In this article, a stochastic finite-difference time-domain (S-FDTD) method is proposed for analyzing the influence of physical size uncertainty on the time-domain response of superconducting transmission lines. The formulations of the proposed method are, in detail, derived with the two-fluid model and London equation. A typical superconducting microstrip line is simulated to verify the effectiveness of the proposed algorithm. Compared with the Monte Carlo simulation, the proposed method has the same accuracy but much higher efficiency. The computation time of the proposed S-FDTD method is only about 3% of that of the Monte Carlo simulation. Therefore, the proposed method shows a promising prospect on predicting the variability in transmission line's performance caused by variation in superconducting manufacturing.

中文翻译：

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一种用于超导传输线不确定性分析的紧凑型二维随机 FDTD 方法

在本文中，提出了一种随机有限差分时域 (S-FDTD) 方法，用于分析物理尺寸不确定性对超导传输线时域响应的影响。所提出方法的公式是详细地由二流体模型和伦敦方程推导出来的。对一条典型的超导微带线进行仿真，验证所提算法的有效性。与蒙特卡罗模拟相比，该方法具有相同的精度但效率更高。所提出的 S-FDTD 方法的计算时间仅为蒙特卡罗模拟的 3% 左右。因此，所提出的方法在预测由超导制造变化引起的传输线性能变化方面具有广阔的前景。