolution of waves satisfying this condition remains unexplored. Here, we reveal that the…

Statistical Mechanics · Physics 2025-07-09 Wei Lin , Yong Zhang , Hong Zhao

Extremal elastic materials here refer to a specific class of elastic materials whose elastic matrices exhibit one or more zero eigenvalues, resulting in soft deformation modes that, in principle, cost no energy. They can be approximated…

Classical Physics · Physics 2024-09-09 Yu Wei , Yi Chen , Wen Cheng , Xiaoning Liu , Gengkai Hu

The description of complex wave processes, in addition to the shoaling problem, is often cumbersome even for the evolution of regular waves. For reflection under the regime of wave breaking, the surf similarity is generally accepted as the…

Pattern Formation and Solitons · Physics 2025-08-27 Jie Zhang , Michel Benoit , Saulo Mendes

Control over the interaction of waves with ultrafast time-varying materials - those that change on a time-scale commensurate with the wave period - holds much promise for developing a raft of new technologies. Time-varying materials…

Optics · Physics 2025-08-19 I. R. Hooper , D. B. Phillips , S. A. R. Horsley

Steering waves in elastic solids is more demanding than steering waves in electromagnetism or acoustics. As a result, designing material distributions which are the counterpart of optical invisibility cloaks in elasticity poses a major…

Materials Science · Physics 2019-06-10 Muamer Kadic , Martin Wegener , Andre Nicolet , Frederic Zolla , Sebastien Guenneau , Andre Diatta

In this work we include the elastic scattering of longitudinal electromagnetic waves in transport theory using a medium filled with point-like, electric dipoles. The interference between longitudinal and transverse waves creates two new…

Disordered Systems and Neural Networks · Physics 2021-05-17 B. A. van Tiggelen , S. E. Skipetrov

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

It is commonly accepted that shear waves do not propagate in a liquid medium. The shear wave energy is supposed to dissipate nearly instantaneously. This statement originates from the difficulty to access static shear stress in macroscopic…

Mesoscale and Nanoscale Physics · Physics 2021-07-28 Eni Kume , Alessio Zaccone , Laurence Noirez

We use experiments, numerical simulations, and theoretical analysis to investigate the propagation of highly nonlinear solitary waves in periodic arrangements of dimer (two-mass) and trimer (three-mass) cell structures in one-dimensional…

Pattern Formation and Solitons · Physics 2007-12-21 Mason A. Porter , Chiara Daraio , Ivan Szelengowicz , Eric B. Herbold , P. G. Kevrekidis

In this paper we establish several results on approximate controllability of a semilinear wave equation by making use of a single multiplicative control. These results are then applied to discuss the exact controllability properties for the…

Optimization and Control · Mathematics 2019-01-16 Mohamed Ouzahra

Active control of wrinkling in soft film-substrate composites using electric fields is a critical challenge in tunable material systems. Here, we investigate the electro-mechanical instability of a soft dielectric film bonded to a…

Soft Condensed Matter · Physics 2026-04-14 Bin Wu , Linghao Kong , Weiqiu Chen , Davide Riccobelli , Michel Destrade

The possibility of continuous tuning of the spectral properties of two types of planar metamaterials based on the moire effect by changing their geometric parameters is demonstrated both experimentally and numerically. It is shown that for…

Applied Physics · Physics 2019-06-07 Sergey Yu. Polevoy , Sergey I. Tarapov

In general, space-time wave packets with correlations between transverse spatial fields and temporal frequency spectra can lead to unique spatiotemporal dynamics, thus enabling control of the instantaneous light properties. However,…

We consider the localization of elastic waves in thin elastic structures with spatially varying curvature profiles, using a curved rod and a singly curved shell as concrete examples. Previous studies on related problems have broadly focused…

Soft Condensed Matter · Physics 2024-03-06 Manu Mannattil , Christian D. Santangelo

The propagation of acoustic and elastic waves in time-varying, spatially homogeneous media can exhibit different phenomena when compared to traditional spatially-varying, temporally-homogeneous media. In the present work, the response of a…

Applied Physics · Physics 2023-04-05 Brian L. Kim , Christoper Chong , Setare Hajarolasvadi , Yifan Wang , Chiara Daraio

Coupled wave equations are popular tool for investigating longitudinal dynamical effects in semiconductor lasers, for example, sensitivity to delayed optical feedback. We study a model that consists of a hyperbolic linear system of partial…

Dynamical Systems · Mathematics 2013-08-12 Jan Sieber