Computational electrodynamics : the finite-difference time-domain method
著者
書誌事項
Computational electrodynamics : the finite-difference time-domain method
（The Artech House antenna library / Helmut E. Schrank, series editor）
Artech House, c1995
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注記
Includes bibliographical references and indexes
内容説明・目次
内容説明
Written 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.
目次
- Part 1 Reinventing electromagnetics: background
- history of space-grid time-domain techniques for Maxwell's equations
- scaling to very large problem sizes
- defense applications
- dual-use electromagnetics technology. Part 2 The one-dimensional scalar wave equation: propagating wave solutions
- finite-difference approximation of the scalar wave equation
- dispersion relations for the one-dimensional wave equation
- numerical group velocity
- numerical stability. Part 3 Introduction to Maxwell's equations and the Yee algorithm: Maxwell's equations in three dimensions
- reduction to two dimensions
- equivalence to the wave equation in one dimension. Part 4 Numerical stability: TM mode
- time eigenvalue problem
- space eigenvalue problem
- extension to the full three-dimensional Yee algorithm. Part 5 Numerical dispersion: comparison with the ideal dispersion case
- reduction to the ideal dispersion case for special grid conditions
- dispersion-optimized basic Yee algorithm
- dispersion-optimized Yee algorithm with fourth-order accurate spatial differences. Part 6 Incident wave source conditions for free space and waveguides: requirements for the plane wave source condition
- the hard source
- total-field/scattered
- field formulation
- pure scattered field formulation
- choice of incident plane wave formulation. Part 7 Absorbing boundary conditions for free space and waveguides: Bayliss-Turkel scattered-wave annihilating operators
- Engquist-Majda one-way wave equations
- Higdon operator
- Liao extrapolation
- Mei-Fang superabsorption
- Berenger perfectly-matched layer (PML)
- absorbing boundary conditions for waveguides. Part 8 Near-to-far field transformation: obtaining phasor quantities via discrete fourier transformation
- surface equivalence theorem
- extension to three dimensions phasor domain. Part 9 Dispersive, nonlinear, and gain materials: linear isotropic case
- recursive convolution method linear gyrontropic case
- linear isotropic case
- auxiliary differential equation method, Lorentz gain media. Part 10 Local subcell models of the fine geometrical features: basis of contour-path FD-TD modelling
- the simplest contour-path subcell models
- the thin wire
- conformal modelling of curved surfaces
- the thin material sheet
- relativistic motion of PEC boundaries. Part 11 Explicit time-domain solution of Maxwell's equations using non-orthogonal and unstructured grids, Stephen Gedney and Faiza Lansing: nonuniform, orthogonal grids
- globally orthogonal
- global curvilinear co-ordinates
- irregular non-orthogonal unstructured grids
- analysis of printed circuit devices using the planar generalized Yee algorithm. Part 12 The body of revolution FD-TD algorithm, Thomas Jurgens and Gregory Saewert: field expansion
- difference equations for on-axis cells
- numerical stability
- PML absorbing boundary condition. Part 13 Modelling of electromagnetic fields in high-speed electronic circuits, Piket-May and Taflove. (part contents).
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