AI 中文总结
本研究提出一种降阶方法，通过反转热传递函数将分布式热动力学纳入非线性光学微腔模拟，经TE1模式加热及非线性硅微腔动力学验证，误差低于4%，可保留热记忆并降低模拟成本。
AI 中文摘要
本文提出一种降阶方法，用于将分布式热动力学纳入非线性光学微腔模拟，无需重复求解时变热传导方程。采用谐波有限元热求解器获取热传递函数，通过有理近似或脉冲响应卷积将其引入时域。该方法针对规定的TE1模式加热和非线性硅微腔动力学，与热方程耦合的有限元模拟进行了验证。对于高达100 MHz的前馈TE1测试和简化的微腔动力学，误差保持在4%以下。降阶模型可重现局域自脉动动力学，尽管长时间相位对齐对热传递函数的空间定义和脉冲响应截断敏感。这些结果确立了一种基于物理的途径，可在保留多时间尺度热记忆的同时，大幅降低光-热耦合模拟的成本。
英文摘要
I present a reduced-order approach for incorporating distributed thermal dynamics into nonlinear optical-microcavity simulations without repeatedly solving the time-dependent heat equation. A harmonic finite-element heat solve is used to obtain the thermal transfer function, which is introduced into the time domain through either a rational approximation or an impulse-response convolution. The method is validated against heat-equation-coupled finite-element simulations for prescribed TE1-mode heating and for nonlinear silicon microcavity dynamics. For the feed-forward TE1 tests up to 100 MHz and simplified cavity dynamics, the error remains below 4%. The reduced models reproduce the local self-pulsation dynamics, although long-time phase alignment is sensitive to the spatial definition of the thermal transfer function and to impulse-response truncation. These results establish a physics-based route for retaining multi-timescale thermal memory while substantially reducing the cost of coupled optical--thermal simulations.
