INFRARED AND MILLIMETER WAVES: MILLIMETER SYSTEMS
1 Introduction 1 2 Mathematical Description of Oscillations 6 21 Free and Forced Oscillations of a Simple Oscillator 6 22 Complex Representation of Harmonic Oscillations 13 23 Power and Energy Relations 20 24 State-Space Analysis 23 25 Linear Systems 26 26 Fourier Transform and Other Integral Transforms 31 Problems 41 3 Interaction between Oscillations and Waves 46 31 Comparison of Waves on Water with Other Waves 46 32 Dispersion, Phase Velocity and Group Velocity 48 33 Wave Power and Energy Transport 49 34 Radiation Resistance and Radiation Impedance 52 35 Resonance Absorption 54 Problems 58 4 Gravity Waves on Water 62 41 Basic Equations: Linearisation 62 42 Harmonic Waves on Water of Constant Depth 67 43 Plane Waves: Propagation Velocities 73 44 Wave Transport of Energy and Momentum 79 45 Real Ocean Waves 87 46 Circular Waves 91 47 A Useful Integral Based on Green’s Theorem 95 48 Far-Field Coefficients and Kochin Functions 100 49 Waves in the Time Domain 108 Problems 111 5 Wave–Body Interactions 121 51 Six Modes of Body Motion: Wave Forces and Moments 121 52 Radiation from an Oscillating Body 128 53 Impulse Response Functions in Hydrodynamics 141 54 Reciprocity Relations 146 55 Several Bodies Interacting with Waves 153 56 The Froude–Krylov Force and Small-Body Approximation 168 57 Axisymmetric Oscillating System 177 58 Two-Dimensional System 186 59 Motion Response 189 Problems 195 6 Oscillating-Body Wave-Energy Converters 204 61 Wave Absorption as Wave Interference 204 62 WEC Body Oscillating in One Mode 208 63 Optimum Control of a WEC Body 216 64 The Budal Upper Bound (BUB) 223 65 Several WEC-Body Modes 233 Problems 239 7 Oscillating Water Columns and Other Types of Wave-Energy Converters 242 71 Oscillating Water Column WECs 242 72 WEC Bodies Oscillating in Unconventional Modes of Motion 255 Problems 260 8 Wave-Energy Converter Arrays 262 81 WEC Array Consisting of Several Bodies 263 82 WEC Array of Oscillating Bodies and OWCs 273 83 Two-Dimensional WEC Body 287 Problems 291