Description

Book Synopsis
  • A practical book written for engineers who design and use antennas
  • The author has many years of hands on experience designing antennas that were used in such applications as the Venus and Mars missions of NASA
  • The book covers all important topics of modern antenna design for communications
  • Numerical methods will be included but only as much as are needed for practical applications


Table of Contents

Preface xv

1 Properties of Antennas 1

1-1 Antenna Radiation 2

1-2 Gain 3

1-3 Effective Area 6

1-4 Path Loss 6

1-5 Radar Range Equation and Cross Section 7

1-6 Why Use an Antenna? 9

1-7 Directivity 10

1-8 Directivity Estimates 11

1-8.1 Pencil Beam 11

1-8.2 Butterfly or Omnidirectional Pattern 13

1-9 Beam Efficiency 16

1-10 Input-Impedance Mismatch Loss 17

1-11 Polarization 18

1-11.1 Circular Polarization Components 19

1-11.2 Huygens Source Polarization 21

1-11.3 Relations Between Bases 22

1-11.4 Antenna Polarization Response 23

1-11.5 Phase Response of Rotating Antennas 25

1-11.6 Partial Gain 26

1-11.7 Measurement of Circular Polarization Using Amplitude Only 26

1-12 Vector Effective Height 27

1-13 Antenna Factor 29

1-14 Mutual Coupling Between Antennas 29

1.15 Antenna Noise Temperature 30

1-16 Communication Link Budget and Radar Range 35

1-17 Multipath 36

1-18 Propagation Over Soil 37

1-19 Multipath Fading 39

References 40

2 Radiation Structures and Numerical Methods 42

2-1 Auxiliary Vector Potentials 43

2-1.1 Radiation from Electric Currents 44

2-1.2 Radiation from Magnetic Currents 49

2-2 Apertures: Huygens Source Approximation 51

2-2.1 Near- and Far-Field Regions 55

2-2.2 Huygens Source 57

2-3 Boundary Conditions 57

2-4 Physical Optics 59

2-4.1 Radiated Fields Given Currents 59

2-4.2 Applying Physical Optics 60

2-4.3 Equivalent Currents 65

2-4.4 Reactance Theorem and Mutual Coupling 66

2-5 Method of Moments 67

2-5.1 Use of the Reactance Theorem for the Method of Moments 68

2-5.2 General Moments Method Approach 69

2-5.3 Thin-Wire Moment Method Codes 71

2-5.4 Surface and Volume Moment Method Codes 71

2-5.5 Examples of Moment Method Models 72

2-6 Finite-Difference Time-Domain Method 76

2-6.1 Implementation 76

2-6.2 Central Difference Derivative 77

2-6.3 Finite-Difference Maxwell’s Equations 77

2-6.4 Time Step for Stability 79

2-6.5 Numerical Dispersion and Stability 80

2-6.6 Computer Storage and Execution Times 80

2-6.7 Excitation 81

2-6.8 Waveguide Horn Example 83

2-7 Ray Optics and the Geometric Theory of Diffraction 84

2-7.1 Fermat’s Principle 85

2-7.2 H -Plane Pattern of a Dipole Located Over a Finite Strip 85

2-7.3 E-Plane Pattern of a Rectangular Horn 87

2-7.4 H -Plane Pattern of a Rectangular Horn 89

2-7.5 Amplitude Variations Along a Ray 90

2-7.6 Extra Phase Shift Through Caustics 93

2-7.7 Snell’s Laws and Reflection 93

2-7.8 Polarization Effects in Reflections 94

2-7.9 Reflection from a Curved Surface 94

2-7.10 Ray Tracing 96

2-7.11 Edge Diffraction 96

2-7.12 Slope Diffraction 98

2-7.13 Corner Diffraction 99

2-7.14 Equivalent Currents 99

2-7.15 Diffraction from Curved Surfaces 99

References 100

3 Arrays 102

3-1 Two-Element Array 104

3-2 Linear Array of N Elements 109

3-3 Hansen and Woodyard End-Fire Array 114

3-4 Phased Arrays 115

3-5 Grating Lobes 117

3-6 Multiple Beams 118

3-7 Planar Array 120

3-8 Grating Lobes in Planar Arrays 125

3-9 Mutual Impedance 127

3-10 Scan Blindness and Array Element Pattern 127

3-11 Compensating Array Feeding for Mutual Coupling 128

3-12 Array Gain 129

3-13 Arrays Using Arbitrarily Oriented Elements 133

References 135

4 Aperture Distributions and Array Synthesis 136

4-1 Amplitude Taper and Phase Error Efficiencies 137

4-1.1 Separable Rectangular Aperture Distributions 139

4-1.2 Circularly Symmetrical Distributions 140

4-2 Simple Linear Distributions 140

4-3 Taylor One-Parameter Linear Distribution 144

4-4 Taylor n Line Distribution 147

4-5 Taylor Line Distribution with Edge Nulls 152

4-6 Elliott’s Method for Modified Taylor Distribution and Arbitrary Sidelobes 155

