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We present a general approach for the numerical calculation of the effective dielectric tensor of metamaterials and show that our formalism can be used to study metamaterials beyond the long wavelength limit. We consider a system composed…

Optics · Physics 2020-06-04 Lucila Juárez , Bernardo S. Mendoza , W. Luis Mochán

Metamaterials are arrangement of basic building blocks that repeat in space, time, or both. These material systems serve as an excellent platform for controlling waves, such as engineering wavenumber band gaps, flat bands, and…

Applied Physics · Physics 2026-01-13 Mohamed A. Elgamal , Osama R. Bilal

We analyse the dispersion properties of two types of explicit finite element methods for modelling acoustic and elastic wave propagation on tetrahedral meshes, namely mass-lumped finite element methods and symmetric interior penalty…

Numerical Analysis · Mathematics 2019-01-29 S. Geevers , W. A. Mulder , J. J. W. van der Vegt

In this paper, we incorporate the effect of nonlinear damping with the concept of locally resonant metamaterials to enable vibration attenuation beyond the conventional bandgap range. The proposed design combines a linear host cantilever…

A one-dimensional wave propagation through elastically asymmetric media is investigated. A class of metamaterials possessing an arbitrary elastic asymmetry is proposed. This asymmetry results in different wave speeds of tensile and…

Soft Condensed Matter · Physics 2021-01-26 Vladislav A. Yastrebov

Metasurfaces impart phase discontinuities on impinging electromagnetic waves that are typically limited to 0-2$\pi$. Here, we show that they can break free from this limitation and supply arbitrarily-large phase modulation over ultra-wide…

Applied Physics · Physics 2019-02-05 Odysseas Tsilipakos , Thomas Koschny , Costas M. Soukoulis

Inspired by [25], this paper investigates subwavelength bandgaps in phononic crystals consisting of periodically arranged hard elastic materials embedded in a soft elastic background medium. Our contributions are threefold. First, we…

Analysis of PDEs · Mathematics 2025-03-28 Yuanchun Ren , Bochao Chen , Yixian Gao , Peijun Li

In this paper we substantiate the claim implicitly made in previous works that the relaxed micromorphic model is the only linear, isotropic, reversibly elastic, nonlocal generalized continuum model able to describe complete band-gaps on a…

Mathematical Physics · Physics 2016-12-21 Angela Madeo , Patrizio Neff , Marco Valerio d'Agostino , Gabriele Barbagallo

We study bandstructure properties of periodic optical systems composed of lossy and intrinsically dispersive materials. To this end, we develop an analytical framework based on adjoint modes of a lossy periodic electromagnetic system and…

Optics · Physics 2018-03-19 Christian Wolff , Kurt Busch , N. Asger Mortensen

Volumetric optical microscopy using non-diffracting beams enables rapid imaging of 3D volumes by projecting them axially to 2D images but lacks crucial depth information. Addressing this, we introduce MicroDiffusion, a pioneering tool…

Image and Video Processing · Electrical Eng. & Systems 2024-03-19 Mude Hui , Zihao Wei , Hongru Zhu , Fei Xia , Yuyin Zhou

Efficient transmission of elastic waves across interfaces is central to several applications, including medical imaging, seismic isolation, and transducer design. Interfaces with abrupt changes in the material properties significantly…

Optics · Physics 2026-02-25 Jagannadh Boddapati , Jihoon Ahn , Alexander C Ogren , Chiara Daraio

Locally resonant elastic metamaterials (LREM) can be designed, by optimizing the geometry of the constituent self-repeating unit cells, to potentially damp out vibration in selected frequency ranges, thus yielding desired bandgaps. However,…

Computational Engineering, Finance, and Science · Computer Science 2021-07-27 Manaswin Oddiraju , Amir Behjat , Mostafa Nouh , Souma Chowdhury

A multifield asymptotic homogenization technique for periodic thermo-diffusive elastic materials is provided in the present study. Field equations for the first-order equivalent medium are derived and overall constitutive tensors are…

Fluid Dynamics · Physics 2020-02-27 Francesca Fantoni , Andrea Bacigalupo

Diffusion in complex heterogeneous media such as biological tissues or porous materials typically involves constrained displacements in tortuous structures and {\em sticky} environments. Therefore, diffusing particles experience both…

Soft Condensed Matter · Physics 2024-09-16 Giovanni Bettarini , Francesco Piazza

Spectral gaps in the vibrational modes of disordered solids are key design elements in the synthesis and control of phononic metamaterials that exhibit a plethora of novel elastic and mechanical properties. However, reliably producing these…

Soft Condensed Matter · Physics 2021-03-19 Yuanjian Zheng , Shivam Mahajan , Joyjit Chattoraj , Massimo Pica Ciamarra

In this paper we propose some kinds of two-dimensional square zigzag lattice structures and study their bandgaps and directional propagation of elastic waves. The band structures and the transmission spectra of the systems are calculated by…

Materials Science · Physics 2014-11-24 Yan-Feng Wang , Yue-Sheng Wang , Chuanzeng Zhang

A hallmark of integrable systems is the purely elastic scattering of their excitations. Such systems possess an extensive number of locally conserved charges, leading to the conservation of the number of scattered excitations, as well as…

Quantum Physics · Physics 2024-05-01 Amir Burshtein , Moshe Goldstein

This work presents a generalized physical interpretation of unconventional dispersion asymmetries associated moving elastic solids. By shifting the notion from systems with time-variant material fields to physically traveling materials, the…

Applied Physics · Physics 2019-01-15 M. A. Attarzadeh , M. Nouh

Propagation of P and SV waves in an elastic solid containing randomly distributed inclusions in a half-space is investigated. The approach is based on a multiple scattering analysis similar to the one proposed by Fikioris and Waterman for…

Mathematical Physics · Physics 2011-02-07 Jean-Marc Conoir , Andrew N. Norris

The terms "acoustic/elastic meta-materials" describe a class of periodic structures with unit cells exhibiting local resonance. This localized resonant structure has been shown to result in negative effective stiffness and/or mass at…