Improved Finite-Difference Time-Domain Algorithm Based on Error Control for Lossy Materials

Abstract-This paper discusses the development of a reducederror finite-difference time-domain algorithm, capable of handling conducting media in an efficient manner. Founded on a spatially extended stencil, the proposed scheme introduces a novel design procedure, whose basic idea is to enforce conditions of the continuous space to the discrete level. In this way, we derive reliable space-time models for 2-D Maxwell's equations, minimizing the inherent phase and amplitude deviations. A high degree of adaptivity is also accomplished, as the spectral reliability range can be adjusted according to problem-dependent needs. Consequently, an upgraded discretization strategy is provided, which exhibits the same computational complexity with the conventional scheme. Index Terms-Finite-difference time-domain (FDTD) methods, high-order schemes, lossy media, optimized algorithms

Combined FVTD/PSTD Schemes with Enhanced Spectral Accuracy for the Design of Large-Scale EMC Applications

A generalized conformal time-domain method with adjustable spectral accuracy is introduced in this paper for the consistent analysis of large-scale electromagnetic compatibility problems. The novel 3-D hybrid schemes blend a stencil-optimized finite-volume time-domain and a multimodal Fourier-Chebyshev pseudo-spectral time-domain algorithm that split the overall space into smaller and flexible areas. A key asset is that both techniques are updated independently and interconnected by robust boundary conditions. Also, combining a family of spatial derivative approximators with controllable precision in general curvilinear coordinates, the proposed method launches a conformal field flux formulation to derive electromagnetic quantities in regions with fine details. For advanced grid reliability at dissimilar media interfaces, dispersion-reduced adaptive operators, which assign the proper weights to each spatial increment, are developed. So, the resulting discretization yields highly rigorous and computationally affordable simulations, devoid of lattice errors. Numerical results, addressing detailed comparisons of various realistic applications with reference or measurement data verify our methodology and reveal its significant applicability