在\(χ^{(2)}+χ^{(3)}\)微谐振器中通过参量下转换实现的多孤子态

中文摘要 AI 辅助

具有混合\(\chi^{(2)}\)和\(\chi^{(3)}\)非线性的微谐振器中的半谐波产生，提供了丰富的双色孤子态和频率梳。我们通过数值模拟证明，在相对适度的泵浦功率和相位失配参数下，亮孤子和拓扑双色孤子均可形成。在更高功率和更大相位失配下，我们确定了一种参量下转换辅助在正常色散泵浦场中形成暗孤子的状态。模拟使用了代表铌酸锂微谐振器的参数，泵浦波长接近775nm，产生的半谐波接近1550nm。这些结果揭示了\(\chi^{(2)}\)和\(\chi^{(3)}\)非线性的相互作用如何在单个集成频率梳平台上大幅扩展实验可获得的孤子态的范围和类型。

英文摘要

Half-harmonic generation in microresonators with mixed $χ^{(2)}$ and $χ^{(3)}$ nonlinearities provides access to a rich landscape of two-colour soliton states and frequency combs. We numerically demonstrate the formation of both bright and topological two-colour solitons at relatively modest pump powers and phase-mismatch parameters. At higher powers and larger phase mismatches, we identify a regime where parametric down-conversion assists the formation of dark solitons in the normally dispersive pump field. While the dark-soliton core is primarily shaped by the Kerr nonlinearity, nonlinear coupling between the pump and its half-harmonic modes enables soliton excitation using a standard laser-frequency scanning technique, a capability not normally associated with dark solitons. The simulations are performed using parameters representative of lithium-niobate microresonators pumped near 775 nm and generating a half-harmonic near 1550 nm. These results reveal how the interplay of $χ^{(2)}$ and $χ^{(3)}$ nonlinearities can substantially expand the range and types of experimentally accessible soliton states in a single integrated frequency-comb platform.

发表机构

• University of Bath（巴斯大学）
• Centre for Photonics, University of Bath（巴斯大学光子学中心）
• VTT Technical Research Centre of Finland（芬兰技术研究中心）
• National Physical Laboratory（英国国家物理实验室）

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