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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

An exact expression is derived for the time-averaged electromagnetic energy within a magneto-dielectric coated sphere, which is irradiated by a plane and time-harmonic electromagnetic wave. Both the spherical shell and core are considered…

Optics · Physics 2018-09-18 Tiago J. Arruda , Felipe A. Pinheiro , Alexandre S. Martinez

Recently, a new energy density formula for electromagnetic waves in the metamaterial consisting of arrays of conducting wires and split-ring-resonators (SRR) has been derived [Phys. Rev. E 80, 046601 (2009), arXiv:0909.1043]. According to…

Optics · Physics 2010-01-05 Pi-Gang Luan

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 obtain exact analytic expressions for (i) the electromagnetic energy radial density within and outside a multilayered sphere and (ii) the total electromagnetic energy stored within its core and each of its shells. Explicit expressions…

Optics · Physics 2019-09-20 Ilia L. Rasskazov , Alexander Moroz , P. Scott Carney

By clarifying the approach of Luan (Phys. Rev. E, 2009), we can generalize the analysis of dispersive (meta)materials, and treat other material responses involving not only loss, but also gain and coherent response.

Classical Physics · Physics 2012-06-28 Paul Kinsler

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

General relations for the stored reactive field energy density in passive linear artificial microwave materials are established. These relations account for dispersion and absorption effects in these materials, and they are valid also in…

Materials Science · Physics 2015-06-24 Sergei Tretyakov

We derive the energy density associated with an electromagnetic wave passing through a hyperbolic metamaterial (HMM). Both types of HMMs are studied. By considering a dispersive and absorbing HMM as an effective uniaxial crystal, we find…

Optics · Physics 2022-03-08 Afshin Moradi , Pi-Gang Luan

General relations for electromagnetic field energy outside the transparency domain are proposed. It is shown that charged particle contribution to the energy of electromagnetic perturbations in the general case can be described in terms of…

Statistical Mechanics · Physics 2020-05-27 A. G. Zagorodny , S. A. Trigger , A. I. Momot

We study the nature and location of electromagetic energy for two cases. The energy density for electromagnetic radiation is shown to be $\frac{1}{8\pi}(E^2+B^2)$, with the energy contained in the electromagnet fields. For a static charge…

General Physics · Physics 2025-05-16 Jerrold Franklin

Fractional electromagnetic field theory describes electromagnetic wave propagation through the complex, nonlocal, dissipative, fractal and also recent artificially engineered materials know as fractional metamaterials. In this theory using…

General Physics · Physics 2022-10-11 Hosein Nasrolahpour

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

The equivalent circuit model for artificial magnetic materials based on various arrangements of split rings is generalized by taking into account losses in the substrate or matrix material. It is shown that a modification is needed to the…

Classical Physics · Physics 2015-06-26 Pekka Ikonen , Sergei Tretyakov

This paper deals with the old yet unsolved problem of defining and evaluating the stored electromagnetic energy - a quantity essential for calculating the quality factor, which reflects the intrinsic bandwidth of the considered…

Classical Physics · Physics 2016-07-07 Miloslav Capek , Lukas Jelinek , Guy A. E. Vandenbosch

Using the Finite Difference Time Domain method, we solve Maxwell's equations numerically and compute the distribution of electromagnetic fields and forces inside material media. The media are generally specified by their dielectric…

Optics · Physics 2013-08-19 Masud Mansuripur , Armis R. Zakharian , Ewan M. Wright

The most general expressions of the stored energies for time-harmonic electromagnetic fields are derived from the time-domain Poynting theorem, and are valuable in characterizing the energy storage and transport properties of complex media.…

Classical Physics · Physics 2017-07-19 Wen Geyi

Controlling electromagnetic energy is essential for an efficient and sustainable society. A key requirement is concentrating magnetic energy in a desired volume of space in order to either extract the energy to produce work or store it.…

Superconductivity · Physics 2015-06-17 Jordi Prat-Camps , Carles Navau , Alvaro Sanchez

The problem of calculation of electromagnetic field energy outside the transparency domain is discussed. It is shown that charged particle contribution to the energy of electromagnetic perturbations in the general case can be described in…

Plasma Physics · Physics 2018-04-09 S. A. Trigger , A. G. Zagorodny

The force density on matter and the kinetic energy-momentum tensor of the electromagnetic field in matter are obtained starting from Maxwell equations and Lorentz force at microscopic level and averaging over a small region of space-time.…

Classical Physics · Physics 2014-08-18 Rodrigo Medina , J. Stephany
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