Numerical Methods in Electromagnetic Field Theory II (NFT II)

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Table of Contents:

bulletLecturer
bullet Overview of the Contents
bullet Prerequisites, Time, Units, Language, Exam
bullet References
bullet List of Numerical Methods
bullet Software
bullet Programming Languages and Tools
bullet Lecture Notes
bullet Exercises and Solutions
bullet Programs

Lecturer

        Dr.-Ing. René Marklein

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Overview of the Contents

Maxwell's equations; Scalar and electromagnetic Huygens' principle; scalar surface integral equations (1st and 2nd kind); Surface integral equations (EFIE, MFIE, CFIE); Volume integral equations; Method of moments (MoM); Conjugate gradient (CG) method; Conjugate gradient - fast Fourier transform (CG-FFT) method; Finite element method (FEM); Finite volume method (FVM); Examples and applications.

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Prerequisites, Time, Units, Language, Exam

Mathematics I/II; Basics of Electrical Engineering I-III; Mathematical Foundation of Electromagnetic Field Theory I/II; Recommended Semester: 5th Semester (regular Students), 1 Semester (Master Students); Winter semester (WS); 2 lecture and 1 exercise; English/German; Oral exam in the winter and summer semester

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References

bulletChew, W. C.: Waves and Fields in Inhomogeneous Media. D. Van Nostrand Reinhold, New York, USA, 1990.
bulletGolub, G., J. M. Ortega [1993], Scientific Computing: An Introduction With Parallel Computing, Academic Press, San Diego, CA, USA. [amazon.de] [amazon.com]
bulletHarrington, R. F.: Field Computation by Moment Methods. IEEE Press, Piscataway, New Jersey, USA, 1993 (Nachdruck der Originalausgabe: R. E. Krieger Pub. Company, Fla., USA, 1968).
bulletLangenberg, K. J.: Skript zur Vorlesung: Elektromagnetische Feldtheorie II & III. FG Theoretische Elektrotechnik, FB Elektrotechnik/Informatik, Universität Kassel, Kassel, 2002.
bulletMarklein, R.: Numerische Verfahren zur Modellierung von akustischen, elektromagnetischen, elastischen und piezoelektrischen Wellenausbreitungsproblemen im Zeitbereich basierend auf der Finiten Integrationstechnik. Shaker Verlag, Aachen, 1997.
bulletPeterson, A. F., S. L. Ray, R. Mittra: Computational Methods for Electromagnetics. IEEE Press, Piscataway, New Jersey, USA, 1998.
bulletPress, W. H., S. A. Teukolsky, W. T. Vettering, B. P. Flannery: Numerical Recipes in C: The Art of Scientific Computing. 2nd ed., Cambridge University Press, USA, 1994. [online version] [amazon.de] [amazon.com]
bulletSaad, Y.: Iterative Methods for Sparse Linear Systems. PWS Publishing Company, Boston, USA, 1996.
bulletSmith, G. D.: Numerical Solution of Partial Differential Equations: Finite Difference Method. 3rd ed., Clarendon Press, Oxford, UK, 1985.
bulletVolakis, J. L., A. Chatterjee, L. C. Kempel: Finite Element Method for Electromagnetic. IEEE Press, Piscataway, New Jersey, USA, 1998.

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List of Numerical Methods

bullet Method of Moments (MoM)
bullet Finite Element Method (FEM)               
bullet Finite Volume Method (FVM)

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Method of Moments (MoM)

bullet

Basics

bullet Solvers
bullet References

    Basics

    Solvers

bullet

Numerical Electromagnetics Code (Method of Moments) NEC simulates the electromagnetic response of antennas and metal structures. [www.nec2.org]

 

    References

bulletHarrington, R. F.: Field Computation by Moment Methods. IEEE Press, Piscataway, New Jersey, USA, 1993 (Nachdruck der Originalausgabe: R. E. Krieger Pub. Company, Fla., USA, 1968).
bulletVolakis, J. L., A. Chatterjee, L. C. Kempel: Finite Element Method for Electromagnetic. IEEE Press, Piscataway, New Jersey, USA, 1998.

