Description

Book Synopsis


Table of Contents

Preface xvi

1 Introduction 1

1.1 Historical Perspective 1

1.1.1 Need for Fiber-Optic Communications 2

1.1.2 Evolution of Lightwave Systems 4

1.2 Basic Concepts 8

1.2.1 Analog and Digital Signals 8

1.2.2 Channel Multiplexing 11

1.2.3 Modulation Formats 13

1.3 Optical Communication Systems 16

1.4 Lightwave System Components 18

1.4.1 Optical Fibers as a Communication Channel 18

1.4.2 Optical Transmitters 18

1.4.3 Optical Receivers 19

Problems 20

References 21

2 Optical Fibers 24

2.1 Geometrical-Optics Description 24

2.1.1 Step-Index Fibers 25

2.1.2 Graded-Index Fibers 27

2.2 Wave Propagation 29

2.2.1 Maxwell’s Equations 29

2.2.2 Fiber Modes 31

2.2.3 Single-Mode Fibers 34

2.3 Dispersion in Single-Mode Fibers 37

2.3.1 Group-Velocity Dispersion 38

2.3.2 Material Dispersion 39

2.3.3 Waveguide Dispersion 40

2.3.4 Higher-Order Dispersion 41

2.3.5 Polarization-Mode Dispersion 43

2.4 Dispersion-Induced Limitations 44

2.4.1 Basic Propagation Equation 45

2.4.2 Chirped Gaussian Pulses 46

2.4.3 Limitations on the Bit Rate 49

2.5 Fiber Losses 52

2.5.1 Attenuation Coefficient 52

2.5.2 Material Absorption 53

2.5.3 Rayleigh Scattering 54

2.5.4 Waveguide Imperfections 55

2.6 Nonlinear Optical Effects 56

2.6.1 Stimulated Light Scattering 56

2.6.2 Nonlinear Phase Modulation 60

2.6.3 Four-Wave Mixing 63

2.7 Fiber Design and Fabrication 64

2.7.1 Silica Fibers 64

2.7.2 Plastic Optical Fibers 67

2.7.3 Cables and Connectors 69

Problems 70

References 72

3 Optical Transmitters 75

3.1 Semiconductor Laser Physics 75

3.1.1 Spontaneous and Stimulated Emissions 76

3.1.2 Nonradiative Recombination 77

3.1.3 Optical Gain 78

3.1.4 Feedback and Laser Threshold 80

3.1.5 Laser Structures and Modes 81

3.2 Single-Mode Semiconductor Lasers 83

3.2.1 Distributed Feedback Lasers 83

3.2.2 Coupled-Cavity Semiconductor Lasers 85

3.2.3 Tunable Semiconductor Lasers 86

3.2.4 Vertical-Cavity Surface-Emitting Lasers 88

3.3 Semiconductor Laser Characteristics 89

3.3.1 CW Characteristics 89

3.3.2 Modulation Bandwidth 92

3.3.3 Relative Intensity Noise 94

3.3.4 Spectral Linewidth 97

3.4 Modulation Techniques 98

3.4.1 Direct Modulation 99

3.4.2 External Modulation 100

3.5 Light-Emitting Diodes 103

3.5.1 LED Characteristics 104

3.5.2 LED Structures 106

3.6 Transmitter Design 108

3.6.1 Source–Fiber Coupling 108

3.6.2 Driving Circuitry 110

3.6.3 Reliability and Packaging 111

Problems 113

References 115

4 Optical Receivers 119

4.1 Basic Concepts 119

4.1.1 Responsivity and Quantum Efficiency 119

4.1.2 Rise Time and Bandwidth 121

4.2 Common Photodetectors 122

4.2.1 p–n Photodiodes 122

4.2.2 p–i–n Photodiodes 124

4.2.3 Avalanche Photodiodes 127

4.2.4 MSM Photodetectors 133

4.3 Receiver Design 135

4.3.1 The Front End 135

4.3.2 The Linear Channel 137

4.3.3 Data-Recovery Section 138

4.3.4 Integrated Receivers 139

4.4 Receiver Noise 141

4.4.1 Noise Mechanisms 141

4.4.2 SNR of p–i–n Receivers 143

4.4.3 SNR of APD Receivers 144

4.5 Coherent Detection 148

4.5.1 Local Oscillator 148

4.5.2 Homodyne Detection 149

4.5.3 Heterodyne Detection 150

4.5.4 Signal-to-Noise Ratio 150

4.6 Receiver Sensitivity 151

4.6.1 Bit-Error Rate 151

4.6.2 Minimum Received Power 154

4.6.3 Quantum Limit of Photodetection 156

