An Implicit Characteristic Based Method For Electromagnetics
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An Implicit Characteristic Based Method for Electromagnetics
An implicit characteristic-based approach for numerical solution of Maxwell's time-dependent curl equations in flux conservative form is introduced. This method combines a characteristic based finite difference spatial approximation with an implicit lower-upper approximate factorization (LU/AF) time integration scheme. This approach is advantageous for three-dimensional applications. Results are given both for a Fourier analysis of stability, damping and dispersion properties, and for one-dimensional model problems involving propagation and scattering for free space and dielectric materials using both u iform and nonuniform grids. The explicit FDTD algorithm is used as a convenient reference algorithm for comparison.