Contents Timeline and Technology Briefs iv Preface to the 2006 Edition xiii 1 Introduction: Waves and Phasors 2 1-1 Dimensions, Units, and Notation 5 1-2 The Nature of Electromagnetism 12 1-2.1 The Gravitational Force: A Useful Analogue 13 1-2.2 Electric Fields 14 1-2.3 Magnetic Fields 16 1-2.4 Static and Dynamic Fields 18 1-3 Traveling Waves 18 1-3.1 Sinusoidal Wave in a Lossless Medium 21 1-3.2 Sinusoidal Wave in a Lossy Medium 23 1-4 The Electromagnetic Spectrum 26 1-5 Review of Complex Numbers 28 1-6 Review of Phasors 31 2 Transmission Lines 40 2-1 General Considerations 41 2-1.1 The Role of Wavelength 42 2-1.
2 Propagation Modes 43 2-2 Lumped-Element Model 45 2-3 Transmission-Line Equations 49 2-4 Wave Propagation on a Transmission Line 50 2-5 The Lossless Transmission Line 53 2-5.1 Voltage Reflection Coefficient 54 2-5.2 Standing Waves 57 2-6 Input Impedance of the Lossless Line 61 2-7 Special Cases of the Lossless Line 64 2-7.1 Short-Circuited Line 64 2-7.2 Open-Circuited Line 66 2-7.3 Application of Short-Circuit and Open-Circuit Measurements 66 2-7.4 Lines of Length l = nλ/2 68 2-7.5 Quarter-Wave Transformer 68 2-7.
6 Matched Transmission Line: ZL = Z0 68 2-8 Power Flow on a Lossless Transmission Line 70 2-8.1 Instantaneous Power 70 2-8.2 Time-Average Power 71 2-9 The Smith Chart 72 2-9.1 Parametric Equations 72 2-9.2 Input Impedance 77 2-9.3 SWR, Voltage Maxima and Minima 79 2-9.4 Impedance to Admittance Transformations 80 2-10 Impedance Matching 88 2-11 Transients on Transmission Lines 92 2-11.1 Transient Response 92 2-11.
2 Bounce Diagrams 96 3 Vector Analysis 108 3-1 Basic Laws of Vector Algebra 109 3-1.1 Equality of Two Vectors 110 3-1.2 Vector Addition and Subtraction 111 3-1.3 Position and Distance Vectors 111 3-1.4 Vector Multiplication 112 3-1.5 Scalar and Vector Triple Products 115 3-2 Orthogonal Coordinate Systems 116 3-2.1 Cartesian Coordinates 117 3-2.2 Cylindrical Coordinates 117 3-2.
3 Spherical Coordinates 121 3-3 Transformations between Coordinate Systems 123 3-3.1 Cartesian to Cylindrical Transformations 123 3-3.2 Cartesian to Spherical Transformations 125 3-3.3 Cylindrical to Spherical Transformations 127 3-3.4 Distance between Two Points 127