Fundamentals of Electromagnetics
with
MATLAB
Karl E. Lonngren -
University of Iowa
Sava V. Savov - Technical University of Varna, Varna, Bulgaria
Randy Jost - Utah State University, Supplements
Instructors: Click here for your exam copy
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First Printing errata
- 9/5/06 (PDF)
All
In-Text Example M-files (Zip file 60KB)
All
MATLAB-Generated figure m-files (Zip file 50 KB
All Text Figures in
PowerPoint by Chapter (Zip file 2.36 MB)
All
MATLAB-generated Animation m-files (Zip file 38KB)
Our 2nd Edition, based on user feedback and Editorial Advisory Board, is in development and to be published late 2006. Go to 2nd Edition page.
- Attractive 2-color design - See Ch 7: Transmission Lines
- Tighter page design and new paper - a more compact book!
- MATLAB tutorial (with EM examples) on CD - See outline
- Supplemental chapters in PDF files on CD - see Waveguides outline
- "Applications" Supplemental Chapter in PDF on CD - see outline
- Redrawn 2-color figures, Times-Roman equation font
- 100% standalone Transmission Lines chapter for flexible course placement
Instructor Resources Request Form (Adopters Only)
- Complete Solutions to all problems in Word or .m files to the MATLAB problems
- PowerPoint Slides of all Figures in the text, by chapter
- Three sets of exams with solutions (First test, second test, final exam)
- Animations in MATLAB and MPG files (latest collection)
DESCRIPTION This book builds on the student’s introduction to electromagnetic theory that has been obtained in an undergraduate physics course in order to emphasize its importance in a modern electrical and computer engineering curriculum. Examples that illustrate the concepts of static fields, time-varying fields, wave propagation, transmission lines, and radiation are included. In addition, the text emphasizes the use of MATLAB, which is widely available and has frequently been used by the student in previous courses.
There are numerous textbooks on Electromagnetics. There are, also, many books on MATLAB. However, this innovative text is dedicated to the application of the power of MATLAB for the calculation and visualization of the electromagnetic field. MATLAB is extensively used in this text in order to make electromagnetic theory more understandable for the student and useful in later courses such as Antennas, Signal Processing. Microwave Engineering, etc.
This text is written to be at the level for students who have taken an undergraduate course in physics that introduces some of the fundamentals of electromagnetics. Students typically have also been introduced to MATLAB in their early courses and usually are “computer savvy” at this stage in their undergraduate curriculum. The extensive use of MATLAB should help the student in understanding a very difficult subject.
Complete Preface (PDF) Complete Table of Contents (PDF) Complete Cover
FEATURES FOR STUDENTS
1)
2)
MATLAB replaces 19th century mathematics in solving boundary value
problems for static fields. Traditional
vector calculus also incorporates MATLAB techniques.
3)
Wave propagation and transmission lines are emphasized in this text.
4) The MATLAB programs that are used to generate pictures in the book are made available online to the reader in order to encourage experimentation.
5) Animations of wave forms (new additions to be added continually)
6) Answers to all problems in the text (worked solutions to instructors only)
INSTRUCTOR RESOURCES
-
Worked solutions to all problems in PDF and MATLAB .m files
-
All figures and numbered equations in PowerPoint slides
-
Three separate Final Exams, with complete solutions
-
Comp copy of Elsherbeni - Antenna Design and Visualization Using MATLAB
* Confirmed order of 10 or more copies
Preface i
1. MATLAB and vectors 1
1.1. MATLAB and a review of vectors 3
1.2. Coordinate systems 22
1.2.1. Cartesian coordinates 24
1.2.2. Cylindrical coordinates 30
1.2.3. Spherical coordinates 34
1.3. Integral relations for vectors 41
1.3.1. Line integral 42
1.3.2. Surface integral 47
1.3.3. Volume integral 51
1.4. Differential relations for vectors 52
1.4.1. Gradient 52
1.4.2. Divergence 56
1.4.3. Curl 64
1.4.4. Repeated vector operations 72
1.5. Phasors74
1.6. Conclusion 80
1.7. Problems 81
2. Static electric and magnetic fields 91
2.1. Coulomb's law 91
2.2. Electric field 98
2.3. Superposition principles 101
2.4. Gauss's law 112
2.5. Potential energy and electric potential 121
2.6. Numerical integration 141
2.7. Dielectric materials 153
