Abstract
This paper presents the numerical stability analysis of multiple one-dimensional locally one-dimensional finite-difference time-domain (M1-D LOD-FDTD) method for inhomogeneous coupled transmission lines. The stability analysis is first performed using the von Neumann method based on Fourier amplification matrix for homogeneous coupled transmission lines. The transition matrix for whole computational domain is next analyzed, which takes into consideration inhomogeneous media. While the M1-D LOD-FDTD method for homogeneous coupled transmission lines is stable based on the von Neumann method, the eigenvalues of transition matrix for inhomogeneous coupled transmission lines may indicate instability. Results show that the stability analysis based on von Neumann Fourier modes alone may not be sufficient to prove stability as it generally assumes homogeneous media.
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