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It is now well established that the homogenization of a periodic array of parallel dielectric fibers with suitably scaled high permittivity can lead to a (possibly) negative frequency-dependent effective permeability. However this result…

Analysis of PDEs · Mathematics 2017-06-20 Guy Bouchitté , Christophe Bourel , Didier Felbacq

From a mathematical perspective, the extraordinary properties of metamaterials are often reflected in the coefficients of the governing partial differential equations (PDEs). These coefficients may fall outside the assumptions of classical…

Numerical Analysis · Mathematics 2026-05-22 Eric T. Chung , Patrick Ciarlet , Xingguang Jin , Changqing Ye

We propose a type of elastic metamaterial comprising fluid-solid composite inclusions which can possess negative shear modulus and negative mass density over a large frequency region. Such a solid metamaterial has a unique elastic property…

Materials Science · Physics 2011-09-06 Ying Wu , Yun Lai , Zhao-Qing Zhang

Metamaterials hold significant promise for enhancing the imaging capabilities of MRI machines as an additive technology, due to their unique ability to enhance local magnetic fields. However, despite their potential, the metamaterials…

Medical Physics · Physics 2023-11-27 Ke Wu , Xia Zhu , Thomas G. Bifano , Stephan W. Anderson , Xin Zhang

Metamaterials are artificially created media, which allow introducing additional degrees of freedom into electromagnetic design by controlling constitutive material parameters. Reconfigurable time-dependent metamaterials can further enlarge…

We analyze the reflection and transmission coefficients calculated from transfer matrix simulations on finite lenghts of electromagnetic metamaterials, to determine the effective permittivity and permeability. We perform this analysis on…

Classical Physics · Physics 2009-11-07 D. R. Smith , S. Schultz , P. Markos , C. M. Soukoulis

We consider the inverse problem of the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions of the Maxwell's system in 3D with limited boundary observations of the electric field. The theoretical…

Numerical Analysis · Mathematics 2015-12-03 Larisa Beilina , Michel Cristofol , Kati Niinimäki

We present here the design of nano-inclusions made of properly arranged collections of plasmonic metallic nano-particles that may exhibit a resonant magnetic dipole collective response in the visible domain. When such inclusions are…

Materials Science · Physics 2009-11-10 Andrea Alu , Alessandro Salandrino , Nader Engheta

Recently, new artificial material has been proposed to control an electromagnetic wave-metasurface, a two-dimensional metamaterial. Compared with a three-dimensional bulky metamaterial, this artificial plane material with sub-wavelength…

Optics · Physics 2019-07-12 Chong Sheng , Hui Liu , Shining Zhu

We leverage quantum graph theory to quickly and accurately characterise acoustic metamaterials comprising networks of interconnected pipes. Anisotropic bond lengths are incorporated in the model that correspond to space-coiled acoustic…

Applied Physics · Physics 2024-09-12 T. M. Lawrie , T. A. Starkey , G. Tanner , D. B. Moore , P. Savage , G. J. Chaplain

Generative machine learning models have revolutionized material discovery by capturing complex structure-property relationships, yet extending these approaches to the inverse design of three-dimensional metamaterials remains limited by…

Computational Engineering, Finance, and Science · Computer Science 2026-04-27 Li Zheng , Siddhant Kumar , Dennis M. Kochmann

Metamaterial homogenization is often based on implicit assumptions inspired to natural material models. Retrieved effective permittivity and permeability, however, are often non-physical, especially near the array resonances, of most…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Andrea Alu

The optical nonlocality in symmetric metal-dielectric multilayer metamaterials is theoretically and experimentally investigated with respect to transverse-magnetic-polarized incident light. A nonlocal effective medium theory is derived from…

Optics · Physics 2015-06-02 Lei Sun , Zhigang Li , Ting S. Luk , Xiaodong Yang , Jie Gao

The gain-assisted plasmonic analogue of electromagnetically induced transparency (EIT) in a metallic metamaterial is investigated for the purpose to enhance the sensing performance of the EIT-like plasmonic structure. The structure is…

Transfer matrix theory (TMT) is used to study the effective-medium theory (EMT) of one dimensional metamaterials (1D MMs). 1D MMs with equal diagonal elements of periodic transfer matrix are defined as 1D perfect MMs (1D PMMs), which can be…

Optics · Physics 2021-10-26 Dong Wang

We determine rigorously the effective permeability of magnetic metamaterials composed of passive particles exhibiting magnetic resonances. The effective permeability is expressed in terms of circuit parameters characteristic to these…

Materials Science · Physics 2007-05-23 Bogdan-Ioan Popa , Steven A. Cummer

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

Metamaterials are engineered materials composed of specially designed unit cells that exhibit extraordinary properties beyond those of natural materials. Complex engineering tasks often require heterogeneous unit cells to accommodate…

Machine Learning · Computer Science 2025-11-06 Hongrui Chen , Liwei Wang , Levent Burak Kara

In this paper, a coherent boundary value problem to model metamaterials' behavior based on the relaxed micromorphic model is established. This boundary value problem includes well-posed boundary conditions, thus disclosing the possibility…

Applied Physics · Physics 2022-08-10 Gianluca Rizzi , Patrizio Neff , Angela Madeo

We report numerical experiments of optical wave propagation in composites of high refractive index dielectric rods at frequencies where their first electric and magnetic Mie resonances are excited. The arrays of these particles have been…

Optics · Physics 2015-06-03 F. J. Valdivia-Valero , M. Nieto-Vesperinas