4.7 Sensitivity Degradation 157

4.7.1 Extinction Ratio 157

4.7.2 Intensity Noise 158

4.7.3 Timing Jitter 160

4.8 Receiver Performance 162

Problems 164

References 166

5 Lightwave Systems 170

5.1 System Architectures 170

5.1.1 Point-to-Point Links 170

5.1.2 Distribution Networks 172

5.1.3 Local-Area Networks 173

5.2 Design Guidelines 175

5.2.1 Loss-Limited Lightwave Systems 175

5.2.2 Dispersion-Limited Lightwave Systems 176

5.2.3 Power Budget 177

5.2.4 Rise-Time Budget 179

5.3 Long-Haul Systems 181

5.3.1 Performance-Limiting Factors 181

5.3.2 Terrestrial Lightwave Systems 183

5.3.3 Undersea Lightwave Systems 186

5.4 Sources of Power Penalty 188

5.4.1 Modal Noise 188

5.4.2 Mode-Partition Noise 190

5.4.3 Reflection Feedback and Noise 191

5.4.4 Dispersive Pulse Broadening 194

5.4.5 Frequency Chirping 195

5.4.6 Eye-Closure Penalty 197

5.5 Forward Error Correction 198

5.5.1 Error-Correcting Codes 198

5.5.2 Coding Gain 199

5.6 Computer-Aided Design 200

Problems 202

References 204

6 Multichannel Systems 208

6.1 WDM Systems and Networks 208

6.1.1 High-Capacity Point-to-Point Links 209

6.1.2 Wide-Area and Metro-Area Networks 212

6.1.3 Multiple-Access WDM Networks 215

6.2 WDM Components 216

6.2.1 Optical Filters 217

6.2.2 Multiplexers and Demultiplexers 222

6.2.3 Add–Drop Multiplexers 224

6.2.4 Star Couplers 227

6.2.5 Wavelength Routers 228

6.2.6 WDM Transmitters and Receivers 230

6.3 System Performance Issues 233

6.3.1 Linear Crosstalk 233

6.3.2 Raman-Induced Nonlinear Crosstalk 235

6.3.3 XPM-Induced Nonlinear Crosstalk 237

6.3.4 FWM-Induced Nonlinear Crosstalk 239

6.3.5 Other Design Issues 240

6.4 Time-Division Multiplexing 241

6.4.1 Time-Domain Multiplexing 242

6.4.2 Time-Domain Demultiplexing 243

6.4.3 Performance of OTDM Systems 245

6.5 Subcarrier Multiplexing 246

6.5.1 Analog and Digital SCM Systems 246

6.5.2 Orthogonal Frequency-Division multiplexing 248

6.6 Code-Division Multiplexing 250

6.6.1 Time-Domain Encoding 251

6.6.2 Frequency-Domain Encoding 253

Problems 255

References 257

7 Loss Management 264

7.1 Compensation of Fiber Losses 264

7.1.1 Periodic Amplification Scheme 265

7.1.2 Lumped Versus Distributed Amplification 267

7.1.3 Bidirectional Pumping Scheme 268

7.2 Erbium-Doped Fiber Amplifiers 269

7.2.1 Pumping and Gain Spectrum 269

7.2.2 Two-Level Model 270

7.2.3 Amplifier Noise 273

7.2.4 Multichannel Amplification 275

7.3 Raman Amplifiers 277

7.3.1 Raman Gain and Bandwidth 278

7.3.2 Raman-Induced Signal Gain 279

7.3.3 Multiple-Pump Raman Amplification 281

7.3.4 Noise Figure of Raman Amplifiers 283

7.4 Optical Signal-To-Noise Ratio 285

7.4.1 Lumped Amplification 285

7.4.2 Distributed Amplification 287

7.5 Electrical Signal-To-Noise Ratio 288

7.5.1 ASE-Induced Current Fluctuations 288

7.5.2 Impact of ASE on SNR 290

7.5.3 Noise Buildup in an Amplifier Chain 291

7.6 Receiver Sensitivity and Q Factor 292

7.6.1 Bit-Error Rate 292

7.6.2 Relation between Q Factor and Optical SNR 294

7.7 Role of Dispersive and Nonlinear Effects 295

7.7.1 Noise Growth through Modulation Instability 295

7.7.2 Noise-Induced Signal Degradation 297

7.7.3 Noise-Induced Energy Fluctuations 299

7.7.4 Noise-Induced Timing Jitter 300

7.8 Periodically Amplified Lightwave Systems 300

7.8.1 Numerical Approach 301

7.8.2 Optimum Launched Power 304

