IEEE Transactions on Antennas and Propagation · 2010 · 41 citations · 19 references
ComputingComputational EngineeringElectrical EngineeringComputational ElectromagneticsComputational PhysicsComputational Structural AnalysisConvergence AnalysisFinite Difference MethodsFinite Difference Time Domain AnalysisGrid GenerationTime IntegrationCfl ConstraintDispersion AnalysisFinite Difference Time Domain ModelingFinite Difference Time Domain SimulationGrid Cell SizeGridsNumerical DispersionNumerical Dispersion Analysis
The numerical dispersion characteristics of the recently developed three-dimensional unconditionally stable locally- one-dimensional finite-difference time-domain (LOD-FDTD) method are derived analytically. The effect of grid size and the Courant Friedrich Lewy (CFL) limits on dispersion are studied in detail. The LOD-FDTD method allows larger time steps as compared to the conventional FDTD method (CFL limit). The analysis shows that the unconditionally stable three-dimensional LOD-FDTD method has an advantage over the conventional FDTD method when modeling structures that require fine grids. The LOD-FDTD method allows larger CFL numbers as long as the dispersion error remains in acceptable range.
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