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Although the nanoparticles are assumed to be deeply subwavelength, they are not too small to necessitate taking into account the quantum effects in these phenomena. Therefore, we are still operating in the domain of classical electrodynamics, and permittivity functions are considered
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Although the nanoparticles are assumed to be deeply subwavelength, they are not too small to necessitate taking into account the quantum effects in these phenomena. Therefore, we are still operating in the domain of classical electrodynamics, and permittivity functions are considered.
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3
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Depending on the frequency dispersion of the dielectric function, such an effective nanoinductor may itself be frequency dependent as L eff ∞1/-ω2aRe(ε(ω, where a is length scale related to the size of particle. If we consider a Drude model for ε, ε0 (1, ω p2/ω2) and if we operate at frequency ω sufficiently lower than ωp ,then Leff will be approximately constant. If we are close to, but still lower than, ωp, this nanoparticle can be regarded as a parallel combination of a capacitor and an inductor, with inductive impedance still dominating the effect. I thank S. Tretyakov of Helsinki University of Technology for his comments on this latter issue and the related fruitful discussion
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p, this nanoparticle can be regarded as a parallel combination of a capacitor and an inductor, with inductive impedance still dominating the effect. I thank S. Tretyakov of Helsinki University of Technology for his comments on this latter issue and the related fruitful discussion.
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I thank all the members of my research group, particularly A. Alù and J. Li, for their assistance in preparing parts of Fig. 2, A to C; Fig. 3, A and B; and Fig. 4, B and C, for many fruitful discussions, and for their contributions to various aspects of the metamaterial and plasmonic research in my group. I acknowledge the research support from the U.S. Air Force Office of Scientific Research (AFOSR), grant number FA9550-05-1-0442.
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I thank all the members of my research group, particularly A. Alù and J. Li, for their assistance in preparing parts of Fig. 2, A to C; Fig. 3, A and B; and Fig. 4, B and C, for many fruitful discussions, and for their contributions to various aspects of the metamaterial and plasmonic research in my group. I acknowledge the research support from the U.S. Air Force Office of Scientific Research (AFOSR), grant number FA9550-05-1-0442.
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