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Suppressing electromagnetic local density of states via slow light in lossy quasi-1d gratings

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Version 2 2024-03-06, 17:00
Version 1 2023-09-29, 16:00
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posted on 2024-03-06, 17:00 authored by Benjamin Strekha, Pengning Chao, Rodrick Kuate Defo, Sean Molesky, Alejandro W. Rodriguez
We propose a spectral-averaging procedure that enables 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 finite 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 finite bandwidth $\Delta\omega$ is impossible. Inspired by limits which predict nontrivial $\sqrt{\Delta\omega}$ scaling in systems with material dissipation, we show that pseudogap edge states of quasi-1d bullseye gratings can -- by simultaneously minimizing material absorption and radiation -- yield arbitrarily close to perfect LDOS suppression in the limit of vanishing bandwidth.

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