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Subgriding is much desirable for FDTD modeling of small structures in large structures. However, it has remained to be very challenging for its instability. In this paper, we propose a simple subgridding scheme that takes advantage of the explicit unconditionally stable finite-difference time-domain (FDTD) method free of unstable modes: it is applied to the coarse mesh regions with larger space steps...
The late-time instability has been an issue of main concern for time-domain integral equation (TDIE) method using the march-on-time algorithms. It can be identified with by analyzing the eigenvalues of the synthetic impedance matrix of the methods. In this paper, we reformulate the TDIE methods and analyze the late-time instability of different types of TDIE. A new category of the eigenvalues is presented...
The Courant-Friedrichs-Lewy (CFL) condition has been recognized and used as a condition that ensures stable time-domain electromagnetic simulation using explicit march-in-time numerical methods. In this paper, using the FDTD (finite difference time domain) method as an example, based on the eigen analysis of the root cause of numerical instability, we propose an explicit wave-equation based FDTD method...
The convolutional perfectly matched layer (CPML) is modified and implemented for one-step leapfrog hybrid implicit-explicit finite-difference time-domain (HIE-FDTD) method. Its stability is verified in a semi-analytical way and its effectiveness is demonstrated numerically. It is shown that even when time step size is large, the absorbing performance of CPML is still very good.
An efficient method to determine stability and find solutions of the late-time currents is proposed for the time-domain electric field integral equation (TDEFIE) based marching-on-time (MOT) technique. With it, a simple formula is derived to find late-time currents and eigenvalues of the coefficient matrix that then determine the stability of the TDEEFIE method. Numerical examples are then provided...
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