Epsilon-Near-Zero微腔中的Purcell效应
Purcell Effect in Epsilon-Near-Zero Microcavities
AI总结：
本文提出全介质Bragg反射微腔作为低损耗ENZ谐振平台，研究其Purcell效应并推导出区分于传统谐振器的标度定律，为增强非线性与量子光子学中的光物质相互作用提供设计见解。
摘要：
Epsilon-near-zero (ENZ) 光子学为集成光子系统提供了一个强大的平台，实现了许多新颖和非凡的功能。然而，基于ENZ的系统的实际实施通常受到高材料损耗和严重阻抗失配的限制，这限制了光与ENZ介质之间的高效相互作用。为了克服这些挑战，我们引入了在其截止频率下运行的全介质Bragg反射微腔作为高品质因数的ENZ谐振平台，为研究ENZ介质中的发射过程提供了一种超低损耗的替代方案。虽然Bragg腔已被广泛认可，但它们作为ENZ谐振微腔的潜力在很大程度上仍未被探索。我们研究了这些结构中的Purcell效应和品质因数，并将其性能与完美电导体和金属对应物进行了比较。通过基于Fermi黄金法则和无色散介质中场量子化的解析推导，我们建立了将这些ENZ腔与传统谐振器区分开来的标度定律。频域仿真验证了我们的发现，表明在全介质ENZ Bragg反射微腔中，Purcell因子和品质因数分别按 $L/λ_0$ 和 $(L/λ_0)^3$ 标度，其中 $L$ 是腔长，$λ_0$ 是谐振波长。我们的结果为基于ENZ的光子系统的设计提供了关键见解，为非线性光学和量子光子学中增强的光与物质相互作用铺平了道路。
英文摘要：
Epsilon-near-zero (ENZ) photonics presents a powerful platform for integrated photonic systems, enabling a range of novel and extraordinary functionalities. However, the practical implementation of ENZ-based systems is often constrained by high material losses and severe impedance mismatch, limiting the efficient interaction of light with ENZ media. To overcome these challenges, we introduce all-dielectric Bragg reflection microcavities operating at their cutoff frequency as a high-figure-of-merit ENZ resonant platform, providing an ultra-low-loss alternative for studying emission processes in ENZ media. While Bragg cavities are well-established, their potential as ENZ resonant microcavities remains largely unexplored. We investigate the Purcell effect and quality factor in these structures, comparing their performance with those of the perfect-electric-conductor and metallic counterparts. Through analytical derivations based on Fermi's golden rule and field quantization in lossless dispersive media, we establish scaling laws that distinguish these ENZ cavities from conventional resonators. Frequency-domain simulations validate our findings, demonstrating that in all-dielectric ENZ Bragg-reflection microcavities, the Purcell and quality factors scale as $L/λ_0$ and $(L/λ_0)^3$, respectively, where $L$ is the cavity length and $λ_0$ is the resonance wavelength. Our results offer key insights into the design of ENZ-based photonic systems, paving the way for enhanced light-matter interactions in nonlinear optics and quantum photonics.
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