Electromagnetic energy in a dispersive metamaterial

Abstract

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.

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

References in corpus (4)

• Determination of Effective Permittivity and Permeability of Metamaterials from Reflection and Transmission Coefficients
• Subwavelength imaging by a left-handed material superlens
• Electromagnetic field energy density in artificial microwave materials with negative parameters
• Non-radiating and radiating configurations driven by left-handed metamaterials

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• Anomalous Momentum States, Non-Specular Reflections, and Negative Refraction of Phase-Locked, Second Harmonic Pulses
• Electromagnetic energy within coated spheres containing dispersive metamaterials
• Nanoscale Plasmonic Slot Waveguides for Enhanced Raman Spectroscopy
• Electromagnetic energy within single-resonance chiral metamaterial spheres
• Radiation enhancement and radiation suppression by a left-handed metamaterial