无带隙光子晶体中光的三维限制
Three-dimensional confinement of light in photonic crystals without bandgaps
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中文总结 AI 辅助
研究在无完整光子带隙的光子晶体中实现光的三维限制，利用对称保护二次简并及引入点缺陷，结合态密度消失与对称失配产生束缚缺陷模式，为三维光子晶体光学腔设计提供新途径。
中文摘要 AI 辅助
我们证明，在没有完整光子带隙的光子晶体中实现光的三维限制是可能的。我们的方法利用了体带结构中对称保护的二次简并，其中光子态密度在孤立频率处消失。通过引入点缺陷，我们创建了一个局域模式，其对称表示与周围体模式不兼容，抑制了与传播通道的耦合。尽管没有光谱间隙，但态密度消失和对称失配的结合产生了束缚缺陷模式，时域和频域数值模拟证实了这一点。这种方法突出了设计缺陷周围光子环境以实现限制的作用，可能为三维光子晶体中的光学腔设计提供新途径。
英文摘要
We demonstrate that confinement of light in three dimensions is possible in photonic crystals without a complete photonic bandgap. Our approach exploits symmetry-protected quadratic degeneracies in the bulk band structure, where the photonic density of states vanishes at an isolated frequency. By introducing a point defect, we create a localized mode whose symmetry representation is incompatible with that of the surrounding bulk modes, suppressing coupling to propagating channels. The combination of vanishing density of states and a symmetry mismatch yields bound defect modes despite the absence of a spectral gap, as confirmed by time- and frequency-domain numerical simulations. This approach highlights the role of engineering the photonic environment around the defect to enable confinement, potentially providing a new route for designing optical cavities in three-dimensional photonic crystals.
