含色散特异材料三明治结构的量子悬浮效应

曾然; 郭军; 李齐良; 毕美华; 杨国伟; 羊亚平

doi:doi:10.3788/gzxb20174607.0727001

光子学报, 2017, 46 (7): 0727001, 网络出版: 2017-08-09

含色散特异材料三明治结构的量子悬浮效应

Quantum Levitation Effect in Sandwich Structure Containing Dispersive Metamaterial Slab

论文大纲

曾然 ^1,2,*郭军 ¹李齐良 ¹毕美华 ¹杨国伟 ¹羊亚平 ²

作者单位

¹ 杭州电子科技大学通信工程学院, 杭州 310018

² 同济大学物理科学与工程学院先进微结构材料教育部重点实验室, 上海 200092

摘要

在金属板与电介质材料板基底间插入色散特异材料板形成三明治结构, 并对其Casimir作用力进行了研究. 基于Casimir-Lifshitz理论, 通过麦克斯韦应力张量计算了真空涨落的辐射压, 并对三明治结构利用电磁模式传输矩阵方法进行了数值计算分析. 计算结果表明, 原本两板结构中存在的Casimir吸引力, 在插入特异材料板后的三明治结构中将转变为斥力, 从而使轻薄的金属板产生量子悬浮效应。讨论了特异材料板的色散电磁响应特性以及电介质板基底的影响, 结果表明特异材料磁等离子频率越大、磁共振频率越小以及电介质板基底的介电常数越小时, 三明治结构中获得的斥力越大. 此外, 板间距增加到一定范围时, 三明治结构中将出现Casimir平衡回复力.特异材料填充因子越小、三明治结构中层距和层厚越大时, 三明治结构间的回复力会出现在较长距的位置. 三明治结构中的量子悬浮效应与平衡回复力可保证微纳米机械系统稳定性, 展现出基于真空辐射压的应用前景.

Abstract

The Casimir interaction of a sandwich structure was investigated, where the structure was formed by means of inserting a dispersive metamaterial slab between the metal slab and the dielectric substrate. Based on Casimir-Liftshitz theory, the radiation pressure of the vacuum fluctuation was calculated by the Maxwell tensor method, and the situation for the sandwich structure was numerically calculated and analyzed by the method of transfer matrix of the electromagnetic mode. The calculation results show that the Casimir force for two-slab structure may turn into repulsion for the sandwich structure by means of inserting a metamaterial slab to the previous bi-layer structure, therefore the thin metal slab can be levitated by the repulsive Casimir force. The influences of the metamaterial dispersive electromagnetic response properties and the dielectric substrate were discussed. It is seen that when the larger magnetic plasma frequency of the metamaterial, the smaller magnetic resonance frequency and the smaller dielectric constant of the dielectric substrate are taken, the greater repulsion force can be obtained in the sandwich structure. In addition, it is found that when the slab distance is increased to a certain extent, the restoring Casimir force can be obtained in the sandwich structure. For the formation of restoring force, it shows that when the smaller filling factor of the metamaterial, the larger layer separation and larger layer thickness are adopted, the restoring force in the sandwich structure will appear at farther slab separation position. The quantum levitation and the restoring force may guarantee the stability of the micro- and nano-electromechanical system devices, and show the new application prospect based on the radiation pressure of vacuum fluctuation.

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曾然, 郭军, 李齐良, 毕美华, 杨国伟, 羊亚平. 含色散特异材料三明治结构的量子悬浮效应[J]. 光子学报, 2017, 46(7): 0727001. ZENG Ran, GUO Jun, LI Qi-liang, BI Mei-hua, YANG Guo-wei, YANG Ya-ping. Quantum Levitation Effect in Sandwich Structure Containing Dispersive Metamaterial Slab[J]. ACTA PHOTONICA SINICA, 2017, 46(7): 0727001.

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