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21 March 2017 Theory of LC circuit-based metamaterials
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A resonance model, describing an LC circuit interaction with a bipole, is established for the determination of the effective parameters of metamaterials. The dynamic descriptions of both an LC circuit and a bipole are harmonic oscillators. Their interplay will induce a frequency shift, meaning that the most efficient receiving frequency (resonance frequency) of an LC circuit (or split ring) resonator is not the LC intrinsic frequency ( Ω LC = 1 / LC ) or the atomic vibration frequency. The relationship between the susceptibilities ( χ ( 2 ) , χ ( 3 ) ) and the frequencies, including the atomic vibration frequency ( Ω 0 ), the LC intrinsic frequency ( Ω LC ), and the practical emission field frequency ( Ω ), is obtained. Compared with the other second-order harmonics, the extra DC current is much stronger, regardless of whether the system reaches resonance or not. The third-order harmonics are more likely to approach the resonance states compared with the second-order effect. Once the combined frequency is located at the resonance frequency, it is most likely to create a negative χ ( 3 ) , and with the increase of the LC intrinsic frequency, a negative χ
© 2017 Society of Photo-Optical Instrumentation Engineers (SPIE) 1934-2608/2017/$25.00 © 2017 SPIE
Jing Huang "Theory of LC circuit-based metamaterials," Journal of Nanophotonics 11(1), 016016 (21 March 2017).
Received: 31 October 2016; Accepted: 10 February 2017; Published: 21 March 2017

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