The Crank–Nicolson (CN) version of the finite-difference time-domain (FDTD) method is applied to the analysis of multiconductor transmission lines (MTLs). Stability and dispersion issues are investigated for different cases, including single and multiconductor lossless and lossy lines. It is shown that for MTLs, the stability of the CN-FDTD method is conditioned by the structure of coupling matrices. Sufficient conditions for unconditional stability are derived. Four practical problems are analyzed using the CN-FDTD method. Numerical results are compared to measurements and leap-frog method. For the first three cases, using the CN method, the Courant number can be increased by a factor of 50 with good agreement with measurement results.

中文翻译：

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使用 CN-FDTD 方法分析多导体传输线

有限差分时域 (FDTD) 方法的 Crank-Nicolson (CN) 版本应用于多导体传输线 (MTL) 的分析。研究了不同情况下的稳定性和色散问题，包括单导体和多导体无损和有损线路。结果表明，对于 MTL，CN-FDTD 方法的稳定性取决于耦合矩阵的结构。推导出无条件稳定的充分条件。使用CN-FDTD方法分析了四个实际问题。将数值结果与测量和跳跃法进行比较。对于前三种情况，使用 CN 方法，库朗数可以增加 50 倍，与测量结果吻合良好。