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arXiv 1111.4001physics.optics
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解析法设计薄膜光子超材料Lüneburg透镜

Design of thin-film photonic metamaterial Lüneburg lens using analytical approach

Hanhong Gao, Baile Zhang, Steven G. Johnson, George Barbastathis

摘要:

我们设计了一个全介质Lüneburg透镜作为绝热空变晶格明确占有限的薄膜厚度。我们描述了一个全解析的方法来补偿有限高度的亚波长介质结构中的通带制度。该方法从有效介质理论出发,计算出无限高晶格的有效折射率,然后在有限高平板波导中嵌入相同有效折射率的介质,利用波导色散图计算出新的有效折射率。结果进行了比较与传统的数值处理-直接带图计算,使用修改后的三维晶格的覆盖层和基板包括在细胞的几何形状。我们表明,分析结果与数值结果吻合良好,和薄膜Lüneburg透镜的性能是很大的不同,假设无限高得到的估计。

英文摘要:

We design an all-dielectric Lüneburg lens as an adiabatic space-variant lattice explicitly accounting for finite film thickness. We describe an all-analytical approach to compensate for the finite height of subwavelength dielectric structures in the pass-band regime. This method calculates the effective refractive index of the infinite-height lattice from effective medium theory, then embeds a medium of the same effective index into a slab waveguide of finite height and uses the waveguide dispersion diagram to calculate a new effective index. The results are compared with the conventional numerical treatment - a direct band diagram calculation, using a modified three-dimensional lattice with the superstrate and substrate included in the cell geometry. We show that the analytical results are in good agreement with the numerical ones, and the performance of the thin-film Lüneburg lens is quite different than the estimates obtained assuming infinite height.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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