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CG-FFT Method: Application of Signal Processing Techniques to Electromagnetics Unabridged edition [Kõva köide]

  • Formaat: Hardback, 361 pages
  • Ilmumisaeg: 31-Dec-1994
  • Kirjastus: Artech House Publishers
  • ISBN-10: 0890066345
  • ISBN-13: 9780890066348
  • Formaat: Hardback, 361 pages
  • Ilmumisaeg: 31-Dec-1994
  • Kirjastus: Artech House Publishers
  • ISBN-10: 0890066345
  • ISBN-13: 9780890066348
This work presents a comprehensive description of the basic principles and practical application of the conjugate gradient method in combination with fast Fourier transform (CG-FFT). It provides extensive fundamental analyses of basic spectral methods and conjugate gradient methods. The presentation details the relationship between applied electromagnetics and linear system theory for the analysis of radiation and scattering from: two-dimensional and three-dimensional bodies with arbitrary geometry and material composition; plane, multilayer or volumetric periodic structures; and metallic pateches defined over body of revolution (BOR) surfaces. This work is augmented with 860 equations, 185 figures and 250 references.
Part 1 Introduction to the conjugate gradient fast Fourier transform
(CG-FFT) method: brief survey of electromagnetic computational methods; CG
methods; Toeplitz symmetries and the CG-FFT method. Part 2 Fourier
transforms: discrete Fourier transform (DFT); continuous Fourier transform
(CFT). Part 3 Static problems: formulating a one-dimensional continuous
convolutional problem for individual structures; discretization of the
continuous EPP; discretization of periodic problems; spectral domain
discretization of problems involving individual structures. Part 4 Conjugate
gradient algorithms: integral equation formulation of electromagnetic
problems; the method of moments solution of the integral equation; iterative
solutions of the integral equation; conjugate gradient methods; the
generalized biconjugate gradient method; examples of convergence rates. Part
5 Arbitrary flat conducting plates: formulation of the problem;
discretization process; discretization of the integral equation; results for
induced current applications to radiation and scattering problems. Part 6
Three-dimensional bodies: discretization process; discretization of the
integral equation, resolution of the operator, and final results; results for
induced equivalent currents; application to radiation and scattering
problems. Part 7 Problems formulated in terms of systems of integral
equations: formulation of the continuous SIE; discretization of the SIE. Part
8 Metallic surfaces that conform to bodies of revolution: integral equation;
surfaces that conform to cylinders; surfaces that conform to arbitrary BORs.
Part 9 Flat periodic structures: direct and reciprocal lattices; Floquet's
Theorem; MPIE formulation for periodic structures; discretization process;
completing the discretization in the spectral domain; operational form of the
MPIE; reflection and transmission coefficients. Part 10 Flat periodic
structures in multilayer media: integral equation in the spectral domain;
discretization process; some numerical results and applications. Part 11
Finite-sized conducting patches in multilayer media: formulation of the
problem; formulation of the equivalent continuous operator equation;
computation of the windowed Green's function; some results for induced
currents; application to scattering problems; application to S-parameter
analysis of open microstrip structures. Part 12 Volumetric analysis of 3D
bodies that are periodic in one direction: formulation of the continuous
operator equation for a VODIPEB; formulation of the discrete operator
equation; computation of convolutional integrals using FFT; results.