论文标题

通过优化的金属腔接近状态局部密度的上限

Approaching the upper limits of the local density of states via optimized metallic cavities

论文作者

Yao, Wenjie, Benzaouia, Mohammed, Miller, Owen D., Johnson, Steven G.

论文摘要

通过计算金属底物中空气腔的计算优化,我们表明,状态的局部密度(LDOS)可以达到最近理论上限制的$ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 10 $的10倍以内,而单极化LDOS的一个因子$ \ 4 $内,这表明理论限制几乎可以实现。优化总LDO会导致自发的对称性破坏,而比将其与特定的极化相结合。此外,简单的形状(例如优化的圆柱体)几乎达到了复杂的多参数Optima的性能,这表明只有一个或两个关键参数很重要,以便接近金属谐振器的理论LDOS界限。

By computational optimization of air-void cavities in metallic substrates, we show that the local density of states (LDOS) can reach within a factor of $\approx 10$ of recent theoretical upper limits, and within a factor $\approx 4$ for the single-polarization LDOS, demonstrating that the theoretical limits are nearly attainable. Optimizing the total LDOS results in a spontaneous symmetry breaking where it is preferable to couple to a specific polarization. Moreover, simple shapes such as optimized cylinders attain nearly the performance of complicated many-parameter optima, suggesting that only one or two key parameters matter in order to approach the theoretical LDOS bounds for metallic resonators.

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