AI 中文总结
研究高维薛定谔型弗洛凯晶格中鬼波动量带隙，利用鬼波复波矢及复频率激发调整其分支和谱，实现宽频放大与无反射脉冲放大，建立高维框架，为非布洛赫波工程提供新机遇。
AI 中文摘要
动量带隙以复频率和非共振放大效应为特征，为超越传统能带理论的波操纵提供了有力途径。本文通过利用鬼波固有的复波矢，引入了一种在高维薛定谔型弗洛凯晶格中进行动量隙工程的独特机制，复频率激发为连续调整鬼波分支和相关弗洛凯谱提供了额外自由度。此外，高维弗洛凯能带结构支持沿传播方向跨越整个布里渊区的动量带隙，并能在任意弱调制下实现宽频放大。当晶格沿鬼波衰减方向截断时，所得弗洛凯波导呈现宽带无反射脉冲放大。研究结果建立了鬼波动量隙物理的高维框架，并揭示了时变光子系统中非布洛赫波工程的新机遇。
英文摘要
Momentum bandgaps, characterized by complex frequencies and non-resonant amplification effects, provide a powerful route for wave manipulation beyond conventional band theory. Here, we introduce a distinct mechanism for momentum-gap engineering in higher-dimensional Schrödinger-type Floquet lattices by exploiting the intrinsically complex wave vectors of ghost waves, with complex-frequency excitation providing an additional degree of freedom for continuously tailoring the ghost-wave branch and the associated Floquet spectrum. Furthermore, we show that the higher-dimensional Floquet band structure supports momentum bandgaps extending across the entire Brillouin zone along the propagation direction and enables amplification over a broad frequency range under arbitrarily weak modulation. When the lattice is truncated along the ghost-wave decay direction, the resulting Floquet waveguide exhibits broadband reflectionless pulse amplification. Our results establish a higher-dimensional framework for ghost-wave momentum-gap physics and reveal new opportunities for non-Bloch wave engineering in time-varying photonic systems.
Comments28 pages, 3 figures