4-7 Bayliss Line-Source Distribution 158

4-8 Woodward Line-Source Synthesis 162

4-9 Schelkunoff’s Unit-Circle Method 164

4-10 Dolph–Chebyshev Linear Array 170

4-11 Villeneuve Array Synthesis 172

4-12 Zero Sampling of Continuous Distributions 173

4-13 Fourier Series Shaped-Beam Array Synthesis 175

4-14 Orchard Method of Array Synthesis 178

4-15 Series-Fed Array and Traveling-Wave Feed Synthesis 188

4-16 Circular Apertures 191

4-17 Circular Gaussian Distribution 194

4-18 Hansen Single-Parameter Circular Distribution 195

4-19 Taylor Circular-Aperture Distribution 196

4-20 Bayliss Circular-Aperture Distribution 200

4-21 Planar Arrays 202

4-22 Convolution Technique for Planar Arrays 203

4-23 Aperture Blockage 208

4-24 Quadratic Phase Error 211

4-25 Beam Efficiency of Circular Apertures with Axisymmetric Distribution 214

References 215

5 Dipoles Slots and Loops 217

5-1 Standing-Wave Currents 218

5-2 Radiation Resistance (Conductance) 220

5-3 Babinet–Booker Principle 222

5-4 Dipoles Located Over a Ground Plane 223

5-5 Dipole Mounted Over Finite Ground Planes 225

5-6 Crossed Dipoles for Circular Polarization 231

5-7 Super Turnstile or Batwing Antenna 234

5-8 Corner Reflector 237

5-9 Monopole 242

5-10 Sleeve Antenna 242

5-11 Cavity-Mounted Dipole Antenna 245

5-12 Folded Dipole 247

5-13 Shunt Feeding 248

5-14 Discone Antenna 249

5-15 Baluns 251

5-15.1 Folded Balun 252

5-15.2 Sleeve or Bazooka Baluns 253

5-15.3 Split Coax Balun 255

5-15.4 Half-Wavelength Balun 256

5-15.5 Candelabra Balun 256

5-15.6 Ferrite Core Baluns 256

5-15.7 Ferrite Candelabra Balun 258

5-15.8 Transformer Balun 258

5-15.9 Split Tapered Coax Balun 259

5-15.10 Natural Balun 260

5-16 Small Loop 260

5-17 Alford Loop 261

5-18 Resonant Loop 263

5-19 Quadrifilar Helix 264

5-20 Cavity-Backed Slots 266

5-21 Stripline Series Slots 266

5-22 Shallow-Cavity Crossed-Slot Antenna 269

5-23 Waveguide-Fed Slots 270

5-24 Rectangular-Waveguide Wall Slots 271

5-25 Circular-Waveguide Slots 276

5-26 Waveguide Slot Arrays 278

5-26.1 Nonresonant Array 279

5-26.2 Resonant Array 282

5-26.3 Improved Design Methods 282

References 283

6 Microstrip Antennas 285

6-1 Microstrip Antenna Patterns 287

6-2 Microstrip Patch Bandwidth and Surface-Wave Efficiency 293

6-3 Rectangular Microstrip Patch Antenna 299

6-4 Quarter-Wave Patch Antenna 310

6-5 Circular Microstrip Patch 313

6-6 Circularly Polarized Patch Antennas 316

6-7 Compact Patches 319

6-8 Directly Fed Stacked Patches 323

6-9 Aperture-Coupled Stacked Patches 325

6-10 Patch Antenna Feed Networks 327

6-11 Series-Fed Array 329

6-12 Microstrip Dipole 330

6-13 Microstrip Franklin Array 332

6-14 Microstrip Antenna Mechanical Properties 333

References 334

7 Horn Antennas 336

7-1 Rectangular Horn (Pyramidal) 337

7-1.1 Beamwidth 341

