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We present an effective-medium model for calculating the frequency-dependent effective permittivity $\epsilon(\omega)$ and permeability $\mu(\omega)$ of metamaterial composites containing spherical particles with arbitrary permittivity and…

Optics · Physics 2014-05-01 Brian A. Slovick , Zhi Gang Yu , Srini Krishnamurthy

We extend effective medium theory (EMT) to time-modulated, frequency-dispersive acoustic metamaterials with multiple resonances. While previous studies focused on non-dispersive or single-resonance systems, advances in programmable…

Applied Physics · Physics 2025-05-12 Xinghong Zhu , Hong-Wei Wu , Jensen Li

The effective permittivity of composites containing ferromagnetic microwires has been analysed within a one-particle approximation, by considering a wire piece as an independent scatterer and solving the scattering problem with the…

Materials Science · Physics 2009-11-07 D. P. Makhnovskiy , L. V. Panina

In this paper, we present an approximate expression for determining the effective permittivity describing the coherent propagation of an electromagnetic wave in random media. Under the Quasicrystalline Coherent Potential Approximation…

Optics · Physics 2007-05-23 A. Soubret , G. Berginc

Scattering of electromagnetic (EM) waves by many small particles, embedded in a given medium, is studied. Physical properties of the particles are described by their boundary impedances. The limiting equation is obtained for the effective…

Optics · Physics 2011-01-25 A. G. Ramm

An effective medium theory for resonant and non-resonant metamaterials for flexural waves in thin plates is presented. The theory provides closed-form expressions for the effective parameters of arrangement of inclusions or resonators in…

Materials Science · Physics 2014-10-08 Daniel Torrent , Yan Pennec , Bahram Djafari-Rouhani

Scattering of electromagnetic (EM) waves by many small particles (bodies) embedded in a homogeneous medium is studied. Physical properties of the particles are described by their boundary impedances. The limiting equation is obtained for…

Mathematical Physics · Physics 2011-01-18 A. G. Ramm

The problem of definition of effective material parameters (permittivity and permeability) for composite layers containing only one-two parallel arrays of complex-shaped inclusions is discussed. Such structures are of high importance for…

Classical Physics · Physics 2009-11-13 Elena Saenz , Pekka Ikonen , Ramon Gonzalo , Sergei Tretyakov

Practical design parameters of resonant metamaterials, such as loss tangent, are derived in terms of the quality factor $Q$ of the resonant effective medium permeability or permittivity. Through electromagnetic simulations of loop-based…

Optics · Physics 2015-06-26 Steven A. Cummer , Bogdan-Ioan Popa , Thomas H. Hand

We formulate an effective medium (mean field) theory of a material consisting of randomly distributed nodes connected by straight slender rods, hinged at the nodes. Defining novel wavelength-dependent effective elastic moduli, we calculate…

Soft Condensed Matter · Physics 2015-06-05 J. I. Katz , J. J. Hoffman , M. S. Conradi , J. G. Miller

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

In the work, a modified effective medium theory is constructed for calculating the effective properties of thermoelectric composites with different values of percolation thresholds. It is shown that even at concentrations beyond the…

Materials Science · Physics 2020-06-23 Snarskii Andrei , Yuskevich Pavel

We study the extinction efficiencies as well as scattering properties of particles of different porosity. Calculations are performed for porous pseudospheres with small size (Rayleigh) inclusions using the discrete dipole approximation.…

Astrophysics · Physics 2009-11-13 N. V. Voshchinnikov , G. Videen , Th. Henning

Metamaterial effective parameters may exhibit freedom from typical dispersion constraints. For instance, the emergence of a magnetic response in arrays of split-ring resonators for long wavelengths cannot be attained in a passive continuous…

Optics · Physics 2015-04-13 Christopher A. Dirdal , Tarjei Bondevik , Johannes Skaar

Experimentally it is known that the bulk modulus, K, and shear modulus, \mu, of a granular assembly of elastic spheres increase with pressure, p, faster than the p^1/3 law predicted by effective medium theory (EMT) based on Hertz-Mindlin…

Soft Condensed Matter · Physics 2009-10-31 Hernan A. Makse , Nicolas Gland , David L. Johnson , Lawrence M. Schwartz

Effective Field Theory (EFT) extensions of the Standard Model are tools to compute observables $\big(e.g.$ cross sections with partonic center-of-mass energy $\sqrt{\hat{s}}\,\big)$ as a systematically improvable expansion suppressed by a…

High Energy Physics - Phenomenology · Physics 2022-06-07 Timothy Cohen , Joel Doss , Xiaochuan Lu

We derive exact strong-contrast expansions for the effective dielectric tensor $\epeff$ of electromagnetic waves propagating in a two-phase composite random medium with isotropic components explicitly in terms of certain integrals over the…

Materials Science · Physics 2009-11-13 Mikael C. Rechtsman , Salvatore Torquato

Phonons in solid materials can be understood as the Goldstone bosons of the spontaneously broken spacetime symmetries. As such their low energy dynamics are greatly constrained and can be captured by standard effective field theory (EFT)…

High Energy Physics - Theory · Physics 2020-06-11 Lasma Alberte , Matteo Baggioli , Victor Cancer Castillo , Oriol Pujolas

The direct writing using a focused electron beam allows for fabricating truly three-dimensional structures of sub-wavelength dimensions in the visible spectral regime. The resulting sophisticated geometries are perfectly suited for studying…

The behavior of interacting electrons in a perfect crystal under macroscopic external electric and magnetic fields is studied. Effective Maxwell equations for the macroscopic electric and magnetic fields are derived starting from…

Mathematical Physics · Physics 2010-10-26 Weinan E , Jianfeng Lu , Xu Yang
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