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
大学図書館所蔵 全46件
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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