7-1.2 Optimum Rectangular Horn 343

7-1.3 Designing to Given Beamwidths 346

7-1.4 Phase Center 347

7-2 Circular-Aperture Horn 348

7-2.1 Beamwidth 350

7-2.2 Phase Center 352

7-3 Circular (Conical) Corrugated Horn 353

7-3.1 Scalar Horn 357

7-3.2 Corrugation Design 357

7-3.3 Choke Horns 358

7-3.4 Rectangular Corrugated Horns 359

7-4 Corrugated Ground Plane 359

7-5 Gaussian Beam 362

7-6 Ridged Waveguide Horns 365

7-7 Box Horn 372

7-8 T-Bar-Fed Slot Antenna 374

7-9 Multimode Circular Horn 376

7-10 Biconical Horn 376

References 378

8 Reflector Antennas 380

8-1 Paraboloidal Reflector Geometry 381

8-2 Paraboloidal Reflector Aperture Distribution Losses 383

8-3 Approximate Spillover and Amplitude Taper Trade-offs 385

8-4 Phase Error Losses and Axial Defocusing 387

8-5 Astigmatism 389

8-6 Feed Scanning 390

8-7 Random Phase Errors 393

8-8 Focal Plane Fields 396

8-9 Feed Mismatch Due to the Reflector 397

8-10 Front-to-Back Ratio 399

8-11 Offset-Fed Reflector 399

8-12 Reflections from Conic Sections 405

8-13 Dual-Reflector Antennas 408

8-13.1 Feed Blockage 410

8-13.2 Diffraction Loss 413

8-13.3 Cassegrain Tolerances 414

8-14 Feed and Subreflector Support Strut Radiation 416

8-15 Gain/Noise Temperature of a Dual Reflector 421

8-16 Displaced-Axis Dual Reflector 421

8-17 Offset-Fed Dual Reflector 424

8-18 Horn Reflector and Dragonian Dual Reflector 427

8-19 Spherical Reflector 429

8-20 Shaped Reflectors 432

8-20.1 Cylindrical Reflector Synthesis 433

8-20.2 Circularly Symmetrical Reflector Synthesis 434

8-20.3 Doubly Curved Reflector for Shaped Beams 437

8-20.4 Dual Shaped Reflectors 439

8-21 Optimization Synthesis of Shaped and Multiple-Beam Reflectors 442

References 443

9 Lens Antennas 447

9-1 Single Refracting Surface Lenses 448

9-2 Zoned Lenses 451

9-3 General Two-Surface Lenses 454

9-4 Single-Surface or Contact Lenses 459

9-5 Metal Plate Lenses 461

9-6 Surface Mismatch and Dielectric Losses 463

9-7 Feed Scanning of a Hyperboloidal Lens 464

9-8 Dual-Surface Lenses 465

9-8.1 Coma-Free Axisymmetric Dielectric Lens 466

9-8.2 Specified Aperture Distribution Axisymmetric Dielectric Lens 468

9-9 Bootlace Lens 470

9-10 Luneburg Lens 472

References 472

10 Traveling-Wave Antennas 474

10-1 General Traveling Waves 475

10-1.1 Slow Wave 478

10-1.2 Fast Waves (Leaky Wave Structure) 480

10-2 Long Wire Antennas 481

10-2.1 Beverage Antenna 481

10-2.2 V Antenna 482

10-2.3 Rhombic Antenna 483

10-3 Yagi–Uda Antennas 485

10-3.1 Multiple-Feed Yagi–Uda Antennas 492

10-3.2 Resonant Loop Yagi–Uda Antennas 495

10-4 Corrugated Rod (Cigar) Antenna 497

10-5 Dielectric Rod (Polyrod) Antenna 499

10-6 Helical Wire Antenna 502

10-6.1 Helical Modes 503

10-6.2 Axial Mode 504

10-6.3 Feed of a Helical Antenna 506

10-6.4 Long Helical Antenna 507

