Numerische Methoden der Elektromagnetischen Feldtheorie I (NFT I)

Inhaltsverzeichnis:

	Dozent
	Inhaltsübersicht
	Voraussetzungen, Termin, Stundenanzahl, Sprache, Prüfung
	Literatur
	Liste der numerischen Methoden
	Software, Programmpakete, Werkzeuge
	Programmiersprachen und Werkzeuge
	Vorlesungsnotizen
	Übungen und Lösungen
	Programme

Dozent

Dr.-Ing. René Marklein

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Inhaltsübersicht

Voraussetzungen, Termin, Stundenanzahl, Sprache, Prüfung

Literatur

	Chew, W. C.: Waves and Fields in Inhomogeneous Media. D. Van Nostrand Reinhold, New York, USA, 1990.
	Golub, G., J. M. Ortega [1993], Scientific Computing: An Introduction With Parallel Computing, Academic Press, San Diego, CA, USA. [amazon.de] [amazon.com]
	Harrington, 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).
	Kunz, K. S., R. J. Luebbers: Finite Difference Time Domain Method for Electromagnetics. CRC Press, Boca Raton, Florida, USA, 1993.
	Langenberg, K. J.: Skript zur Vorlesung: Elektromagnetische Feldtheorie II & III. FG Theoretische Elektrotechnik, FB Elektrotechnik, Universität Kassel, Kassel, 1998.
	Marklein, R.: Numerische Verfahren zur Modellierung von akustischen, elektromagnetischen, elastischen und piezoelektrischen Wellenausbreitungsproblemen im Zeitbereich basierend auf der Finiten Integrationstechnik. Shaker Verlag, Aachen, 1997.
	Peterson, A. F., S. L. Ray, R. Mittra: Computational Methods for Electromagnetics. IEEE Press, Piscataway, New Jersey, USA, 1998.
	Press, 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]
	Saad, Y.: Iterative Methods for Sparse Linear Systems. PWS Publishing Company, Boston, USA, 1996.
	Smith, G. D.: Numerical Solution of Partial Differential Equations: Finite Difference Method. 3rd ed., Clarendon Press, Oxford, UK, 1985.
	Strikwerda, J. C.: Finite Difference Schemes and Partial Differential Equations. Wadsworth & Brooks/Cole, Mathematics Series, Pacific Grove, California, USA, 1989.
	Sullivan, D. M.: Electromagnetic Simulation Using the FDTD Method. IEEE Press, Piscataway, New Jersey, USA, 2000.
	Taflove, A.: Computational Electrodynamics: The Finite-Difference Time-Domain Method. 2nd Ed., Artech House, Norwood, Mass., USA, 2000.
	Volakis, J. L., A. Chatterjee, L. C. Kempel: Finite Element Method for Electromagnetic. IEEE Press, Piscataway, New Jersey, USA, 1998.

Liste der numerischen Methoden

Finite Differenzen Methode (FDM)

	Finite Differenzen im Zeitbereich (FDTD) Methode
	Finite Integrationstechnik (FIT)
	Finite Elemente Methode (FEM)
	Finite Volumem Methode (FVM)
	Momenten-Methode (MoM)
	Zellen Methode

Finite Differenzen Methode (FDM)

Grundlagen

Taylor-Reichenentwicklung

Approximationsfehler

	Programmpakete
	Literatur

Grundlagen

Literatur

	Ames, W. F. [1977], Numerical Methods for Partial Differential Equations, 2nd ed., Academic Press, San Diego.
	Smith, G. D. [1985], Numerical Solution of Partial Differential Equations: Finite Difference Methods, Oxford University Press, New York. [amazon.de]
	Strikwerda, J. C. [1989], Finite Difference Schemes and Partial Differential Equations, Wadsworth & Brooks/Cole, Wadsworth, CA, USA. [amazon.de]

Finite Difference Time Domain (FDTD) Method

Grundlagen

Yee-Methode, Yee-Zelle

Taylor-Reihenentwicklung, Approximationsfehler

	Literatur
	Programmpakete
	Verweise

Grundlagen

Literatur

	Kunz, K. S., R. Luebbers [1993], The Finite Difference Time Domain Method for Electromagnetics, CRC Press, Boca Raton, FL, USA. [amazon.de]
	Taflove, A. [1995], Computational Electrodynamics: The Finite-Difference Time-Domain Method, Artech House, Boston, MA, USA. [amazon.de]
	Taflove, A., S. Hagness [2000], Computational Electrodynamics: The Finite-Difference Time-Domain Method, 2nd ed., Artech House, Boston, MA, USA. [amazon.de]
	Taflove, A. (ed.) [1998], Advances in Computational Electrodynamics: The Finite-Difference Time-Domain Method, Artech House, Boston, MA, USA. [amazon.de]
	Sullivan, D. [2000], Electromagnetic Simulation Using the FDTD Method, IEEE Press, New York, USA. [amazon.de]

Verweise

	fdtd.org
	Hagness, Prof. Susan C., University of Wisconsin-Madison, Madison, WI, USA.
	Taflove, Prof. Allen, Northwestern University, Evanston, IL, USA.

