Elements of Electromagnetics

Matthew N. O. Sadiku is Professor of Electrical and Computer Engineering at Prairie View A&M University. He is a registered Professional Engineer and a Fellow of the Institute of Electrical and Electronics Engineers (IEEE). He is also a member of the Association for Computing Machinery (ACM) and the American Society of Engineering Education (ASEE). Professor Sadiku has authored over 370 professional papers and over 70 books, including Computational Electromagnetics with MATLAB (2018). He is also the coauthor of Fundamentals of Electric Circuits (2017) and Principles of Modern Communication Systems (2017).

PREFACE

A NOTE TO THE STUDENT

MATH ASSESSMENT

PART 1: VECTOR ANALYSIS

1. VECTOR ALGEBRA
--1.1 Introduction
--1.2 A Preview of the Book
--1.3 Scalars and Vectors
--1.4 Unit Vector
--1.5 Vector Addition and Subtraction
--1.6 Position and Distance Vectors
--1.7 Vector Multiplication
--1.8 Components of a Vector
---Summary
---Review Questions
---Problems

2. COORDINATE SYSTEMS AND TRANSFORMATION
--2.1 Introductio
--2.2 Cartesian Coordinates (x, y, z)
--2.3 Circular Cylindrical Coordinates (r, f, z)
--2.4 Spherical Coordinates (r, u, f)
--2.5 Constant-Coordinate Surfaces
---Summary
---Review Questions
---Problems

3. VECTOR CALCULUS
--3.1 Introduction
--3.2 Differential Length, Area, and Volume
--3.3 Line, Surface, and Volume Integrals
--3.4 Del Operator
--3.5 Gradient of a Scalar
--3.6 Divergence of a Vector and Divergence Theorem
--3.7 Curl of a Vector and Stokes's Theorem
--3.8 Laplacian of a Scalar
--3.9 Classification of Vector Fields
---Summary
---Review Questions
---Problems

PART 2: ELECTROSTATICS

4. ELECTROSTATIC FIELDS
--4.1 Introduction
--4.2 Coulomb's Law and Field Intensity
--4.3 Electric Fields Due to Continuous Charge Distributions
--4.4 Electric Flux Density
--4.5 Gauss's Law-Maxwell's Equation
--4.6 Applications of Gauss's Law
--4.7 Electric Potential
--4.8 Relationship between E and V-Maxwell's Equation
--4.9 An Electric Dipole and Flux Lines
--4.10 Energy Density in Electrostatic Fields
--4.11 Application Note-Electrostatic Discharge
---Summary
---Review Questions
---Problems

5. ELECTRIC FIELDS IN MATERIAL SPACE
--5.1 Introduction
--5.2 Properties of Materials
--5.3 Convection and Conduction Currents
--5.4 Conductors
--5.5 Polarization in Dielectrics
--5.6 Dielectric Constant and Strength
--5.7 Linear, Isotropic, and Homogeneous Dielectrics
--5.8 Continuity Equation and Relaxation Time
--5.9 Boundary Conditions
--5.10 Application Note-High Dielectric Constant Materials
--5.11 Application Note-Graphene
--5.12 Application Note - Piezoelectrics
---Summary
---Review Questions
---Problems

6. ELECTROSTATIC BOUNDARY-VALUE PROBLEMS
--6.1 Introduction
--6.2 Poisson's and Laplace's Equations
--6.3 Uniqueness Theorem
--6.4 General Procedures for Solving Poisson's or Laplace's Equation
--6.5 Resistance and Capacitance
--6.6 Method of Images
--6.7 Application Note-Capacitance of Microstrip Lines
--6.8 Application Note-RF MEMS
--6.9 Application NOte-Supercapacitors
---Summary
---Review Questions
---Problems

PART 3: MAGNETOSTATICS

7. MAGNETOSTATIC FIELDS
--7.1 Introduction
--7.2 Biot-Savart's Law
--7.3 Ampère's Circuit Law-Maxwell's Equation
--7.4 Applications of Ampère's Law
--7.5 Magnetic Flux Density-Maxwell's Equation
--7.6 Maxwell's Equations for Static Fields
--7.7 Magnetic Scalar and Vector Potentials
--7.8 Derivation of Biot-Savart's Law and Ampère's Law
--7.9 Application Note-Lightning
--7.10 Application Note-Polywell
---Summary
---Review Questions
---Problems

