Time Domain Techniques in Computational Electromagnetics

Chapter 1 Time domain analysis of electromagnetic wave fields by boundary integral equation method: Introduction; Four-dimensional formulation of Kirchhoff's boundary integral equation for electromagnetic fields; Boundary conditions of electromagnetic fields in four-dimensional time space; Boundary element formulation of time domain electromagnetic fields; MPI parallel computation; Numerical Examples; Summary; References. Chapter 2 Time domain integral equation method for transient analysis of thin wire structures: Introduction; Time domain integral equation formulation for thin wire structures; Time domain energy measures for transient response; Root-mean-square measures for transient response; Space-time numerical solution procedures; Computational examples; Generalization to an arbitrary number of straight wires; Concluding remarks; References. Chapter 3 Time domain method and frequency domain applications: Introduction; Time-frequency domain transformation; Frequency data from time domain waveform examples; Time domain method for nonlinear load using frequency domain data; Chapter summary; References. Chapter 4 Finite difference time domain methods: Introduction; State of the art; Finite numerical schemes: an operational approach; Fundamental topics: convergence, consistency, stability and dispersion; Truncation conditions: Perfectly Matched Layer (PML); Unconditionally stable methods: ADI-FDTD; Material modelling; Geometrical modelling; Afterword; References. Chapter 5 Time domain hybrid methods: Introduction; The Finite-Element Time-Domain method (FETD); The Method of Moments in the Time Domain (MoMTD); Implementation of current sources in the FDTD and ADI-FDTD schemes; Hybrid method FDTD-FETD-MoMTD; ADI-FDTD/MoMTD hybrid technique; Examples of application; References.