10-6.5 Short Helical Antenna 508

10-7 Short Backfire Antenna 509

10-8 Tapered Slot Antennas 512

10-9 Leaky Wave Structures 516

References 518

11 Frequency-Independent Antennas 521
Spiral Antennas 522

11-1 Modal Expansion of Antenna Patterns 524

11-2 Archimedean Spiral 526

11-3 Equiangular Spiral 527

11-4 Pattern Analysis of Spiral Antennas 530

11-5 Spiral Construction and Feeding 535

11-5.1 Spiral Construction 535

11-5.2 Balun Feed 536

11-5.3 Infinite Balun 538

11-5.4 Beamformer and Coaxial Line Feed 538

11-6 Spiral and Beamformer Measurements 538

11-7 Feed Network and Antenna Interaction 540

11-8 Modulated Arm Width Spiral 541

11-9 Conical Log Spiral Antenna 543

11-10 Mode 2 Conical Log Spiral Antenna 549

11-11 Feeding Conical Log Spirals 550
Log-Periodic Antennas 550

11-12 Log-Periodic Dipole Antenna 551

11-12.1 Feeding a Log-Periodic Dipole Antenna 556

11-12.2 Phase Center 558

11-12.3 Elevation Angle 559

11-12.4 Arrays of Log-Periodic Dipole Antennas 560

11-13 Other Log-Periodic Types 561

11-14 Log-Periodic Antenna Feeding Paraboloidal Reflector 563

11-15 V Log-periodic Array 567

11-16 Cavity-Backed Planar Log-Periodic Antennas 569

References 571

12 Phased Arrays 573

12-1 Fixed Phase Shifters (Phasers) 574

12-2 Quantization Lobes 578

12-3 Array Errors 580

12-4 Nonuniform and Random Element Existence Arrays 582

12-4.1 Linear Space Tapered Array 582

12-4.2 Circular Space Tapered Array 584

12-4.3 Statistically Thinned Array 587

12-5 Array Element Pattern 588

12-6 Feed Networks 590

12-6.1 Corporate Feed 590

12-6.2 Series Feed 592

12-6.3 Variable Power Divider and Phase Shifter 592

12-6.4 Butler Matrix 594

12-6.5 Space Feeding 596

12-6.6 Tapered Feed Network with Uniform-Amplitude Subarrays 597

12-7 Pattern Null Formation in Arbitrary Array 599

12-8 Phased Array Application to Communication Systems 601

12-9 Near-Field Measurements on Phased Arrays 602

References 604

Index 607

Modern Antenna Design

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    A Hardback by Thomas A. Milligan

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      View other formats and editions of Modern Antenna Design by Thomas A. Milligan

      Publisher: John Wiley & Sons Inc
      Publication Date: 29/07/2005
      ISBN13: 9780471457763, 978-0471457763
      ISBN10: 0471457760

      Description

      Book Synopsis
      • A practical book written for engineers who design and use antennas
      • The author has many years of hands on experience designing antennas that were used in such applications as the Venus and Mars missions of NASA
      • The book covers all important topics of modern antenna design for communications
      • Numerical methods will be included but only as much as are needed for practical applications


