| Preface | 6 |
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| TABLE OF CONTENTS | 8 |
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| LIST OF SYMBOLS AND OPERATORS | 13 |
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| Operators and mathematical conventions | 19 |
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| CHAPTER 1 THE IMAGING RADAR SYSTEM | 20 |
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| 1.1 Why Microwaves? | 20 |
| 1.2 Imaging with Microwaves | 20 |
| 1.3 Components of an Imaging Radar System | 22 |
| 1.4 Assumed Knowledge | 24 |
| 1.4.1 Complex Numbers | 25 |
| 1.4.2 Vectors and Matrices | 25 |
| 1.4.3 Differential Calculus | 25 |
| 1.5 Referencing and Footnotes | 25 |
| 1.6 A Critical Bibliography | 25 |
| 1.7 How this Book is Organised | 28 |
| CHAPTER 2 THE RADIATION FRAMEWORK | 30 |
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| 2.1 Energy Sources in Remote Sensing | 30 |
| 2.2 Wavelength Ranges used in Remote Sensing | 33 |
| 2.3 Total Available Energy | 34 |
| 2.4 Energy Available for Microwave Imaging | 36 |
| 2.5 Passive Microwave Remote Sensing | 38 |
| 2.6 The Atmosphere at Microwave Frequencies | 38 |
| 2.7 The Benefits of Radar Remote Sensing | 40 |
| 2.8 Looking at the Underlying Electromagnetic Fields | 41 |
| 2.9 The Concept of Near and Far Fields | 45 |
| 2.10 Polarisation | 47 |
| 2.11 The Jones Vector | 52 |
| 2.12 Circular Polarisation as a Basis Vector System | 55 |
| 2.13 The Stokes Parameters, the Stokes Vector and the Modified Stokes Vector | 57 |
| 2.14 Unpolarised and Partially Polarised Radiation | 59 |
| 2.15 The Poincaré Sphere | 61 |
| 2.16 Transmitting and Receiving Polarised Radiation | 63 |
| 2.17 Interference | 67 |
| 2.18 The Doppler Effect | 68 |
| CHAPTER 3 THE TECHNOLOGY OF RADAR IMAGING | 72 |
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| PART A: THE SYSTEM | 72 |
| 3.1 Radar as a Remote Sensing Technology | 72 |
| 3.2 Range Resolution | 74 |
| 3.3 Pulse Compression Radar | 77 |
| 3.4 Resolution in the Along Track Direction | 80 |
| 3.5 Synthetic Aperture Radar (SAR) | 80 |
| 3.6 The Mathematical Basis for SAR | 81 |
| 3.7 Swath Width and Bounds on Pulse Repetition Frequency | 85 |
| 3.8 The Radar Resolution Cell | 87 |
| 3.9 ScanSAR | 87 |
| 3.10 Squint and the Spotlight Operating Mode | 90 |
| PART B: THE TARGET | 94 |
| 3.11 The Radar Equation | 94 |
| 3.12 Theoretical Expression for Radar Cross Section | 96 |
| 3.13 The Radar Cross Section in dB | 96 |
| 3.14 Distributed Targets | 97 |
| 3.15 The Scattering Coefficient in dB | 98 |
| 3.16 Polarisation Dependence of the Scattering Coefficient | 99 |
| 3.17 The Scattering Matrix | 100 |
| 3.18 Target Vectors | 104 |
| 3.19 The Covariance and Coherency Matrices | 105 |
| 3.20 Measuring the Scattering Matrix | 108 |
| 3.21 Relating the Scattering Matrix to the Stokes Vector | 109 |
| 3.22 Polarisation Synthesis | 111 |
| 3.23 Compact Polarimetry | 122 |
| 3.24 Faraday Rotation | 125 |
| CHAPTER 4 CORRECTING AND CALIBRATING RADAR IMAGERY | 128 |
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| 4.1 Sources of Geometric Distortion | 128 |
| 4.1.1 Near Range Compressional Distortion | 128 |
| 4.1.2 Layover, Relief Displacement, Foreshortening and Shadowing | 130 |
| 4.1.3 Slant Range Imagery | 132 |
| 4.2 Geometric Correction of Radar Imagery | 134 |
| 4.2.1 Regions of Low Relief | 134 |
| 4.2.2 Passive Radar Calibrators | 135 |
| 4.2.3 Active Radar Calibrators (ARCs) | 136 |
| 4.2.4 Polarimetric Active Radar Calibrators (PARCs) | 137 |
| 4.2.5 Regions of High Relief | 137 |
| 4.3 Radiometric Correction of Radar Imagery | 139 |
| 4.3.1 Speckle | 139 |
| 4.3.2 Radar Image Products | 146 |
| 4.3.3 Speckle Filtering | 147 |
| 4.3.4 Antenna Induced Radiometric Distortion | 152 |
| CHAPTER 5 SCATTERING FROM EARTH SURFACE FEATURES | 154 |
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| 5.1 Introduction | 154 |
| 5.2 Common Scattering Mechanisms | 154 |
| 5.3 Surface Scattering | 155 |
| 5.3.1 Smooth Surfaces | 155 |
| 5.3.2 Rough Surfaces | 158 |
| 5.3.3 Penetration into Surface Materials | 167 |
| 5.4 Volume Scattering | 172 |
| 5.4.1 Modelling Volume Scattering | 172 |
| 5.4.2 Depolarisation in Volume Scattering | 177 |
| 5.4.3 Extinction in Volume Scattering | 178 |
| 5.5 Scattering from Hard Targets | 179 |
| 5.5.1 Facet Scattering | 180 |
| 5.5.2 Dihedral Corner Reflector Behaviour | 181 |
| 5.5.3 Metallic and Resonant Elements | 186 |
| 5.5.4 Bragg Scattering | 189 |
| 5.5.5 The Cardinal Effect | 190 |
| 5.6 Composite Scatterers | 191 |
| 5.7 Sea Surface Scattering | 191 |
| 5.8 Internal (Ocean) Waves | 197 |
| 5.9 Sea Ice Scattering | 197 |
| CHAPTER 6 INTERFEROMETRIC AND TOMOGRAPHIC SAR | 200 |
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| 6.1 Introduction | 200 |
| 6.2 The Importance of Phase | 200 |
| 6.3 A Radar Interferometer - InSAR | 202 |
| 6.4 Creating the Interferometric Image | 204 |
| 6.5 Correcting for Flat Earth Phase Variations | 205 |
| 6.6 The Problem with Phase Angle | 206 |
| 6.7 Phase Unwrapping | 208 |
| 6.8 An Inclined Baseline | 209 |
| 6.9 Standard and Ping Pong Modes of Operation | 210 |
| 6.10 Types of SAR Interferometry | 211 |
| 6.11 The Concept of Critical Baseline | 213 |
| 6.12 Decorrelation | 215 |
| 6.13 Detecting Topographic Change: Along Track Interferometry | 217 |
| 6.14 Polarimetric Interferometric SAR (PolInSAR) | 221 |
| 6.14.1 Fundamental Concepts | 221 |
| 6.14.2 The T6 Coherency Matrix | 225 |
| 6.14.3 Maximising Coherence | 226 |
| 6.14.4 The Plot of Complex Coherence | 227 |
| 6.15 Tomographic SAR | 228 |
| 6.15.1 The Aperture Synthesis Approach | 228 |
| 6.15.2 The Fourier Transformation Approach to Vertical Resolution | 234 |
| 6.15.3 Unevenly Spaced Fli
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