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