Electromagnetic energy in a dispersive metamaterial

Details Electromagnetic energy in a dispersive metamaterial Electromagnetic energy in a dispersive metamaterial

2006-03-23

arxiv.org/abs/physics/0603199v1

Phys. Rev. B 73, 165110 (2006)

Physics

Classical Physics

20 pages, 5 figures. Accepted for publication in Physical Review B

Scientific paper

10.1103/PhysRevB.73.165110

An expression for the electromagnetic field energy density in a dispersive, lossy, left-handed metamaterial, consisting of an array of split-ring resonators and an array of wires is derived. An electromagnetic field with general time-dependence is considered. The outcome is compared with previously published results. In the absence of losses, agreement with the general result for the energy density in a dispersive material is obtained. The formulae are verified using the finite-difference time-domain (FDTD) numerical method. The applicability of two commonly used permeability models to the problem of calculating the energy stored in an array of split-ring resonators is discussed.

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