Elements of Electromagnetics

BRIEF TABLE OF CONTENTS

TABLE OF CONTENTS

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 Ampere's Circuit Law-Maxwell's Equation
--7.4 Applications of Ampere'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 Ampere'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