The CG-FFT Method: Application of Signal Processing Techniques to Electromagnetics

Author:   Jose Basterrechea ,  Manuel Catedra ,  Emilio Gago ,  Rafael Torres
Publisher:   Artech House Publishers
Edition:   Unabridged edition
ISBN:  

9780890066348


Pages:   361
Publication Date:   31 December 1994
Format:   Hardback
Availability:   Out of stock   Availability explained
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The CG-FFT Method: Application of Signal Processing Techniques to Electromagnetics


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Overview

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.

Full Product Details

Author:   Jose Basterrechea ,  Manuel Catedra ,  Emilio Gago ,  Rafael Torres
Publisher:   Artech House Publishers
Imprint:   Artech House Publishers
Edition:   Unabridged edition
Dimensions:   Width: 15.20cm , Height: 2.40cm , Length: 22.90cm
Weight:   0.680kg
ISBN:  

9780890066348


ISBN 10:   0890066345
Pages:   361
Publication Date:   31 December 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

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.

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