Theory and Computation of Electromagnetic Fields

Reviews the fundamental concepts behind the theory and computation of electromagnetic fields

The book is divided in two parts. The first part covers both fundamental theories (such as vector analysis, Maxwell's equations, boundary condition, and transmission line theory) and advanced topics (such as wave transformation, addition theorems, and fields in layered media) in order to benefit students at all levels. The second part of the book covers the major computational methods for numerical analysis of electromagnetic fields for engineering applications. These methods include the three fundamental approaches for numerical analysis of electromagnetic fields: the finite difference method (the finite difference time-domain method in particular), the finite element method, and the integral equation-based moment method. The second part also examines fast algorithms for solving integral equations and hybrid techniques that combine different numerical methods to seek more efficient solutions of complicated electromagnetic problems.

Theory and Computation of Electromagnetic Fields, Second Edition:

• Provides the foundation necessary for graduate students to learn and understand more advanced topics

• Discusses electromagnetic analysis in rectangular, cylindrical and spherical coordinates

• Covers computational electromagnetics in both frequency and time domains

• Includes new and updated homework problems and examples

Theory and Computation of Electromagnetic Fields, Second Edition is written for advanced undergraduate and graduate level electrical engineering students. This book can also be used as a reference for professional engineers interested in learning about analysis and computation skills.

Auteur

JIAN-MING JIN, Ph.D., is the Y. T. Lo Chair Professor in Electrical and Computer Engineering and Director of the Electromagnetics Laboratory and Center for Computational Electromagnetics at the University of Illinois at Urbana-Champaign. He authored The Finite Element Method in Electromagnetics, Third Edition (Wiley 2014) and Electromagnetic Analysis and Design in Magnetic Resonance Imaging, and co-authored Computation of Special Functions (Wiley 1996), Finite Element Analysis of Antennas and Arrays (Wiley 2008), and Fast and Efficient Algorithms in Computational Electromagnetics. A Fellow of the IEEE, he is listed by ISI among the world's most cited authors.

Contenu
Preface xv

Acknowledgments xxi

Part I Electromagnetic Field Theory 1

1 Basic Electromagnetic Theory 3

1.2 Maxwell's Equations in Terms of Total Charges and Currents 11

1.3 Constitutive Relations 18

1.4 Maxwell's Equations in Terms of Free Charges and Currents 25

1.5 Boundary Conditions 27

1.6 Energy Power and Poynting's Theorem 31

1.7 Time-Harmonic Fields 33

References 46

Problems 46

2 Electromagnetic Radiation in Free Space 53

2.1 Scalar and Vector Potentials 53

2.2 Solution of Vector Potentials in Free Space 61

2.3 Electromagnetic Radiation in Free Space 69

2.4 Radiation by Surface Currents and Phased Arrays 78

References 84

Problems 85

3 Electromagnetic Theorems and Principles 89

3.1 Uniqueness Theorem 90

3.2 Image Theory 94

3.3 Reciprocity Theorems 101

3.4 Equivalence Principles 107

3.5 Duality Principle 120

3.6 Aperture Radiation and Scattering 121

References 128

Problems 129

4 Transmission Lines and Plane Waves 135

4.1 Transmission Line Theory 135

4.2 Wave Equations and General Solutions 144

4.3 Plane Waves Generated by a Current Sheet 156

4.4 Reflection and Transmission 159

4.5 Plane Waves in Anisotropic and Bi-Isotropic Media 174

References 190

Problems 191

5 Fields and Waves in Rectangular Coordinates 199

5.1 Uniform Waveguides 199

5.2 Uniform Cavities 220

5.3 Partially Filled Waveguides and Dielectric Slab Waveguides 229

5.4 Field Excitation in Waveguides 241

5.5 Fields in Planar Layered Media 245

References 257

Problems 257

6 Fields and Waves in Cylindrical Coordinates 261

6.1 Solution of Wave Equation 261

6.2 Circular and Coaxial Waveguides and Cavities 266

6.3 Circular Dielectric Waveguide 279

6.4 Wave Transformation and Scattering Analysis 287

6.5 Radiation by Infinitely Long Currents 300

References 319

Problems 320

7 Fields and Waves in Spherical Coordinates 325

7.1 Solution of Wave Equation 325

7.2 Spherical Cavity 331

7.3 Biconical Antenna 335

7.4 Wave Transformation and Scattering Analysis 341

7.5 Addition Theorem and Radiation Analysis 360

References 377

Problems 377

Part II Electromagnetic Field Computation 383

8 The Finite Difference Method 385

8.1 Finite Differencing Formulas 385

8.2 One-Dimensional Analysis 387

8.3 Two-Dimensional Analysis 393

8.4 Yee's FDTD Scheme 397

8.5 Absorbing Boundary Conditions 402

8.6 Modeling of Dispersive Media 417

8.7 Wave Excitation and Far-Field Calculation 422

8.8 Summary 427

References 428

Problems 429

9 The Finite Element Method 433

9.1 Introduction to the Finite Element Method 434

9.2 Finite Element Analysis of Scalar Fields 439

9.3 Finite Element Analysis of Vector Fields 450

9.4 Finite Element Analysis in the Time Domain 465

9.5 Discontinuous Galerkin Time-Domain Method 472

9.6 Absorbing Boundary Conditions 483

9.7 Some Numerical Aspects 494

9.8 Summary 497

References 497

Problems 499

10 The Method of Moments 505

10.1 Introduction to the Method of Moments 506

10.2 Two-Dimensional Analysis 510

10.3 Three-Dimensional Analysis 523

10.4 Analysis of Periodic Structures 544

10.5 Analysis of Microstrip Antennas and Circuits 551 10.6 The Moment Method in the Time...