2005
DOI: 10.1063/1.2011789
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Phonon-like dispersion curves of magnetoinductive waves

Abstract: The dispersion characteristics of magnetoinductive (MI) waves for a one-dimensional array of metamaterial elements are investigated for the case where the element properties vary in a bi-periodic manner. It is shown that, by this means (analogously to acoustic waves in a solid), a variety of dispersion curves can be obtained including those displaying an “optical” branch. The flexibility of the metamaterial design makes it possible to apply this approach for obtaining specified dispersion properties. A design … Show more

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Cited by 67 publications
(36 citation statements)
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References 15 publications
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“…In the tight-binding approximation, this leads to a cosine-shaped energy band, replacing the degenerate discrete energy levels. The inductive coupling between SRR can also give rise to a novel type of waves called magnetoinductive waves [474][475][476], which have been observed experimentally at 60 MHz frequency [477] and at optical frequencies [478]. A third contribution to the width of the magnetic resonance is radiation damping arising from oscillating electric dipoles.…”
Section: Magnetic Metamaterialsmentioning
confidence: 99%
“…In the tight-binding approximation, this leads to a cosine-shaped energy band, replacing the degenerate discrete energy levels. The inductive coupling between SRR can also give rise to a novel type of waves called magnetoinductive waves [474][475][476], which have been observed experimentally at 60 MHz frequency [477] and at optical frequencies [478]. A third contribution to the width of the magnetic resonance is radiation damping arising from oscillating electric dipoles.…”
Section: Magnetic Metamaterialsmentioning
confidence: 99%
“…Sometimes, especially when the elements are very close, this coupling effect is not negligible and will have a substantial effect on the metamaterial's properties. In recent years, the coupling effect in such materials has aroused more attention from researchers undertaking studies on topics such as pairs of split-ring resonators [16][17][18], pairs of nano-rods [19][20], magnetic wave along meta-elements [21][22][23][24], and other interesting coupled metamaterials [25]. The possible related applications have also been reported by several groups.…”
mentioning
confidence: 99%
“…A kind of polariton mode could be formed by the interaction between the electromagnetic and MI waves, resulting in a tenability of the range where μ becomes negative [57]. In a biperiodic chain of magnetic resonators, the dispersion of the MI wave will be split into two branches analogous to acoustic waves in solids, and this can be used to obtain specified dispersion properties [59,60]. In addition to this kind of MI wave, electro-inductive (EI) waves were also reported in the microwave range [61].…”
Section: Coherent Collective Waves In One-dimensional Meta-chainsmentioning
confidence: 99%