Finite Integrationstechnik (FIT)

Grundlagen

Dualer Zellenkomplex, und

Mittelpunktsregel, Approximationsfehler

	Programmpakete
	Literatur

Grundlagen

Literatur

	Marklein, R. [1997], Numerical Methods for the Modeling of Acoustic, Electromagnetic, Elastic and Piezoelectric Wave Propagation Problems in the Time Domain Based on the Finite Integration Technique. Shaker Verlag, Aachen, Germany. (in German) (Amazon (Germany) , Shaker Verlag, Aachen (Germany) )
	van Rienen, U. [2001], Numerical Methods in Computational Electrodynamics, Springer Verlag, Berlin [amazon.de]

Finite Elemente Methode (FEM)

Grundlagen

	Programmpakete
	Literatur

Grundlagen

Literatur

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

Finite Volumen Methode (FVM)

Grundlagen

	Programmpakete
	Literatur

Grundlagen

Literatur

Yee, K. S. [1997], The Finite-Difference Time-Domain (FDTD) and the Finite-Volume Time-Domain (FVTD) Methods in Solving Maxwell's Equations, IEEE Transactions on Antennas Propagation., Vol. 45, No. 3, March, 1977.

Software, Programmpakete, Werkzeuge

ANSYS/Emag (ANSYS)

ANSYS/Multiphysics (ANSYS)

CST Microwave Studio (FI Method, CST - Computer Simulation Technology)

CST MICROWAVE STUDIO™ is a specialist tool for the fast and accurate simulation of high frequency problems.
Applications include the expanding areas of: Mobile Communication, Wireless Design (bluetooth), Signal Integrity, and EMC.
Exceptionally user friendly, CST MWS quickly gives you an insight into the EM behavior of your high frequency designs.
CST MWS offers three solvers: The Time Domain Solver, the Eigenmode Solver and a Frequency Domain solver, as well as
options for the import of specific CAD files and the extraction of SPICE parameters.

CST Design Studio (FI Method, CST - Computer Simulation Technology)

FIDELITY (FDTD, Zeland Software)

FIDELITY is a FDTD (Finite-Difference Time-Domain) based Full-3D EM Simulator for modeling microwave circuits,
components, and antenna, wireless/RF antennas, EMC and EMI structures, and other high-speed and high-frequency circuitry.

Ensemble (Method of Moments, ANSOFT)

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

HFSS (Finite Elemente Methode, ANSOFT)

3D elektromagnetische Simulationssoftware für HF- und drahtlose Übertragung, Verpackung und Optoelektronik

IE3D (Method of Moments, Zeland Software)

Planar and 3D Electromagnetic Simulation and Optimization Package

MAFIA 4 (FI Method, CST - Computer Simulation Technology)

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

XFDTD (FDTD Method, REMCOM Inc)

Programmiersprachen und Werkzeuge

Cygwin

FORTRAN

MPI und PVM

MATLAB

Gnuplot

Programming in C

References

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

Vorlesungsnotizen

Wenn Sie die folgenden PowerPoint-Dateien (.ppt) herunterladen müssen Sie zur Darstellung zusätzlich die MathType-Schriftarten installieren. Die MathType-Schriftarten können von der Homepage von Design Science (→ English / → German) herunter geladen werden.

Liste der Vorlesungsnotizen

	Vorlesung 1.ppt, 1 Page A4.pdf, 2 Pages A4.pdf (letzte Aktualisierung 23.11.2005)
	Vorlesung 2.ppt, 1 Page A4.pdf, 2 Pages A4.pdf (letzte Aktualisierung 23.11.2005)
	Vorlesung 3.ppt, 1 Page A4.pdf, 2 Pages A4.pdf (letzte Aktualisierung 23.11.2005)
	Vorlesung 4.ppt, 1 Page A4.pdf, 2 Pages A4.pdf (letzte Aktualisierung 10.01.2006)
	Vorlesung 5.ppt, 1 Page A4.pdf, 2 Pages A4.pdf (letzte Aktualisierung 10.01.2006)
	Vorlesung 6.ppt, 1 Page A4.pdf, 2 Pages A4.pdf (letzte Aktualisierung 17.01.2006)
	Vorlesung 7.ppt, 1 Page A4.pdf, 2 Pages A4.pdf (letzte Aktualisierung 24.01.2006)
	Vorlesung 8.ppt, 1 Page A4.pdf, 2 Pages A4.pdf (letzte Aktualisierung 02.02.2006)
	Vorlesung 9.ppt, 1 Page A4.pdf, 2 Pages A4.pdf (letzte Aktualisierung 03.02.2006)
	Vorlesung10.ppt, 1 Page A4.pdf, 2 Pages A4.pdf (letzte Aktualisierung 02.03.2006) (neu)
	Vorlesung11.ppt, 1 Page A4.pdf, 2 Pages A4.pdf (letzte Aktualisierung 02.03.2006) (neu)
	Vorlesung12.ppt, 1 Page A4.pdf, 2 Pages A4.pdf (letzte Aktualisierung 02.03.2006) (neu)

