AI 中文总结
研究通过在介电掺杂剂中嵌入孔洞引入拓扑结构产生非零拓扑电荷，建立理论模型描述光子掺杂系统有效磁导率，阐明拓扑电荷依赖传输机制，可灵活控制磁场分布及相关参数，为光子器件提供通用平台。
AI 中文摘要
传统光子掺杂方案主要采用拓扑电荷为零的圆形或矩形介电掺杂剂，有效磁导率只能通过材料选择和几何缩放来调节，设计灵活性有限。本文通过在介电掺杂剂中嵌入内部孔洞引入拓扑结构以产生非零拓扑电荷。基于此建立理论模型描述具有非零拓扑电荷的光子掺杂系统的有效磁导率，并系统阐明拓扑电荷依赖传输的潜在机制。结果表明，通过介电掺杂剂内部孔洞的数量、形状、大小和位置来设计非零拓扑电荷，能够灵活操纵内部磁场分布，从而精确控制有效磁导率以及传输光谱的共振频率和谱线宽度。所提出的将拓扑电荷工程与几何设计相结合的多维光子掺杂策略，极大地丰富了色散工程的可用自由度，并为先进功能光子器件提供了通用平台。
英文摘要
Conventional photonic doping schemes predominantly employ circular or rectangular dielectric dopants with zero topological charge, where the effective permeability can only be tuned through material selection and geometric scaling, resulting in limited design flexibility. In this work, topological structures are introduced into dielectric dopants by embedding internal holes to generate nonzero topological charge. Based on this concept, a theoretical model is established to describe the effective permeability of photonic doping systems with nonzero topological charge, and the underlying mechanisms governing topological-charge-dependent transmission are systematically elucidated. The results demonstrate that engineering nonzero topological charge through the number, shape, size and position of internal holes within dielectric dopants enables flexible manipulation of the internal magnetic field distributions, thereby providing precisely control over the effective permeability, as well as the resonance frequency and spectral linewidth of the transmission spectrum. The proposed multi-dimensional photonic doping strategy, integrating topological-charge engineering with geometric design, substantially enriches the available degrees of freedom for dispersion engineering and provides a versatile platform for advanced functional photonic devices.