      Table of Contents

      Preface xv

      1 Properties of Antennas 1

      1-1 Antenna Radiation 2

      1-2 Gain 3

      1-3 Effective Area 6

      1-4 Path Loss 6

      1-5 Radar Range Equation and Cross Section 7

      1-6 Why Use an Antenna? 9

      1-7 Directivity 10

      1-8 Directivity Estimates 11

      1-8.1 Pencil Beam 11

      1-8.2 Butterfly or Omnidirectional Pattern 13

      1-9 Beam Efficiency 16

      1-10 Input-Impedance Mismatch Loss 17

      1-11 Polarization 18

      1-11.1 Circular Polarization Components 19

      1-11.2 Huygens Source Polarization 21

      1-11.3 Relations Between Bases 22

      1-11.4 Antenna Polarization Response 23

      1-11.5 Phase Response of Rotating Antennas 25

      1-11.6 Partial Gain 26

      1-11.7 Measurement of Circular Polarization Using Amplitude Only 26

      1-12 Vector Effective Height 27

      1-13 Antenna Factor 29

      1-14 Mutual Coupling Between Antennas 29

      1.15 Antenna Noise Temperature 30

      1-16 Communication Link Budget and Radar Range 35

      1-17 Multipath 36

      1-18 Propagation Over Soil 37

      1-19 Multipath Fading 39

      References 40

      2 Radiation Structures and Numerical Methods 42

      2-1 Auxiliary Vector Potentials 43

      2-1.1 Radiation from Electric Currents 44

      2-1.2 Radiation from Magnetic Currents 49

      2-2 Apertures: Huygens Source Approximation 51

      2-2.1 Near- and Far-Field Regions 55

      2-2.2 Huygens Source 57

      2-3 Boundary Conditions 57

      2-4 Physical Optics 59

      2-4.1 Radiated Fields Given Currents 59

      2-4.2 Applying Physical Optics 60

      2-4.3 Equivalent Currents 65

      2-4.4 Reactance Theorem and Mutual Coupling 66

      2-5 Method of Moments 67

      2-5.1 Use of the Reactance Theorem for the Method of Moments 68

      2-5.2 General Moments Method Approach 69

      2-5.3 Thin-Wire Moment Method Codes 71

      2-5.4 Surface and Volume Moment Method Codes 71

      2-5.5 Examples of Moment Method Models 72

      2-6 Finite-Difference Time-Domain Method 76

      2-6.1 Implementation 76

      2-6.2 Central Difference Derivative 77

      2-6.3 Finite-Difference Maxwell’s Equations 77

      2-6.4 Time Step for Stability 79

      2-6.5 Numerical Dispersion and Stability 80

      2-6.6 Computer Storage and Execution Times 80

      2-6.7 Excitation 81

      2-6.8 Waveguide Horn Example 83

      2-7 Ray Optics and the Geometric Theory of Diffraction 84

      2-7.1 Fermat’s Principle 85

      2-7.2 H -Plane Pattern of a Dipole Located Over a Finite Strip 85

      2-7.3 E-Plane Pattern of a Rectangular Horn 87

      2-7.4 H -Plane Pattern of a Rectangular Horn 89

      2-7.5 Amplitude Variations Along a Ray 90

      2-7.6 Extra Phase Shift Through Caustics 93

      2-7.7 Snell’s Laws and Reflection 93

      2-7.8 Polarization Effects in Reflections 94

      2-7.9 Reflection from a Curved Surface 94

      2-7.10 Ray Tracing 96

      2-7.11 Edge Diffraction 96

      2-7.12 Slope Diffraction 98

      2-7.13 Corner Diffraction 99

      2-7.14 Equivalent Currents 99

      2-7.15 Diffraction from Curved Surfaces 99

      References 100

      3 Arrays 102

      3-1 Two-Element Array 104

      3-2 Linear Array of N Elements 109

      3-3 Hansen and Woodyard End-Fire Array 114

      3-4 Phased Arrays 115

      3-5 Grating Lobes 117

      3-6 Multiple Beams 118

      3-7 Planar Array 120

      3-8 Grating Lobes in Planar Arrays 125

      3-9 Mutual Impedance 127

      3-10 Scan Blindness and Array Element Pattern 127

      3-11 Compensating Array Feeding for Mutual Coupling 128

      3-12 Array Gain 129

      3-13 Arrays Using Arbitrarily Oriented Elements 133

      References 135

      4 Aperture Distributions and Array Synthesis 136

      4-1 Amplitude Taper and Phase Error Efficiencies 137

      4-1.1 Separable Rectangular Aperture Distributions 139

      4-1.2 Circularly Symmetrical Distributions 140

      4-2 Simple Linear Distributions 140

      4-3 Taylor One-Parameter Linear Distribution 144

      4-4 Taylor n Line Distribution 147

      4-5 Taylor Line Distribution with Edge Nulls 152

      4-6 Elliott’s Method for Modified Taylor Distribution and Arbitrary Sidelobes 155

