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Hyperbolic metamaterials (HMMs) are highly anisotropic optical materials that behave as metals or as dielectrics depending on the direction of propagation of light. They are becoming essential for a plethora of applications, ranging from…

The asymmetric transformation elasticity offers a promising method to control elastic waves. However, this method requires elastic materials that support asymmetric stresses, which is not objective within the Cauchy elasticity framework.…

Applied Physics · Physics 2025-11-18 Dingxin Sun , Yi Chen , Xiaoning Liu , Gengkai Hu

Decades after being replaced with digital platforms, analogue computing has experienced a surging interest following developments in metamaterials and intricate fabrication techniques. Specifically, wave-based analogue computers which…

Applied Physics · Physics 2024-12-24 Mohamed Mousa , Mostafa Nouh

Metasurfaces, the two-dimensional counterpart of metamaterials, have caught great attention thanks to their powerful control over electromagnetic waves. Recent times have seen the emergence of a variety of metasurfaces exhibiting not only…

In this paper various extensions of the design strategy of transformation media are proposed. We show that it is possible to assign different transformed spaces to the field strength tensor (electric field and magnetic induction) and to the…

Optics · Physics 2009-03-04 L. Bergamin

Mechanical metamaterials utilize geometry to achieve exceptional mechanical properties, including those not typically possible for traditional materials. To achieve these properties, it is necessary to identify the proper structures and…

Applied Physics · Physics 2024-10-11 Jiakun Liu , Adam Taylor , Sage Fulco , Sumukh S. Pande , Kevin T. Turner

We experimentally constructed a three-dimensional flute-model "molecular" structure acoustic metamaterial(AM)from a periodic array of perforated hollow steel tubes (PHSTs) and investigated its transmission and reflection behaviors in…

Classical Physics · Physics 2015-06-11 H. C. Zeng , C. R. Luo , H. J. Chen , S. L. Zhai , X. P. Zhao

The classification of materials into insulators and conductors has been shaken up by the discovery of topological insulators that conduct robustly at the edge but not in the bulk. In mechanics, designating a material as insulating or…

Soft Condensed Matter · Physics 2016-11-15 Anne S. Meeussen , Jayson Paulose , Vincenzo Vitelli

Acoustic metamaterials enhance traditional material properties through microstructure engineering, providing new opportunities to shape sound fields in applications ranging from biomedical imaging, clinical therapy to non-destructive…

Nowadays, most structural integrity concepts rely on simplified isotropic ma-terial data that are used within continuum mechanics modeling approaches. In contrast, modern casting and forming processes yield complex microstruc-tures coming…

Materials Science · Physics 2019-10-01 Ulrich Krupp , Christian Haase , Wenwen Song , Wolfgang Bleck , Katrin Jahns

Although recent developments in 3D printing technology have made it possible to fabricate metamaterials with characteristic mechanical properties, it is not easy to fabricate complex shapes containing cavities. In this study, a composite…

Applied Physics · Physics 2023-02-27 Daichi Akamatsu , Yuki Noguchi , Kei Matsushima , Yuji Sato , Jun Yanagimoto , Takayuki Yamada

Auxetics refers to structures or materials with a negative Poisson's ratio, thereby capable of exhibiting counter-intuitive behaviors. Herein, auxetic structures are exploited to design mechanically tunable metamaterials in both planar and…

Medical Physics · Physics 2021-07-30 Ke Wu , Xiaoguang Zhao , Stephan W. Anderson , Xin Zhang

All-dielectric metamaterials consisting of high-dielectric inclusions in a low-dielectric matrix are considered as a low-loss alternative to resonant metal-based metamaterials. In this contribution we investigate the applicability of the…

Optics · Physics 2015-05-01 S. M. Kuznetsova , A. Andryieuski , A. V. Lavrinenko

Discrete models provide concise descriptions of complex physical phenomena, such as negative refraction, topological insulators, and Anderson localization. While there are multiple tools to obtain discrete models that demonstrate particular…

Materials Science · Physics 2018-07-03 Kathryn H. Matlack , Marc Serra-Garcia , Antonio Palermo , Sebastian D. Huber , Chiara Daraio

It is commonly assumed that the long-wavelength limit of a metamaterial can always be described in terms of effective permeability and permittivity tensors. This assumption holds true in all metamaterials considered up to now. Here we…

Optics · Physics 2007-05-23 Jonghwa Shin , Jung-Tsung Shen , Shanhui Fan

We propose a novel concept of left-handed metamaterial assembly by semiconductor based low-dimensional quantum structures. We theoretically demonstrate the left-handed material, combined from low-dimensional semiconductor quantum wells or…

Materials Science · Physics 2014-05-21 Pavel Ginzburg , Meir Orenstein

Combinatorial mechanical metamaterials are made of anisotropic, flexible blocks, such that multiple metamaterials may be constructed using a single block type, and the system's response strongly depends on the mutual orientations of the…

Soft Condensed Matter · Physics 2025-07-02 Chaviva Sirote-Katz , Ofri Palti , Naomi Spiro , Tamás Kálmán , Yair Shokef

"What cannot be measured cannot be improved" while likely never uttered by Lord Kelvin, summarizes effectively the driving force behind this work. This paper presents a detailed discussion of automated metrics for evaluating structured 3D…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Jack Langerman , Denys Rozumnyi , Yuzhong Huang , Dmytro Mishkin

There is a growing mechanics literature concerning the macroscopic properties of mechanism-based mechanical metamaterials. This amounts mathematically to a homogenization problem involving nonlinear elasticity. A key goal is to identify the…

Analysis of PDEs · Mathematics 2025-11-10 Xuenan Li , Robert V. Kohn

We investigate the ab-initio homogenization of separable metamaterials with factorized dielectric permittivity profile which can be achieved through suitable grey-scale permittivity design techniques. Separability allows such metamaterials…

Optics · Physics 2016-11-23 Alessandro Ciattoni , Domenico Rago , Carlo Rizza