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arXiv 2608.23708physics.opticsnlin.PS

正常色散光频梳中的集体拓扑暗孤子、平孤子与类亮孤子

Collective Topological Dark Solitons, Platicons, and Bright-Like Solitons in Normal Dispersion Optical Frequency Combs

Seyed Danial Hashemi, Ankitkumar Maisuriya, Sunil Mittal

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中文总结 AI 辅助

该研究利用二维克尔谐振器晶格的拓扑边缘态,无需辅助机制即可在正常色散 regime 中产生集体暗孤子、平孤子及类亮孤子态,拓展了集成光频梳的应用平台。

中文摘要 AI 辅助

反常色散微谐振器中产生的耗散克尔亮孤子是集成光频梳的基础,这类光频梳已在精密计量、光谱学、相干通信及光频合成等领域得到应用。相比之下,工作在正常色散 regime 的克尔谐振器可支持暗孤子与平孤子,但即便启动光频梳产生,通常也需要避免模式交叉或脉冲泵浦等辅助机制,以满足四波混频的相位匹配条件。本文表明,二维克尔谐振器晶格中的拓扑边缘态天生满足该相位匹配条件,无需任何辅助机制即可在正常色散 regime 中产生光频梳及新型相干耗散结构。生成的光频梳自组织为集体暗孤子,在整个晶格边缘的多个谐振器间表现出大规模时空同步。通过调控泵浦失谐,我们证明拓扑暗孤子可连续演化为拓扑平孤子,同时保持集体同步。值得注意的是,我们发现尽管所有构成谐振器均工作在正常色散 regime,该拓扑晶格仍支持集体类亮孤子态。我们的结果确立了拓扑克尔谐振器阵列是在单一平台中设计从暗孤子到类亮孤子态的广泛相干耗散结构的通用途径,也为在传统单谐振器系统中正常材料色散曾限制光频梳产生的材料平台和波长范围中实现集成光频梳产生提供了途径。

英文摘要

Bright dissipative Kerr solitons generated in anomalous-dispersion microresonators underpin integrated optical frequency combs that have enabled applications including precision metrology, spectroscopy, coherent communications, and optical frequency synthesis. In contrast, Kerr resonators operating in the normal-dispersion regime can support dark solitons and platicons, but even the initiation of frequency comb generation typically requires auxiliary mechanisms, such as avoided mode crossings or pulsed pumping, to satisfy the phase-matching condition for four-wave mixing. Here we show that topological edge states in two-dimensional Kerr resonator lattices intrinsically satisfy this phase-matching condition, enabling the generation of optical frequency combs and novel coherent dissipative structures in the normal-dispersion regime without any auxiliary mechanisms. The resulting frequency combs self-organize into collective dark solitons that exhibit large-scale spatiotemporal synchronization across multiple resonators at the entire lattice edge. By tuning the pump detuning, we demonstrate the continuous evolution of topological dark solitons into topological platicons while preserving collective synchronization. Remarkably, we show that the topological lattice also supports collective bright-like soliton states despite all constituent resonators operating in the normal-dispersion regime. Our results establish topological Kerr resonator arrays as a versatile route for engineering a broad family of coherent dissipative structures, ranging from dark solitons to bright-like soliton states, within a single platform. They also provide a route toward integrated frequency-comb generation in material platforms and wavelength ranges where normal material dispersion has traditionally constrained comb generation in conventional single-resonator systems.

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