      4-7 Bayliss Line-Source Distribution 158

      4-8 Woodward Line-Source Synthesis 162

      4-9 Schelkunoff’s Unit-Circle Method 164

      4-10 Dolph–Chebyshev Linear Array 170

      4-11 Villeneuve Array Synthesis 172

      4-12 Zero Sampling of Continuous Distributions 173

      4-13 Fourier Series Shaped-Beam Array Synthesis 175

      4-14 Orchard Method of Array Synthesis 178

      4-15 Series-Fed Array and Traveling-Wave Feed Synthesis 188

      4-16 Circular Apertures 191

      4-17 Circular Gaussian Distribution 194

      4-18 Hansen Single-Parameter Circular Distribution 195

      4-19 Taylor Circular-Aperture Distribution 196

      4-20 Bayliss Circular-Aperture Distribution 200

      4-21 Planar Arrays 202

      4-22 Convolution Technique for Planar Arrays 203

      4-23 Aperture Blockage 208

      4-24 Quadratic Phase Error 211

      4-25 Beam Efficiency of Circular Apertures with Axisymmetric Distribution 214

      References 215

      5 Dipoles Slots and Loops 217

      5-1 Standing-Wave Currents 218

      5-2 Radiation Resistance (Conductance) 220

      5-3 Babinet–Booker Principle 222

      5-4 Dipoles Located Over a Ground Plane 223

      5-5 Dipole Mounted Over Finite Ground Planes 225

      5-6 Crossed Dipoles for Circular Polarization 231

      5-7 Super Turnstile or Batwing Antenna 234

      5-8 Corner Reflector 237

      5-9 Monopole 242

      5-10 Sleeve Antenna 242

      5-11 Cavity-Mounted Dipole Antenna 245

      5-12 Folded Dipole 247

      5-13 Shunt Feeding 248

      5-14 Discone Antenna 249

      5-15 Baluns 251

      5-15.1 Folded Balun 252

      5-15.2 Sleeve or Bazooka Baluns 253

      5-15.3 Split Coax Balun 255

      5-15.4 Half-Wavelength Balun 256

      5-15.5 Candelabra Balun 256

      5-15.6 Ferrite Core Baluns 256

      5-15.7 Ferrite Candelabra Balun 258

      5-15.8 Transformer Balun 258

      5-15.9 Split Tapered Coax Balun 259

      5-15.10 Natural Balun 260

      5-16 Small Loop 260

      5-17 Alford Loop 261

      5-18 Resonant Loop 263

      5-19 Quadrifilar Helix 264

      5-20 Cavity-Backed Slots 266

      5-21 Stripline Series Slots 266

      5-22 Shallow-Cavity Crossed-Slot Antenna 269

      5-23 Waveguide-Fed Slots 270

      5-24 Rectangular-Waveguide Wall Slots 271

      5-25 Circular-Waveguide Slots 276

      5-26 Waveguide Slot Arrays 278

      5-26.1 Nonresonant Array 279

      5-26.2 Resonant Array 282

      5-26.3 Improved Design Methods 282

      References 283

      6 Microstrip Antennas 285

      6-1 Microstrip Antenna Patterns 287

      6-2 Microstrip Patch Bandwidth and Surface-Wave Efficiency 293

      6-3 Rectangular Microstrip Patch Antenna 299

      6-4 Quarter-Wave Patch Antenna 310

      6-5 Circular Microstrip Patch 313

      6-6 Circularly Polarized Patch Antennas 316

      6-7 Compact Patches 319

      6-8 Directly Fed Stacked Patches 323

      6-9 Aperture-Coupled Stacked Patches 325