Problems 306

References 307

8 Dispersion Management 310

8.1 Dispersion Problem and Its Solution 310

8.2 Dispersion-Compensating Fibers 312

8.2.1 Conditions for Dispersion Compensation 312

8.2.2 Dispersion Maps 313

8.2.3 DCF Designs 315

8.3 Fiber Bragg Gratings 317

8.3.1 Constant-Period Gratings 318

8.3.2 Chirped Fiber Gratings 320

8.3.3 Sampled Gratings 322

8.4 Dispersion-Equalizing Filters 325

8.4.1 Gires–Tournois Filters 325

8.4.2 Mach–Zehnder and Other Filters 327

8.5 Optical Phase Conjugation 329

8.5.1 Principle of Operation 330

8.5.2 Compensation of Self-Phase Modulation 331

8.5.3 Generation of Phase-Conjugated Signal 332

8.6 Advanced Techniques 335

8.6.1 Tunable Dispersion Compensation 335

8.6.2 Higher-Order Dispersion Management 338

8.6.3 PMD Compensation 340

8.7 Electronic Dispersion Compensation 343

8.7.1 Pre-compensation at the Transmitter 343

8.7.2 Post-Compensation at the Receiver 347

Problems 349

References 351

9 Control of Nonlinear Effects 355

9.1 Impact of Fiber Nonlinearity 355

9.1.1 System Design Issues 356

9.1.2 Semianalytic Approach 359

9.1.3 Soliton and Pseudo-linear Regimes 361

9.2 Solitons in Optical Fibers 363

9.2.1 Properties of Optical Solitons 364

9.2.2 Loss-Managed Solitons 367

9.2.3 Dispersion-Managed Solitons 370

9.2.4 Timing Jitter 374

9.3 Pseudo-linear Lightwave Systems 378

9.3.1 Origin of Intrachannel Nonlinear Effects 378

9.3.2 Intrachannel Cross-Phase Modulation 380

9.3.3 Intrachannel Four-Wave Mixing 384

9.4 Management of Nonlinear Effects 387

9.4.1 Optimization of Dispersion Maps 387

9.4.2 Phase-Alternation Technique 390

9.4.3 Polarization Bit Interleaving 392

9.4.4 Optical Phase Conjugation 393

9.4.5 Phase-Sensitive Amplification 395

Problems 396

References 398

10 Coherent Lightwave Systems 402

10.1 Coherent Transmitters 403

10.1.1 Encoding of Optical Signals 403

10.1.2 Amplitude and Phase Modulators 405

10.1.3 Quadrature modulator 406

10.2 Coherent Receivers 408

10.2.1 Synchronous Heterodyne Demodulation 408

10.2.2 Asynchronous Heterodyne Demodulation 410

10.2.3 Optical Delay Demodulation 411

10.2.4 Phase Diversity and Polarization Diversity 413

10.3 Noise and Bit-Error Rate 415

10.3.1 Synchronous Heterodyne Receivers 415

10.3.2 Asynchronous Heterodyne Receivers 418

10.3.3 Receivers with Optical Delay Demodulation 419

10.4 Sources of Performance Degradation 421

10.4.1 Intensity Noise of Lasers 421

10.4.2 Phase Noise of Lasers 422

10.4.3 Effects of Fiber’s Dispersion 424

10.5 Management of Nonlinear Effects 425

10.5.1 Nonlinear Phase Noise 426

10.5.2 Compensation of Nonlinear Phase Noise 429

10.5.3 Nonlinear Interference Noise 432

10.6 Digital Signal Processing 435

10.6.1 Removal of Intermediate Frequency and Phase fluctuations 435

10.6.2 Compensation of GVD and PMD 437

10.6.3 Digital Backward Propagation 440

10.7 Experimental Progress 442

10.7.1 DPSK and DQPSK formats 442

10.7.2 QPSK and QAM formats 445

10.7.3 Coherent Orthogonal FDM 448

10.7.4 Optical Superchannels 450

10.8 Channel Capacity 452

Problems 454

References 455

11 Space-Division Multiplexing 462

11.1 SDM Technique 462

11.2 Modes of Optical Fibers 464

11.2.1 Step-Index Fibers 464

11.2.2 Graded-Index Fibers 467

11.2.3 Multicore Fibers 469

11.3 SDM Components 471

11.3.1 Design of SDM Fibers 471