8. MAGNETIC FORCES, MATERIALS, AND DEVICES
--8.1 Introduction
--8.2 Forces Due to Magnetic Fields
--8.3 Magnetic Torque and Moment
--8.4 A Magnetic Dipole
--8.5 Magnetization in Materials
--8.6 Classification of Materials
--8.7 Magnetic Boundary Conditions
--8.8 Inductors and Inductances
--8.9 Magnetic Energy
--8.10 Magnetic Circuits
--8.11 Force on Magnetic Materials
--8.12 Application Note-Magnetic Levitation
--8.13 Application Note-SQUIDs
---Summary
---Review Questions
---Problems

PART 4: WAVES AND APPLICATIONS

9. MAXWELL'S EQUATIONS
--9.1 Introduction
--9.2 Faraday's Law
--9.3 Transformer and Motional Electromotive Forces
--9.4 Displacement Current
--9.5 Maxwell's Equations in Final Forms
--9.6 Time-Varying Potentials
--9.7 Time-Harmonic Fields
--9.8 Application Note-Memristor
--9.9 Application Note-Optical Nanocircuits
--9.10 Application Note-Wireless Power Transfer and Qi Standard
---Summary
---Review Questions
---Problems

10. ELECTROMAGNETIC WAVE PROPAGATION
--10.1 Introduction
--10.2 Waves in General
--10.3 Wave Propagation in Lossy Dielectrics
--10.4 Plane Waves in Lossless Dielectrics
--10.5 Plane Waves in Free Space
--10.6 Plane Waves in Good Conductors
--10.7 Wave Polarization
--10.8 Power and the Poynting Vector
--10.9 Reflection of a Plane Wave at Normal Incidence
--10.10 Reflection of a Plane Wave at Oblique Incidence
--10.11 Application Note-Microwaves
--10.12 Application Note-60 GHz Technology
---Summary
---Review Questions
---Problems

11. TRANSMISSION LINES
--11.1 Introduction
--11.2 Transmission Line Parameters
--11.3 Transmission Line Equations
--11.4 Input Impedance, Standing Wave Ratio, and Power
--11.5 The Smith Chart
--11.6 Some Applications of Transmission Lines
--11.7 Transients on Transmission Lines 574
--11.8 Application Notes-Microstrip Lines and Characterization of Data Cables
--11.9 Application Note-Metamaterials
--11.10 Application Note-Microwave Imaging
---Summary
---Review Questions
---Problems

12. WAVEGUIDES
--12.1 Introduction
--12.2 Rectangular Waveguides
--12.3 Transverse Magnetic (TM) Modes
--12.4 Transverse Electric (TE) Modes
--12.5 Wave Propagation in the Guide
--12.6 Power Transmission and Attenuation
--12.7 Waveguide Current and Mode Excitation
--12.8 Waveguide Resonators
--12.9 Application Note-Optical Fiber
--12.10 Application Note-Cloaking and Invisibility
---Summary
---Review Questions
---Problems

13. ANTENNAS
--13.1 Introduction
--13.2 Hertzian Dipole
--13.3 Half-Wave Dipole Antenna
--13.4 Quarter-Wave Monopole Antenna
--13.5 Small-Loop Antenna
--13.6 Antenna Characteristics
--13.7 Antenna Arrays
--13.8 Effective Area and the Friis Equation
--13.9 The Radar Equation
--13.10 Application Note-Electromagnetic Interference and Compatibility
--13.11 Application Note-Textile Antennas and Sensors
--13.12 Application Note-Fractal Antennas
---Summary
---Review Questions
---Problems

14. NUMERICAL METHODS
--14.1 Introduction
--14.2 Field Plotting
--14.3 The Finite Difference Method
--14.4 The Moment Method
--14.5 The Finite Element Method
--14.6 Application Note-Microstrip Lines
---Summary
---Review Questions
---Problems

APPENDIX A: Mathematical Formulas
APPENDIX B: Material Constants
APPENDIX C: MATLAB
APPENDIX D: The Complete Smith Chart
APPENDIX E: Answers to Odd-Numbered Problems

INDEX