2.8. Capacitance 160
2.9. Electrical currents 166
2.10. Fundamentals of magnetic fields 171
2.11. Magnetic vector potential & the Biot-Savart law 187
2.12. Magnetic forces 198
2.13. Magnetic materials 215
2.14. Magnetic circuits 222
2.15. Inductance 227
2.16. Boundary conditions 233-243
2.17. Conclusion 233
2.18. Problems 245
3. Boundary value problems using MATLAB 260
3.1. Poisson's and Laplace's equations 260
3.2. Analytical solution in one-dimension - direct integration method 268
3.3. Numerical solution of a one-dimensional equation
- finite difference method 281
3.4. Analytical solution of a two-dimensional equation
- Fourier series expansion 292
3.5. Finite difference method using MATLAB 304
3.6. Finite element method using MATLAB 312
3.7. Method of moments using MATLAB 329
3.8. Conclusion 342
3.9. Problems 344
4. Time-varying electromagnetic fields 351
4.1. Faraday's law of induction 351
4.2. Equation of continuity 367
4.3. Displacement current 373
4.4. Maxwell's equations 379
4.5. Poynting's theorem 385
4.6. Time-harmonic electromagnetic fields 392
4.7. Conclusion 396
4.8. Problems 397
5. Electromagnetic wave propagation 402
5.1. Wave equation 402
5.2. One-dimensional wave equation
5.2.1. Related wave experiments 409
5.2.2. Analytical solution of one-dimensional wave equation
- traveling waves
415
5.2.3. MATLAB solution of one-dimensional wave equation
- finite difference
in time domain method 422
5.3. Time-harmonic plane waves
5.3.1. Plane waves in vacuum 428
5.3.2. Polarization and characteristic impedance 434
5.4. Plane wave propagation in a dielectric medium
5.4.1. Plane wave propagation in a lossless dielectric medium 438
5.4.2. Plane wave propagation in a lossy dielectric medium 442
5.5. Reflection and transmission of an electromagnetic wave
5.5.1. Normal incidence - propagating waves 452
5.5.2. Fabry-Perot resonator - standing waves 461
5.6. Waveguide - propagation with dispersion 470
5.7. Conclusion 482
5.8. Problems 484
6. Transmission lines 495
6.1. Equivalent electrical circuits 495
6.2. Transmission line equations 500
6.3. Sinusoidal waves 507
6.4. Terminations 513
6.5. Impedance of the transmission line and matching 522
6.6. Smith chart 532
6.7. Transient effects and the bounce diagram 546
6.8. Pulse propagation 556
6.9. Lossy transmission lines 563
6.10. Dispersion and group velocity 569
6.11. Conclusion 579
6.12. Problems 580
7. Radiation of electromagnetic waves 588
7.1. Radiation fundamentals 588
7.2. Short electric dipole antenna 599
7.3. Long dipole antenna 608
7.4. Antenna parameters 615
7.4.1. Radiation resistance 616
7.4.2. Directivity 620
7.4.3. Antenna gain 622
7.4.4. Beam width 622
7.4.5. Effective aperture 623
7.4.6. Friis transmission equation 624
7.5. Magnetic dipole antenna 627
7.6. Aperture antennas. Diffraction of waves 632
7.6.1. Diffraction of waves. Huygens' principle 632
7.6.2. Slot antennas. Babinet's principle 639
7.6.3. Horn and reflector antennas 640
7.7. Antenna arrays 648
7.8. Conclusion 662
7.9. Problems 663
Appendix 1: Mathematical formulas 668
Appendix 2: Mathematical foundation of the Finite element method 672
Appendix 3: Material parameters 678
Appendix 4: Transmission line parameters of two parallel wires 680
Appendix 5: Plasma evolution adjacent to a metallic surface 685
Appendix 6: References 688
Appendix 7: Answers to the problems 690
Index 730
Karl
E. Lonngren is a professor in the Department of Electrical and
Computer Engineering at the University of Iowa.
He received his BS, MS, and Ph.D. at the University of Wisconsin.
His research interests are in the area of nonlinear plasma physics.
He has authored are co-authored 4 books and more than 200 articles
in scientific and educational journals.
He is a Fellow of the IEEE and of the American Physical Society.
Sava
V. Savov received the M.Sc.
and the Ph.D. degrees (both in electrical engineering) from the Technical
University of Varna, Bulgaria, in 1974 and 1991 respectively. He
is an Associate Professor in the Department of Electronic Engineering at
the Technical University of Varna. His research interests and are in the
area of computational electromagnetics, numerical modeling of antennas and
propagation in wireless communications. Dr.
Savov has been a visiting researcher at the Center for Personal
Communications, Aalborg University, Denmark, at the Communication Research
Center, Ottawa, Canada, and at the Radiocommunications group, Eindhoven
University of Technology, the Netherlands. He is a Senior Member of IEEE.