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Virtually every four-year electrical and computer engineering program requires a course in electromagnetic fields and waves encompassing Maxwell's equations. Understanding and appreciating the laws of Nature that govern the speed of even the smallest computer chip or largest power line is fundamental for every electrical and computer engineer. Fundamentals of Electromagnetics with MATLAB, 2nd Edition is much more than a mere textbook. The book itself offers a structural framework of principles, key equations, and problems. With that crucial supporting structure, each instructor, student or reader can turn to the supplemental files provided with this book or available online to customize and decorate each topic room.

This second edition is the result of extensive user feedback and includes a 100% standalone Transmission Line chapter for flexible course placement; expanded problem sets matched to text sections and checked for clarity; and separate chapters for Electrostatics and Magnetostatics. The attractive 2-color design, tight page design and new paper make this a more compact, lay-open book that is also $20-35 below the competition.

Teaching with MATLAB
Students can learn and apply this subject's difficult principles much more easily, and possibly even enjoyably, using MATLAB. Here's how using MATLAB alongside this textbook makes all the difference.

• Examples - Worked-out examples run throughout the text to show how a proof can be derived or a problem solved in steps.


• Figures - Numerous figures within the text were generated using MATLAB. Students can obtain and manipulate the program code with its corresponding M-file and can also view the figure in full color from their CD.


• Problems - Each chapter contains numerous problems of varying complexity. Icons in the text show that certain problems can be solved using MATLAB.


• Animations - Authors, instructors, and even students have contributed a number of animations showing principles at work. The MATLAB files become a starting point for manipulating the variables to produce different results.


• Tutorials - Students come with widely varying exposures to MATLAB. A self-paced tutorial is included on the student CD which introduces MATLAB operations and tools, starting with the basics and bringing the student forward to perform relatively complex operations, problem solving, and visualizations.

• Whether you offer one course or two, this second edition provides greatly enhanced flexibility to the instructor with optional new topics and extended discussion of core topics provided in PDF files on the student CD.


• Complete solutions to all problems in Word, or .m files to the MATLAB problems.


• A core base of applications are included on the student CD for instructors to assign as reading. Instructors who wish to submit their own applications can do so and they will be made available as web downloads and added to the CD in our periodic updates.


• 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, MPG files, and PowerPoint.


• Instructors receive a complimentary copy of Syed Nasar's book 2008+ Solved Problems in Electromagnetics (with confirmed order of 10 or more copies - others by special request)

• Preface


• 1. MATLAB and Vectors


• 1.1. MATLAB and a review of vectors


• 1.2. Coordinate systems


• 1.2.1. Cartesian coordinates


• 1.2.2. Cylindrical coordinates


• 1.2.3. Spherical coordinates


• 1.3. Integral relations for vectors


• 1.3.1. Line integral


• 1.3.2. Surface integral


• 1.3.3. Volume integral


• 1.4. Differential relations for vectors


• 1.4.1. Gradient


• 1.4.2. Divergence


• 1.4.3. Curl


• 1.4.4. Repeated vector operations


• 1.5. Phasors


• 1.6. Conclusion


• 1.7. Problems


• 2. Electrostatic Fields


• 2.1. Coulomb's law


• 2.2. Electric field


• 2.3. Superposition principles


• 2.4. Gauss's law


• 2.5. Potential energy and electric potential


• 2.6. Numerical integration


• 2.7. Dielectric materials


• 2.8. Capacitance


• 2.9 Conclusion


• 2.10 Problems


• 3. Magnetostatic Fields


• 3.1. Electrical currents


• 3.2. Fundamentals of magnetic fields


• 3.3. Magnetic vector potential & the Biot-Savart law


• 3.4. Magnetic forces


• 3.5. Magnetic materials


• 3.6. Magnetic circuits


• 3.7. Inductance


• 3.8. Conclusion


• 3.9. Problems


• 4. Boundary Value Problems Using MATLAB


• 4.1 Boundary conditions


• 4.2. Poisson's and Laplace's equations


• 4.3. Analytical solution in one-dimension - direct integration method


• 4.4. Numerical solution of a one-dimensional equation - finite difference method


• 4.5. Analytical solution of a two-dimensional equation - Fourier series expansion


• 4.6. Finite difference method using MATLAB


• 4.7. Finite element method using MATLAB


• 4.8. Method of moments using MATLAB


• 4.9. Conclusion


• 4.10. Problems


• 5. Time-varying Electromagnetic Fields


• 5.1. Faraday's law of induction


• 5.2. Equation of continuity


• 5.3. Displacement current


• 5.4. Maxwell's equations


• 5.5. Time-harmonic electromagnetic fields; Poynting's Theorem


• 5.6. Conclusion


• 5.7. Problems


• 6. Electromagnetic Wave Propagation


• 6.1. Wave equation


• 6.2. One-dimensional wave equation


• 6.2.1. Related wave experiments


• 6.2.2. Analytical solution of one-dimensional wave equation - traveling waves


• 6.2.3. MATLAB solution of one-dimensional wave equation - finite difference in time domain method


• 6.3. Time-harmonic plane waves


• 6.3.1. Plane waves in vacuum


• 6.3.2. Polarization and characteristic impedance


• 6.4. Plane wave propagation in a dielectric medium


• 6.4.1. Plane wave propagation in a lossless dielectric medium


• 6.4.2. Plane wave propagation in a lossy dielectric medium


• 6.5. Reflection and transmission of an electromagnetic wave


• 6.5.1. Normal incidence - propagating waves


• 6.5.2. Fabry-Perot resonator - standing waves


• 6.6. Conclusion


• 6.7. Problems


• 7. Transmission Lines


• 7.1. Equivalent electrical circuits


• 7.2. Transmission line equations


• 7.3. Sinusoidal waves


• 7.4. Terminations


• 7.5. Impedance of the transmission line and matching


• 7.6. Smith chart


• 7.7. Transient effects and the bounce diagram


• 7.8. Pulse propagation


• 7.9. Lossy transmission lines


• 7.10. Dispersion and group velocity


• 7.11. Conclusion


• 7.12. Problems


• 8. Radiation of Electromagnetic Waves


• 8.1. Radiation fundamentals


• 8.2. Short electric dipole antenna


• 8.3. Long dipole antenna; Huygens' principle


• 8.4. Antenna parameters


• 8.4.1. Radiation resistance


• 8.4.2. Directivity


• 8.4.3. Antenna gain


• 8.4.4. Beam width


• 8.4.5. Effective aperture


• 8.4.6. Friis transmission equation


• 8.5. Magnetic dipole antenna


• 8.6. Antenna arrays


• 8.7. Conclusion


• 8.8. Problems


• Appendix A: Mathematical formulas


• Appendix B: Electromagnetic Units


• Appendix C: Material parameters


• Appendix D: Mathematical foundation of the Finite element method


• Appendix E: Transmission line parameters of two parallel wires


• Appendix F: Plasma evolution adjacent to a metallic surface


• Appendix G: References


• Appendix H: Answers to the problems


• Index

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.

Randy J. Jost is an Adjunct Assistant Professor of Electrical and Computer Engineering and Senior Engineer at the Space Dynamics Lab, Utah State University. His research interests are in the general area of range characterization and certification, electromagnetic compatibility, and radar and remote sensing. He is actively involved in the Antenna Measurement and Technique Association (AMTA) and the IEEE EMC Society.