We propose a spectral-averaging procedure that enables the computation of bandwidth-integrated local density of states (LDOS) from a single scattering calculation, and exploit it to investigate the minimum extinction achievable from dipolar sources over nonzero bandwidths in structured media. Structure-agnostic extinction bounds are derived, providing analytical insights into scaling laws and fundamental design tradeoffs with implications to bandwidth and material selection. We find that perfect LDOS suppression over a nonzero bandwidth $\mathrm{\Delta }\omega$ is impossible. Inspired by limits which predict nontrivial $\sqrt{\mathrm{\Delta }\omega }$ scaling in systems with material dissipation, we show that the pseudogap edge states of quasi-one-dimensional bullseye gratings can—by simultaneously minimizing material absorption and radiation—yield arbitrarily close to perfect LDOS suppression in the limit of vanishing bandwidth.

中文翻译：

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通过有损准一维光栅中的慢光抑制电磁局域密度

我们提出了一种光谱平均程序，可以通过单次散射计算计算带宽积分局域密度（LDOS），并利用它来研究结构介质中非零带宽上偶极源可实现的最小消光。推导了与结构无关的消光界限，为缩放定律和基本设计权衡提供了分析见解，并对带宽和材料选择产生了影响。我们发现在非零带宽上实现了完美的 LDOS 抑制$\mathrm{\Delta }\omega$是不可能的。受到预测不平凡的极限的启发$\sqrt{\mathrm{\Delta }\omega }$通过在具有材料耗散的系统中进行缩放，我们表明准一维牛眼光栅的赝能隙边缘状态可以通过同时最小化材料吸收和辐射，在消失带宽的限制下任意接近完美的 LDOS 抑制。