      6-10 Patch Antenna Feed Networks 327

      6-11 Series-Fed Array 329

      6-12 Microstrip Dipole 330

      6-13 Microstrip Franklin Array 332

      6-14 Microstrip Antenna Mechanical Properties 333

      References 334

      7 Horn Antennas 336

      7-1 Rectangular Horn (Pyramidal) 337

      7-1.1 Beamwidth 341

      7-1.2 Optimum Rectangular Horn 343

      7-1.3 Designing to Given Beamwidths 346

      7-1.4 Phase Center 347

      7-2 Circular-Aperture Horn 348

      7-2.1 Beamwidth 350

      7-2.2 Phase Center 352

      7-3 Circular (Conical) Corrugated Horn 353

      7-3.1 Scalar Horn 357

      7-3.2 Corrugation Design 357

      7-3.3 Choke Horns 358

      7-3.4 Rectangular Corrugated Horns 359

      7-4 Corrugated Ground Plane 359

      7-5 Gaussian Beam 362

      7-6 Ridged Waveguide Horns 365

      7-7 Box Horn 372

      7-8 T-Bar-Fed Slot Antenna 374

      7-9 Multimode Circular Horn 376

      7-10 Biconical Horn 376

      References 378

      8 Reflector Antennas 380

      8-1 Paraboloidal Reflector Geometry 381

      8-2 Paraboloidal Reflector Aperture Distribution Losses 383

      8-3 Approximate Spillover and Amplitude Taper Trade-offs 385

      8-4 Phase Error Losses and Axial Defocusing 387

      8-5 Astigmatism 389

      8-6 Feed Scanning 390

      8-7 Random Phase Errors 393

      8-8 Focal Plane Fields 396

      8-9 Feed Mismatch Due to the Reflector 397

      8-10 Front-to-Back Ratio 399

      8-11 Offset-Fed Reflector 399

      8-12 Reflections from Conic Sections 405

      8-13 Dual-Reflector Antennas 408

      8-13.1 Feed Blockage 410

      8-13.2 Diffraction Loss 413

      8-13.3 Cassegrain Tolerances 414

      8-14 Feed and Subreflector Support Strut Radiation 416

      8-15 Gain/Noise Temperature of a Dual Reflector 421

      8-16 Displaced-Axis Dual Reflector 421

      8-17 Offset-Fed Dual Reflector 424

      8-18 Horn Reflector and Dragonian Dual Reflector 427

      8-19 Spherical Reflector 429

      8-20 Shaped Reflectors 432

      8-20.1 Cylindrical Reflector Synthesis 433

      8-20.2 Circularly Symmetrical Reflector Synthesis 434

      8-20.3 Doubly Curved Reflector for Shaped Beams 437

      8-20.4 Dual Shaped Reflectors 439

      8-21 Optimization Synthesis of Shaped and Multiple-Beam Reflectors 442

      References 443

      9 Lens Antennas 447

      9-1 Single Refracting Surface Lenses 448

      9-2 Zoned Lenses 451

      9-3 General Two-Surface Lenses 454

      9-4 Single-Surface or Contact Lenses 459

      9-5 Metal Plate Lenses 461

      9-6 Surface Mismatch and Dielectric Losses 463

      9-7 Feed Scanning of a Hyperboloidal Lens 464

      9-8 Dual-Surface Lenses 465

      9-8.1 Coma-Free Axisymmetric Dielectric Lens 466

      9-8.2 Specified Aperture Distribution Axisymmetric Dielectric Lens 468

      9-9 Bootlace Lens 470

      9-10 Luneburg Lens 472

      References 472

      10 Traveling-Wave Antennas 474

