| Preface | p. xiii |
| Acknowledgments | p. xviii |
| Introduction | p. 1 |
| The Radar Environment | p. 3 |
| Background | p. 3 |
| Considerations | p. 3 |
| A Methodology | p. 4 |
| The Radar Equation | p. 5 |
| Classical Form | p. 5 |
| A Formal Description | p. 5 |
| Gaussian Form | p. 7 |
| The Atmospheric Environment | p. 7 |
| Effects | p. 8 |
| System Needs and Models | p. 9 |
| Data Sources | p. 11 |
| Organization of the Material | p. 12 |
| The Radar Equation | p. 15 |
| The Radar Equation--Classical Forms | p. 17 |
| Initial Derivations | p. 18 |
| Classical | p. 18 |
| Bistatic | p. 22 |
| Search Form | p. 22 |
| Friis' Transmission Formula | p. 24 |
| Radar Equation With Interference | p. 25 |
| Atmospheric Path Loss | p. 26 |
| Meteorological Equation | p. 28 |
| Applications--Methodology for System Analysis | p. 32 |
| Evolution of Radar Requirements | p. 33 |
| Radar Parameters | p. 38 |
| Methodology | p. 53 |
| The Radar Equation--A Formal Treatment | p. 69 |
| Maxwell's Equations | p. 70 |
| Field Quantities, Units, and Dimensions | p. 70 |
| Integral Forms | p. 72 |
| Differential Forms | p. 77 |
| Boundary Conditions | p. 78 |
| Equation Compilations | p. 80 |
| Antenna, Scattering, and Radar Equation Formulations | p. 82 |
| Vector Potentials | p. 82 |
| Equivalence Theorem and Kirchhoff's Formula | p. 90 |
| Reciprocity | p. 97 |
| Derivation of the Radar Equation | p. 100 |
| From a Power Transfer Formulation | p. 101 |
| From Kirchhoff's Formula | p. 104 |
| Plane Waves | p. 106 |
| Derivations | p. 107 |
| Free Space and Perfect Dielectrics | p. 110 |
| Lossy Dielectrics and Conductors | p. 114 |
| Incidence on Dielectrics | p. 115 |
| Incidence on Perfect Conductors | p. 117 |
| Remarks | p. 119 |
| Radar Antennas | p. 120 |
| Interpretations and Formulations | p. 120 |
| Properties of an Antenna Pattern | p. 123 |
| Radiation from Current Elements | p. 125 |
| Fourier Transform Methods | p. 138 |
| Hankel Transform Methods | p. 145 |
| Gaussian Field Expansions | p. 147 |
| Introduction to Arrays | p. 169 |
| Radar Cross Sections | p. 177 |
| Scattering Centers | p. 177 |
| Formulations | p. 180 |
| Long, Thin Bodies of Revolution | p. 180 |
| Target Models | p. 187 |
| The Radar Signal | p. 188 |
| Basics | p. 189 |
| The Matched Filter | p. 191 |
| Ambiguity Functions | p. 192 |
| Waveforms | p. 192 |
| Synopsis | p. 195 |
| The Radar Equation--Gaussian Forms | p. 199 |
| Rationale | p. 199 |
| Formulations | p. 200 |
| Power Densities | p. 201 |
| Power Transfer | p. 203 |
| Beamwidth, Gain, and Aperture Efficiency | p. 204 |
| The Square Antenna | p. 206 |
| Gaussian Equivalents | p. 208 |
| Radar Equations--Gaussian Equivalents | p. 209 |
| Radar Equations--General Forms | p. 213 |
| The Circular Antenna | p. 216 |
| Gaussian Field Expansions | p. 216 |
| Gaussian Equivalents | p. 218 |
| Radar Equations--Gaussian Equivalents | p. 218 |
| Radar Equations--General Forms | p. 219 |
| The Meteorological Radar Equation | p. 220 |
| Derivation | p. 221 |
| A General Form | p. 223 |
| Applications | p. 226 |
| The Radiated Power Density | p. 226 |
| Pattern Degradations | p. 235 |
| Two-Term Gaussian Expansion | p. 239 |
| Formulas | p. 240 |
| The Atmospheric Environment | p. 245 |
| The Atmosphere | p. 247 |
| Regions of the Atmosphere | p. 247 |
| The Troposphere | p. 247 |
| The Stratosphere | p. 248 |
| The Mesosphere | p. 250 |
| The Thermosphere | p. 251 |
| U.S. Standard Atmosphere | p. 252 |
| Pressure and Temperature | p. 252 |
| Air Density | p. 253 |
| Water Vapor | p. 253 |
| Clouds | p. 254 |
| Formation of Clouds | p. 254 |
| Cloud Families | p. 254 |
| Precipitation | p. 256 |
| Cloudiness | p. 258 |
| Tabulated Cloud Characteristics | p. 260 |
| Fog | p. 260 |
| Global Rain Regions | p. 265 |
| Definitions | p. 265 |
| Climate Regions | p. 266 |
| Fog Occurrences | p. 268 |
| Examples | p. 270 |
| Data Compilations And Models | p. 275 |
| The Clear Environment | p. 277 |
| Attenuation | p. 277 |
| Properties | p. 279 |
| Altitude Dependence | p. 282 |
| Zenith Attenuation and Phase Delay | p. 284 |
| Refractivity | p. 286 |
| Propagation Constant | p. 286 |
| Frequency-Independent Refractivity | p. 288 |
| Frequency-Dependent Refractivity | p. 290 |
| Additional Formulations and Procedures | p. 290 |
| Ray Paths | p. 290 |
| Formulas for Beam Position Errors | p. 293 |
| Phase Delays | p. 293 |
| Time Delays | p. 294 |
| Summary | p. 295 |
| Rain Data Compilations | p. 297 |
| Introduction | p. 298 |
| Types of Rain | p. 298 |
| Vertical Profiles | p. 300 |
| Drop Size Distributions | p. 301 |
| Additional Background | p. 309 |
| Uniform Rain Model | p. 311 |
| Attenuation | p. 311 |
| Backscatter | p. 311 |
| Use of Model | p. 314 |
| Path-Dependent Model | p. 316 |
| Path-Average Attenuation | p. 316 |
| Backscatter Formulation | p. 318 |
| A Methodology | p. 318 |
| Two-Component Dependence | p. 320 |
| Snow and Hail | p. 325 |
| Characteristics of Snow | p. 332 |
| Propagation Effects | p. 335 |
| Hail | p. 336 |
| Summary | p. 339 |
| Fractal Formulations | p. 341 |
| Introduction | p. 342 |
| Definitions | p. 344 |
| Fractal Models | p. 346 |
| Methodology for Analysis and Simulation | p. 358 |
| Final Remarks | p. 362 |
| Cloud Environments | p. 365 |
| Haze | p. 365 |
| Fog | p. 365 |
| Clouds | p. 367 |
| Dusts and Smoke | p. 371 |
| Data Compilations | p. 373 |
| Basics | p. 373 |
| Data | p. 373 |
| Summary | p. 375 |
| Appendices | p. 385 |
| Gaussian Antenna--Scaling Factors and Series Coefficients | p. 385 |
| Diffraction Integrals | p. 385 |
| Orthogonal Functions | p. 389 |
| Hermite-Gaussian Field Expansions | p. 390 |
| Laguerre-Gaussian Field Expansions | p. 402 |
| Statistical Data | p. 409 |
| Fractional Differentiation and Integration | p. 410 |
| The Hyperbolic Distribution | p. 418 |
| A Random Number Generator | p. 421 |
| References | p. 428 |
| Bibliography | p. 437 |
| Index | p. 449 |
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