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This paper presents an analytic model of one dimensional magnetostriction. We show how specific assumptions regarding the symmetry of key micromagnetic energies (magnetocrystalline, magnetoelastic, and Zeeman) reduce a general…

Applied Physics · Physics 2021-09-16 A. N. Imhof , J. P. Domann

High-frequency homogenization is used to study dispersive media, containing inclusions placed periodically, for which the properties of the material depend on the frequency (Lorentz or Drude model with damping, for example). Effective…

Classical Physics · Physics 2023-08-21 Marie Touboul , Benjamin Vial , Raphaël Assier , Sébastien Guenneau , Richard Craster

Effective-medium theories for electromagnetic constitutive parameters of particulate composite materials are theories of averages. Standard deviations are absent because of the lack of rigorous theories. But ensemble averages and standard…

Optics · Physics 2015-06-02 Craig F. Bohren , Xuerong Xiao , Akhlesh Lakhtakia

The homogenization of a composite material comprising three isotropic dielectric materials was investigated. The component materials were randomly distributed as spherical particles, with the particles of two of the component materials…

Optics · Physics 2016-06-29 Tom G. Mackay , Akhlesh Lakhtakia

Within the paradigm of metamaterials and metasurfaces, electromagnetic properties of composite materials can be engineered by shaping or modulating their constituents, so-called meta-atoms. Synthesis and analysis of complex-shape meta-atoms…

Optics · Physics 2019-09-04 Viktar Asadchy , Sergei Tretyakov

Interest in first-principles calculations within the multiferroic community has been rapidly on the rise over the last decade. Initially considered as a powerful support to explain experimentally observed behaviours, the trend has evolved…

Materials Science · Physics 2015-06-23 Julien Varignon , Nicholas C. Bristowe , Eric Bousquet , Philippe Ghosez

In the present paper, the material parameters of the isotropic relaxed micromorphic model derived for a specific metamaterial in a previous contribution are used to model its transmission properties. Specifically, the reflection and…

We state and compare four different definitions of magnetic permeability for periodic, artificial media, or metamaterials. The connection between them, and properties in general, are discussed in detail, including causality, passivity,…

Classical Physics · Physics 2019-02-11 Johannes Skaar , Hans Olaf Hågenvik , Christopher A. Dirdal

A micromorphic computational homogenization framework has recently been developed to deal with materials showing long-range correlated interactions, i.e. displaying patterning modes. Typical examples of such materials are elastomeric…

Soft Condensed Matter · Physics 2024-06-21 S. Maraghechi , O. Rokoš , R. H. J. Peerlings , M. G. D. Geers , J. P. M. Hoefnagels

The homogenization of a metamaterial made of a collection of scatterers periodically disposed is studied from three different points of view. Specifically tools for multiple scattering theory, functional analysis, differential geometry and…

Mesoscale and Nanoscale Physics · Physics 2012-11-09 Didier Felbacq

Using electromagnetism to study analogue space-times is tantamount to considering consistency conditions for when a given (meta-)material would provide an analogue space-time model or --- vice versa --- characterizing which given metric…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Sebastian Schuster , Matt Visser

We study dispersion properties of layered metal-dielectric media having different layers thicknesses ratios. Plotting dispersion diagrams and isofrequency contours, we find that strong nonlocality is inherent property of such periodic…

Optics · Physics 2012-10-11 Alexey A. Orlov , Ivan V. Iorsh , Pavel A. Belov , Yuri S. Kivshar

Peridynamics provides a versatile tool for fracture modelling in materials where fracture pathways cannot be predicted beforehand, but must be envisaged as an emergent features of the deformation process. One class of materials where this…

Materials Science · Physics 2025-12-18 Shucheta Shegufta , Michael Zaiser

A first-principles method, based on density functional perturbation theory, is presented for computing the leading order tunability of high-dielectric-constant materials.

Materials Science · Physics 2007-05-23 K. M. Rabe

Metamaterials are known to exhibit a variety of electromagnetic properties non-existing in nature. We show that an all-dielectric (non-magnetic) system consisting of deep subwavelength, high permittivity resonant spheres possess effective…

We review a recent proposal of a first principles approach to the electronic structure of materials with strong electronic correlations. The scheme combines the GW method with dynamical mean field theory, which enables one to treat strong…

Strongly Correlated Electrons · Physics 2007-05-23 Silke Biermann , Ferdi Aryasetiawan , Antoine Georges

A central aim in metamaterial research is to engineer sub-wavelength unit cells that give rise to desired effective-medium properties and parameters, such as a negative refractive index. Ideally one can disregard the details of the unit…

Mesoscale and Nanoscale Physics · Physics 2013-04-10 Ehsan Amooghorban , N. Asger Mortensen , Martijn Wubs

We propose a dynamical mean field approach for calculating the electronic structure of strongly correlated materials from first principles. The scheme combines the GW method with dynamical mean field theory, which enables one to treat…

Strongly Correlated Electrons · Physics 2009-11-07 S. Biermann , F. Aryasetiawan , A. Georges

We use a homogenization procedure for Maxwell's equations in order to obtain in the local limit the frequency ($\omega$) dependent macroscopic dielectric response $\epsilon^M(\omega)$ of metamaterials made of natural constituents with any…

The design of band-gap metamaterials, i.e., metamaterials with the capability to inhibit wave propagation of a specific frequency range, has numerous potential engineering applications, such as acoustic filters and vibration isolation…

Applied Physics · Physics 2024-07-17 Milan Jirásek , Martin Horák , Michal Šmejkal
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