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We propose a 3D-printed graded lattice made of hollow elliptical cylinders (HECs) as a new way to design impact mitigation systems. We observe asymmetric dynamics in the graded HEC chains with increasing and decreasing stiffness.…

Applied Physics · Physics 2019-02-20 Hyunryung Kim , Eunho Kim , Jinkyu Yang

Discrete materials composed of masses connected by strongly nonlinear links with anomalous behavior (reduction of elastic modulus with strain) have very interesting wave dynamics. Such links may be composed of materials exhibiting…

Soft Condensed Matter · Physics 2010-08-26 Eric B Herbold , Vitali F Nesterenko

We experimentally and computationally analyze impact-shock-induced stress wave propagation in packings of disordered flexible fibers. We find that dispersive wave propagation, associated with large stress attenuation, occurs much more…

Soft Condensed Matter · Physics 2025-02-04 Peng Wang , Thomas Pähtz , Kun Luo , Yu Guo

We experimentally investigate the impulsive shock propagation caused by an impact into vertically oriented 3D granular packings under gravity. We observe a crossover of wave propagation, from sound excitation at low impact to shock front…

Soft Condensed Matter · Physics 2025-09-18 S. van den Wildenberg , X. Nguyen , A. Tourin , X. Jia

We study a dispersive counterpart of the classical gas dynamics problem of the interaction of a shock wave with a counter-propagating simple rarefaction wave often referred to as the shock wave refraction. The refraction of a…

Pattern Formation and Solitons · Physics 2015-05-28 G. A. El , V. V. Khodorovskii , A. M. Leszczyszyn

Dispersive shock waves (DSWs) are fascinating wave phenomena occurring in media when nonlinearity overwhelms dispersion (or diffraction). Creating DSWs with low generation power and realizing their active controls is desirable but remains a…

According to the features of the sources of pyroshock and ballistic shock, this study considers the pyroshock and ballistic shock generated by their respective impulsive sources as damped harmonic waves with different frequencies. According…

Computational Engineering, Finance, and Science · Computer Science 2019-05-27 Yinzhong Yan , Qingming Li

Dispersive shock waves (DSWs) are expanding nonlinear wave trains that arise when dispersion regularizes a steepening front, a phenomenon observed in fluids, plasmas, optics, and superfluids. Here we report the first experimental…

Accelerator Physics · Physics 2025-10-23 H. McCright , I. G. Abel , I. Haber , P. G. O'Shea , B. L. Beaudoin

In this paper, we study the nonlinear dispersive waves including the rarefaction and dispersive shock waves in the discrete modified KdV equation through the numerical simulations of the dispersive Riemann problems. In particular, we…

Pattern Formation and Solitons · Physics 2026-04-06 Su Yang

In most classical fluids, shock waves are strongly dissipative, their energy being quickly lost through viscous damping. But in systems such as cold plasmas, superfluids, and Bose-Einstein condensates, where viscosity is negligible or…

Optics · Physics 2015-05-13 Wenjie Wan , Shu Jia , Jason W. Fleischer

It is well known that striker impact on strongly nonlinear, non-dissipative or weakly dissipative granular chains assembled from spheres (or cylinders with flat ends and spheres) having similar masses results in strongly nonlinear…

Pattern Formation and Solitons · Physics 2026-03-24 Po-Hsun Chiu , Vitali F. Nesterenko

We study the propagation of in-plane elastic waves in a soft thin strip; a specific geometrical and mechanical hybrid framework which we expect to exhibit Dirac-like cone. We separate the low frequencies guided modes (typically 100 Hz for a…

Soft Condensed Matter · Physics 2020-11-30 Maxime Lanoy , Fabrice Lemoult , Antonin Eddi , Claire Prada

We introduce and systematically investigate the generation of dispersive shock waves, which arise naturally in physical settings such as optical waveguide arrays and superfluids confined within optical lattices. The underlying physically…

Pattern Formation and Solitons · Physics 2026-04-13 Su Yang , Sathyanarayanan Chandramouli , Panayotis G. Kevrekidis

Compressional waves propagating in the partially ionised solar lower atmospheric plasmas can easily steepen into nonlinear waves, including shocks. Here we investigate the effect of weak dispersion generated by Hall currents perpendicular…

Solar and Stellar Astrophysics · Physics 2019-02-13 I. Ballai , E. Forgacs-Dajka , A. Marcu

Reaction-diffusion equations (RDEs) are often derived as continuum limits of lattice-based discrete models. Recently, a discrete model which allows the rates of movement, proliferation and death to depend upon whether the agents are…

Dynamical Systems · Mathematics 2021-05-19 Yifei Li , Peter van Heijster , Matthew J. Simpson , Martin Wechselberger

We study the propagation properties of slow magneto-acoustic waves in a multi-thermal coronal loop using a 3D MHD model, for the first time. A bundle of 33 vertical cylinders, each of 100{\,}km radius, randomly distributed over a circular…

Solar and Stellar Astrophysics · Physics 2024-06-06 S. Krishna Prasad , T. Van Doorsselaere

In this work, we investigate non-classical wavetrain formations, and particularly dispersive shock waves (DSWs), or undular bores, in systems exhibiting non-convex dispersion. Our prototypical model, which arises in shallow water wave…

Pattern Formation and Solitons · Physics 2025-03-06 Saleh Baqer , Theodoros P. Horikis , Dimitrios J. Frantzeskakis

We study the Bloch oscillation of elastic waves in a chain composed of hollow elliptical cylinders (HECs). These HECs are 3D-printed in different wall thicknesses and are arranged to form a graded chain. We find that the frequency band…

Applied Physics · Physics 2019-03-27 Hyunryung Kim , Xiaotian Shi , Eunho Kim , Jinkyu Yang

A dispersive delay structure (DDS) is a device that creates a specified group delay function over frequency bandwidth. In this paper, the idea of trapping the electromagnetic waves in a feedback loop is proposed to achieve higher group…

Signal Processing · Electrical Eng. & Systems 2021-07-02 Hossein Nazemi-Rafi , Masoud Movahhedi

Closed Ring accelerating Structure (CRS) externally has a set of very attractive properties, both in RF parameters and in technological aspects. The structure was proposed for application in compact linear accelerators of electrons.…

Accelerator Physics · Physics 2017-06-23 Valentin Paramonov
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