## Computational Electrodynamics: The Finite-difference Time-domain MethodWritten by the pioneer and foremost authority on the subject, this new book is both a comprehensive university textbook and professional/research reference on the finite-difference time-domain (FD-TD) computational solution method for Maxwell's equations. It presents in-depth discussions of: The revolutionary Berenger PML absorbing boundary condition; FD-TD modelling of nonlinear, dispersive, and gain optical materials used in lasers and optical microchips; unstructured FD-TD meshes for modelling of complex systems; 2.5-dimensional body-of-revolution FD-TD algorithms; Linear and nonlinear electronic circuit models, including a seamless tie-in to SPICE; Digital signal postprocessing of FD-TD data; FD-TD modelling of microlaser cavities; and FD-TD software development for the latest Intel and Cray massively parallel computers. |

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46 pages matching **numerical stability** in this book

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### Contents

References | 30 |

Problems | 50 |

ChaptetV Introduction to Maxwells Equations and the Yee Algorithm | 51 |

Copyright | |

19 other sections not shown

### Other editions - View all

Computational Electrodynamics: The Finite-difference Time-domain Method Allen Taflove,Susan C. Hagness No preview available - 2005 |

### Common terms and phrases

angle Antennas and Propagation applied approximation array assumed boundary conditions calculated circuit contour contour-path derivative dielectric dimensions discussed electric and magnetic electric field electromagnetic field electromagnetic wave error excitation far-field FD-TD algorithm FD-TD grid FD-TD modeling FD-TD simulations FDTD field components finite-difference time-domain method Fourier free-space frequency function geometry grid boundary grid cell ground plane IEEE IEEE Trans impedance implemented incident wave integral interface lattice linear located loop magnetic field Maxwell's equations mesh method microstrip Microwave Theory mode nonlinear normal numerical stability obtain optical parallel parameters permits permittivity phase velocity plane wave PML ABC problem processors pulse radiation reflection coefficient region scattered-field scattering second-order SIBC sinusoidal solitons solution spatial step structure surface Taflove tangential Theory and Techniques three-dimensional total-field two-dimensional unstructured grids values vector components voltage wave equation wave propagation waveform waveguide Yee algorithm zero