Fundamentals of electromagnetics with MATLAB / Karl E. Lonngren, Sava V. Savov, Randy J. Jost.

Includes bibliographical references (p. 490-492) and index.

Contents
Preface ix
Chapter 1
MATLAB, Phasors Vectors and Phasors 3
1.1 Understanding Vectors Using MATLAB 4
1.2 Coordinate Systems 16
1.3 Integral Relations for Vectors 29
1.4 Differential Relations for Vectors 37
1.5 Phasors 52
1.6 Conclusion 56
1.7 Problems 56
Chapter 2
Electrostatic Fields 61
2.1 Coulomb's Law 61
2.2 Electric Field 67
2.3 Superposition Principles 69
2.4 Gauss's Law 77
2.5 Potential Energy and Electric Potential 85
2.6 Numerical Integration 100
2.7 Dielectric Materials 109
2.8 Capacitance 114
2.9 Conclusion 119
2.10 Problems 119
Chapter 3
Magnetostatic Fields 123
3.1 Electrical Currents 123
3.2 Fundamentals of Magnetic Fields 128
3.3 Magnetic Vector Potential and the Biot-Savart Law 138
3.4 Magnetic Forces 146
3.5 Magnetic Materials 157
3.6 Magnetic Circuits 162
3.7 Inductance 166
3.8 Conclusion 171
3.9 Problems 172
Chapter 4
Boundary Value Problems Using MATLAB 177
4.1 Boundary Conditions for Electric and Magnetic Fields 178
4.2 Poisson's and Laplace's Equations 186
4.3 Analytical Solution in One Dimension-Direct Integration Method 191
4.4 Numerical Solution of a One-Dimensional Equation-Finite Difference Method 201
4.5 Analytical Solution of a Two-Dimensional Equation-Separation of variables 211
4.6 Finite Difference Method Using MATLAB 220
4.7 Finite Element Method Using MATLAB 226
4.8 Method of Moments Using MATLAB 241
4.9 Conclusion 251
4.10 Problems 252
Chapter 5
Time-Varying Electromagnetic Fields 257
5.1 Faraday's Law of Induction 257
5.2 Equation of Continuity 270
5.3 Displacement Current 274
5.4 Maxwell's Equations 280
5.5 Poynting's Theorem 285
5.6 Time-Harmonic Electromagnetic Fields 290
5.7 Conclusion 293
5.8 Problems 294
Chapter 6
Electromagnetic Wave Propagation 297
6.1 Wave Equation 297
6.2 One-Dimensional Wave Equation 302
6.3 Time-Harmonic Plane Waves 318
6.4 Plane Wave Propagation in a Dielectric Medium 325
6.5 Reflection and Transmission of an Electromagnetic Wave 335
6.7 Conclusion 349
6.8 Problems 349
Chapter 7
Transmission Lines 353
7.1 Equivalent Electrical Circuits 354
7.2 Transmission Line Equations 357
7.3 Sinusoidal Waves 362
7.4 Terminations 367
7.5 Impedance on the Transmission Line Matching 374
7.6 Smith Chart 381
7.7 Transient Effects and the Bounce Diagram 390
7.8 Pulse Propagation 397
7.9 Lossy Transmission Lines 403
7.10 Dispersion and Group Velocity 407
7.11 Conclusion 414
7.12 Problems 415
Chapter 8
Radiation of Electromagnetic Waves 419
8.1 Radiation Fundamentals 419
8.2 Infinitesimal Electric Dipole Antenna 427
8.3 Finite Electric Dipole Antenna 434
8.4 Loop Antennas 440
8.5 Antenna Parameters 443
8.6 Antenna Arrays 455
8.7 Conclusion 466
8.8 Problems 467
Appendix A
Mathematical Formulas 469
Appendix B
Material Parameters 474
Appendix C
Mathematical Foundation of the Finite
Element Method 477
Appendix D
Transmission Line Parameters of Two Parallel Wires 483
Appendix E
Plasma Evolution Adjacent to a Metallic Surface 487
Appendix F
Bibliography 490
Appendix G
Selected Answers 493
Index 523