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This article discusses electromagnetic properties of volumetric metamaterial samples with essentially discrete structure, that is, assembled as a periodic array of electromagnetic resonators. We develop an efficient numerical procedure for…

Applied Physics · Physics 2025-09-19 Aleksander O. Makarenko , Maxim A. Yurkin , Alexey A. Shcherbakov , Mikhail Lapine

We establish the well-posedness, the finite speed propagation, and a regularity result for Maxwell's equations in media consisting of dispersive (frequency dependent) metamaterials. Two typical examples for such metamaterials are materials…

Mathematical Physics · Physics 2017-12-20 Hoai-Minh Nguyen , Valentin Vinoles

Manipulating the property of iso-frequency contour (IFC) will provide a powerful control for the interaction between light and matter. Importantly, hyperbolic metamaterials (HMMs), a class of artificial anisotropic materials with hyperbolic…

Optics · Physics 2020-04-14 Zhiwei Guo , Haitao Jiang , Hong Chen

The power loss and electromagnetic energy density of a metamaterial consisting of arrays of wires and split-ring resonators (SRRs) are investigated. We show that a field energy density formula can be derived consistently from both the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Pi-Gang Luan

We develop a theoretical description of radiative thermal conductivity in hyperbolic metamaterials. We demonstrate a dramatic enhancement of the radiative thermal transport due to the super-singularity of the photonic density of states in…

Optics · Physics 2015-06-23 J. Liu , E. Narimanov

We derive an exact expression for the time-averaged electromagnetic energy inside a chiral dispersive sphere irradiated by a plane wave. The dispersion relations correspond to a chiral metamaterial consisting of uncoupled single-resonance…

Optics · Physics 2016-01-20 Tiago J. Arruda , Felipe A. Pinheiro , Alexandre S. Martinez

We investigate the capabilities of hyperbolic metamaterials (HMs) to couple near-fields (i.e., evanescent waves) emitted by a two-dimensional periodic array of electric dipoles to propagating waves. In particular, large order Floquet…

Optics · Physics 2014-05-26 Caner Guclu , Salvatore Campione , Filippo Capolino

We derive an expression for the macroscopic force density that a narrow-band electromagnetic field imposes on a dissipative isotropic medium. The result is obtained by averaging the microscopic form for Lorentz force density. The derived…

Optics · Physics 2015-05-20 Andriy Shevchenko , Matti Kaivola

Hyperbolic metamaterials (HMM) are artificially engineered materials that exhibit hyperbolic dispersion of light propagating through them. These have been extensively studied for tailoring light propagation. Most studies use an effective…

Optics · Physics 2025-05-08 Amitrajit Nag , Girish S. Agarwal , Jaydeep K. Basu

Hyperbolic metamaterials (HMMs) offer unconventional properties in the field of optics, enabling opportunities for confinement and propagation of light at the nanoscale. In-plane orientation of the optical axis, in the direction coinciding…

Materials Science · Physics 2021-03-09 I. Murataj , M. Channab , E. Cara , C. F. Pirri , L. Boarino , A. Angelini , F. Ferrarese Lupi

We analytically study the time-averaged electromagnetic energy stored inside scatterers containing inclusions of arbitrary shapes. Assuming the low density of inclusions, we derive the expression for the energy-transport velocity through…

Optics · Physics 2017-10-02 Tiago J. Arruda , Felipe A. Pinheiro , Alexandre S. Martinez

We investigate the storage and retrieval of electromagnetic waves using a nonlinear metamaterial, analogous to the electromagnetically induced transparency (EIT) observed in atomic systems. We experimentally demonstrate the storage of the…

Applied Physics · Physics 2018-08-21 Toshihiro Nakanishi , Masao Kitano

Hyperbolic metamaterials are strongly anisotropic artificial composite materials at a subwavelength scale and can greatly widen the engineering feasibilities for manipulation of wave propagation. However, limited by the empirical structure…

Classical Physics · Physics 2018-11-09 Hao-Wen Dong , Sheng-Dong Zhao , Yue-Sheng Wang , Chuanzeng Zhang

A promising method to leverage near-field power densities without the use of nanoscale vacuum gaps is through hyperbolic metamaterial (HMM) waveguides. When placed between a hot and cold reservoir, an ideal HMM can transmit surface waves…

Applied Physics · Physics 2020-07-29 Sean McSherry , Andrej Lenert

We combine Maxwell's equations with Eulers's equation, related to a velocity field of an immaterial fluid, where the density of mass is replaced by a charge density. We come out with a differential system able to describe a relevant…

General Physics · Physics 2009-11-26 Daniele Funaro

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

Hyperbolic metamaterials (HMM) are artificially engineered materials that are congenial for light-matter interaction studies and nanophotonic applications with the hyperbolic dispersion of light propagating through them, which offers a…

Optics · Physics 2025-05-13 Amitrajit Nag , Jaydeep K. Basu

We employ both the effective medium approximation (EMA) and Bloch theory to compare the dispersion properties of semiconductor hyperbolic metamaterials (SHMs) at mid-infrared frequencies and metallic hyperbolic metamaterials (MHMs) at…

Optics · Physics 2015-08-05 Salvatore Campione , Sheng Liu , Ting S. Luk , Michael B. Sinclair

Hyperbolic metamaterials were initially proposed in optics to boost radiation efficiencies of quantum emitters. Adopting this concept for antenna design can allow approaching long-standing challenges in radio physics. For example, impedance…

Applied Physics · Physics 2020-08-11 Ildar Yusupov , Dmitry Filonov , Tatyana Vosheva , Viktor Podolsky , Pavel Ginzburg

Hyperbolic (or indefinite) materials have attracted significant attention due to their unique capabilities for engineering electromagnetic space and controlling light propagation. A current challenge is to find a hyperbolic material with…

Materials Science · Physics 2017-04-26 Shan Guan , Shao Ying Huang , Yugui Yao , Shengyuan A. Yang