IEEE Transactions on Microwave Theory and Techniques · 2001 · 266 citations · 5 references
ComputingComputational Engineering3D ModelingComputational ElectromagneticsComputational PhysicsConvergence AnalysisFinite Difference MethodsFinite Difference Time Domain AnalysisMesh GenerationMesh ModelingTime IntegrationDispersion AnalysisDispersion Relation AnalysisFinite Difference SchemesFinite Difference Time Domain ModelingFinite Difference Time Domain SimulationNumerical DispersionNumerical Dispersion AnalysisStability Of Finite Difference Schemes
This paper presents a comprehensive analysis of numerical dispersion of the recently developed unconditionally stable three-dimensional finite-difference time-domain (FDTD) method where the alternating-direction-implicit technique is applied. The dispersion relation is derived analytically and the effects of spatial and temporal steps on the numerical dispersion are investigated. It is found that the unconditionally stable FDTD scheme has advantages over the conventional FDTD of the Yee's scheme in modeling structures of fine geometry where a graded mesh is required. The unconditionally stable FDTD allows the use of a large time step in a region of fine meshes while maintaining numerical dispersion errors smaller than those associated with the region of coarse meshes.
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