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Übungen und Lösungen

Liste der Übungen und Lösungen

Übung 1 (letzte Aktualisierung am 08.11.2005)

	Exercise1.pdf
	Solution1.pdf

Übung 2 (letzte Aktualisierung am 15.11.2006)

	Exercise2.pdf
	Solution2.pdf

Übung 3 (letzte Aktualisierung am 14.01.2006)

Exercise3.pdf

Übung 3 (letzte Aktualisierung am 03.02.2006)

Exercise4.pdf

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Programme

Liste der Programme

1D FD Vakuum (MATLAB-Quellprogramm fd1dvac_rcn_poyn.m )

Eingabeparameter für den ersten Lauf: Nz = 200, Nt = 500, Nz_Source = 100.

2D FD TM Vakuum (MATLAB-Quellprogramm fd2dtmvac_rcn_poyn.m )

Eingabeparameter für den ersten Lauf: Nz = 200, Nt = 500, Nz_Source = 100.

1D FDTD Vakuum (C-Quelleprogramm fdtd1dvac.c, MATLAB-Quellprogramm fdtd1dvac.m )

	MATLAB-Quellprogramm zur Visualisierung der Ausgabedateien des C-Programms (fig_1.m, fig_2.m, fig_3.m)
	Gnuplot-Eingabedatei to visualize the output files of the C-Programms
	Input parameter for the first run: Nz = 200, Nt = 500, Nz_Source = 100.
	Instructions: The C program fdtd1dvac.c runs the FDTD simulation and generates output files in binary and ascii format of the Ex and Hy field component and the time history of the excitation pulse. These files can be visualize with the provided MATLAB files fig_1.m, fig_2.m, and fig_3.m. The MATLAB program runs the FDTD simulation and visualizes the Ex and Hy field interactively. If you don't have MATLAB, you can use e.g. gnuplot to plot Ex, Hy, and the pulse contained in the ascii output files of the C program.
	Figure 1, generated with MATLAB program fig_1.m
	Figure 2, generated with MATLAB program fig_2.m
	Figure 3, generated with MATLAB program fig_3.m

1D FDTD Vakuum mit absorbierenden Rändern (C source code fdtd1dvacab.c, MATLAB source code fdtd1dvacab.m )

	MATLAB source code to visualize the output files of the C program (fig_1.m, fig_2.m, fig_3.m)
	Gnuplot input files to visualize the output files of the C program
	Input parameter for the first run: Nz = 200, Nt = 500, Nz_Source = 100.
	Instructions: The C program fdtd1dvacab.c runs the FDTD simulation and generates output files in binary and ascii format of the Ex and Hy field component and the time history of the excitation pulse. These files can be visualize with the provided MATLAB files fig_1.m, fig_2.m, and fig_3.m. The MATLAB program runs the FDTD simulation and visualizes the Ex and Hy field interactively. If you don't have MATLAB, you can use e.g. gnuplot to plot Ex, Hy, and the pulse contained in the ascii output files of the C program.
	Figure 1, generated with MATLAB program fig_1.m
	Figure 2, generated with MATLAB program fig_2.m
	Figure 3, generated with MATLAB program fig_3.m

1D FDTD Dielectric with Absorbing Boundaries (C source code fdtd1ddieab.c, MATLAB source code fdtd1ddieab.m )

	MATLAB source code to visualize the output files of the C program (fig_1.m, fig_2.m, fig_3.m)
	Gnuplot input files to visualize the output files of the C program
	Input parameter for the first run: Nz = 200, Nt = 500, Nz_Source = 50.
	Instructions: The C program fdtd1ddieab.c runs the FDTD simulation and generates output files in binary and ascii format of the Ex and Hy field component and the time history of the excitation pulse. These files can be visualize with the provided MATLAB files fig_1.m, fig_2.m, and fig_3.m. The MATLAB program runs the FDTD simulation and visualizes the Ex and Hy field interactively. If you don't have MATLAB, you can use e.g. gnuplot to plot Ex, Hy, and the pulse contained in the ascii output files of the C program.
	Figure 1, generated with MATLAB program fig_1.m
	Figure 2, generated with MATLAB program fig_2.m
	Figure 3, generated with MATLAB program fig_3.m