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Finite Element Method (FEM)

bullet

Basics

bulletSolvers
bullet References

    Basics

    References

bulletJin, Jianming [1993], The Finite Element Method in Electromagnetics, John Wiley & Sons, New York. [amazon.de]
bulletKost, Arnulf [1994], Numerische Methoden in der Berechnung elektromagnetischer Felder, Springer, Berlin. [amazon.de]
bulletPelosi, G., R. Coccioli, S. Selleri [1998], Quick Finite Elements for Electromagnetic Waves  [homepage][amazon.de]
bulletPeterson, A. F., S. L. Ray, R. Mittra [1997], Computational Methods for Electromagnetics, IEEE, Piscataway. [amazon.de]
bulletReece, A. B., T. W. Preston [2000], Finite Element Methods in Electrical Power Engineering, Oxford University Press, Oxford. [amazon.de]

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Finite Volume Method (FVM)

bullet

Basics

bulletSolvers
bullet References

    Basics

    References

bulletYee, K. S. [1997], The Finite-Difference Time-Domain (FDTD) and the Finite-Volume Time-Domain (FVTD) Methods in Solving Maxwell's Equations, IEEE Trans. Antennas Propagat., Vol. 45, No. 3, March.

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 Software

bullet

ANSYS/Emag (ANSYS)

bullet

ANSYS/Multiphysics (ANSYS)

bullet

Ensemble (Method of Moments, ANSOFT)
bullet

Ensemble is a planar method-of-moments (MoM) electromagnetic simulation software package that computes S-parameters
 and full-wave fields for microstrip and planar microwave structures including filters, power dividers, and antennas

bullet

HFSS (FE Method, ANSOFT)
bullet

3D finite element analysis electromagnetic simulation software for RF, Wireless, Packaging, and Optoelectronic design

bullet

IE3D (Method of Moments, Zeland Software)
bullet

Planar and 3D Electromagnetic Simulation and Optimization Package

bullet

SuperNEC (Method of Moments, Unified Theory of Diffraction, Poynting)

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 Programming Languages and Tools

bulletC Programming Environment under Win32
bullet Cygwin
bulletFORTRAN
bullet MPI and PVM
bulletMATLAB
bulletGnuplot
bullet XEmacs
bullet Netlib Netlib is a collection of mathematical software, papers, and databases

Programming in C

    References

bulletKernighan, B. W., D. M. Ritchie [1988], The C Programming Language, Prentice Hall. (amazon.com) (amazon.de)

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 Lecture Notes

    If you download the following PowerPoint files (*.ppt) you have to install additional MathType fonts. The MathType fonts can be downloaded from the homepage of Design Science ( English / German).

   List of Lecture Notes

bullet Lecture 1 (last update 21.05.2003)
bullet Lecture1.pdf, Lecture1.html, Lecture1.ppt
bullet Lecture 2 (last update 21.05.2003)
bullet Lecture2.pdf, Lecture2.html, Lecture2.ppt
bullet Lecture 3 (last update 02.03.2003)
bullet Lecture3.pdf, Lecture3.html, Lecture3.ppt
bullet Lecture 4 (last update 06.06.2003)
bullet Lecture4.pdf, Lecture4.html, Lecture4.ppt
bullet Lecture 5 (last update 16.07.2003)
bullet Lecture5.pdf, Lecture5.html, Lecture5.ppt
bullet Lecture 6 (last update 01.10.2003)
bullet Lecture6.pdf
bullet Lecture 7 (last update 01.10.2003)
bullet Lecture7.pdf

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 Exercises and Solutions

   List of Exercises and Solutions

bullet Exercise 1 (last update 02.06.2003)
bullet Exercise1.pdf
bullet Solution1.pdf, Solution1.html, Solution1.ppt
bullet Exercise 2 (last update ??.??.????)
bullet Exercise2.pdf
bullet Solution2.pdf
bullet Exercise 3 (last update ??.??.????)
bullet Exercise3.pdf

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