      10-1 General Traveling Waves 475

      10-1.1 Slow Wave 478

      10-1.2 Fast Waves (Leaky Wave Structure) 480

      10-2 Long Wire Antennas 481

      10-2.1 Beverage Antenna 481

      10-2.2 V Antenna 482

      10-2.3 Rhombic Antenna 483

      10-3 Yagi–Uda Antennas 485

      10-3.1 Multiple-Feed Yagi–Uda Antennas 492

      10-3.2 Resonant Loop Yagi–Uda Antennas 495

      10-4 Corrugated Rod (Cigar) Antenna 497

      10-5 Dielectric Rod (Polyrod) Antenna 499

      10-6 Helical Wire Antenna 502

      10-6.1 Helical Modes 503

      10-6.2 Axial Mode 504

      10-6.3 Feed of a Helical Antenna 506

      10-6.4 Long Helical Antenna 507

      10-6.5 Short Helical Antenna 508

      10-7 Short Backfire Antenna 509

      10-8 Tapered Slot Antennas 512

      10-9 Leaky Wave Structures 516

      References 518

      11 Frequency-Independent Antennas 521
      Spiral Antennas 522

      11-1 Modal Expansion of Antenna Patterns 524

      11-2 Archimedean Spiral 526

      11-3 Equiangular Spiral 527

      11-4 Pattern Analysis of Spiral Antennas 530

      11-5 Spiral Construction and Feeding 535

      11-5.1 Spiral Construction 535

      11-5.2 Balun Feed 536

      11-5.3 Infinite Balun 538

      11-5.4 Beamformer and Coaxial Line Feed 538

      11-6 Spiral and Beamformer Measurements 538

      11-7 Feed Network and Antenna Interaction 540

      11-8 Modulated Arm Width Spiral 541

      11-9 Conical Log Spiral Antenna 543

      11-10 Mode 2 Conical Log Spiral Antenna 549

      11-11 Feeding Conical Log Spirals 550
      Log-Periodic Antennas 550

      11-12 Log-Periodic Dipole Antenna 551

      11-12.1 Feeding a Log-Periodic Dipole Antenna 556

      11-12.2 Phase Center 558

      11-12.3 Elevation Angle 559

      11-12.4 Arrays of Log-Periodic Dipole Antennas 560

      11-13 Other Log-Periodic Types 561

      11-14 Log-Periodic Antenna Feeding Paraboloidal Reflector 563

      11-15 V Log-periodic Array 567

      11-16 Cavity-Backed Planar Log-Periodic Antennas 569

      References 571

      12 Phased Arrays 573

      12-1 Fixed Phase Shifters (Phasers) 574

      12-2 Quantization Lobes 578

      12-3 Array Errors 580

      12-4 Nonuniform and Random Element Existence Arrays 582

      12-4.1 Linear Space Tapered Array 582

      12-4.2 Circular Space Tapered Array 584

      12-4.3 Statistically Thinned Array 587

      12-5 Array Element Pattern 588

      12-6 Feed Networks 590

      12-6.1 Corporate Feed 590

      12-6.2 Series Feed 592

      12-6.3 Variable Power Divider and Phase Shifter 592

      12-6.4 Butler Matrix 594

      12-6.5 Space Feeding 596

      12-6.6 Tapered Feed Network with Uniform-Amplitude Subarrays 597

      12-7 Pattern Null Formation in Arbitrary Array 599

      12-8 Phased Array Application to Communication Systems 601

      12-9 Near-Field Measurements on Phased Arrays 602

      References 604

      Index 607

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