11.3.2 Spatial Multiplexers and Demultiplexers 474

11.3.3 Multicore/Multimode Fiber Amplifiers 479

11.3.4 Other SDM Components 481

11.4 Modeling of SDM Systems 482

11.4.1 Multimode Coupled Nonlinear Equations 483

11.4.2 Averaged Multimode Nonlinear Equations 486

11.4.3 Nonlinear Effects in MCFs 488

11.4.4 Nonlinear Effects in MMFs 491

11.5 Experimental Progress 494

11.5.1 MCF-Based SDM Systems 494

11.5.2 MMF-Based SDM Systems 496

11.5.3 High-Capacity SDM Systems 498

Problems 499

References 500

12 Advanced Topics 505

12.1 Optical Signal Processing 506

12.1.1 Nonlinear Optical Loop Mirrors 506

12.1.2 Parametric Amplifiers 510

12.1.3 Semiconductor Optical Amplifiers 513

12.1.4 Bistable Optical Devices 516

12.1.5 Optical Flip–Flops 518

12.2 Wavelength Conversion 522

12.2.1 XPM-Based Wavelength Converters 522

12.2.2 FWM-Based Wavelength Converters 525

12.2.3 Semiconductor Waveguides 528

12.2.4 SOA-Based Wavelength Converters 530

12.3 Ultrafast Optical Switching 532

12.3.1 Time-Domain Demultiplexing 532

12.3.2 Packet Switching 536

12.3.3 Format Conversion 538

12.4 Optical Regeneration 540

12.4.1 2R Regenerators 541

12.4.2 3R Regenerators 545

12.4.3 Regeneration of Phase-Encoded Signals 549

12.5 Nonlinear Frequency-Division Multiplexing 552

12.5.1 Nonlinear Fourier Transform 552

12.5.2 Practical Implementation 554

Problems 556

References 557

A System of Units 566

B Acronyms 568

C Formula for Pulse Broadening 572

D Nyquist Pulses 574

References 575

Index 576

FiberOptic Communication Systems

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    A Hardback by Govind P. Agrawal


      View other formats and editions of FiberOptic Communication Systems by Govind P. Agrawal

      Publisher: John Wiley & Sons Inc
      Publication Date: 22/06/2021
      ISBN13: 9781119737360, 978-1119737360
      ISBN10: 1119737362

      Description

      Book Synopsis


      Table of Contents

      Preface xvi

      1 Introduction 1

      1.1 Historical Perspective 1

      1.1.1 Need for Fiber-Optic Communications 2

      1.1.2 Evolution of Lightwave Systems 4

      1.2 Basic Concepts 8

      1.2.1 Analog and Digital Signals 8

      1.2.2 Channel Multiplexing 11

      1.2.3 Modulation Formats 13

      1.3 Optical Communication Systems 16

      1.4 Lightwave System Components 18

      1.4.1 Optical Fibers as a Communication Channel 18

      1.4.2 Optical Transmitters 18

      1.4.3 Optical Receivers 19

      Problems 20

      References 21

      2 Optical Fibers 24

      2.1 Geometrical-Optics Description 24

      2.1.1 Step-Index Fibers 25

      2.1.2 Graded-Index Fibers 27

      2.2 Wave Propagation 29

      2.2.1 Maxwell’s Equations 29

      2.2.2 Fiber Modes 31

      2.2.3 Single-Mode Fibers 34

      2.3 Dispersion in Single-Mode Fibers 37

      2.3.1 Group-Velocity Dispersion 38

      2.3.2 Material Dispersion 39

      2.3.3 Waveguide Dispersion 40

      2.3.4 Higher-Order Dispersion 41

      2.3.5 Polarization-Mode Dispersion 43

      2.4 Dispersion-Induced Limitations 44

      2.4.1 Basic Propagation Equation 45

      2.4.2 Chirped Gaussian Pulses 46

      2.4.3 Limitations on the Bit Rate 49

      2.5 Fiber Losses 52

      2.5.1 Attenuation Coefficient 52

      2.5.2 Material Absorption 53

      2.5.3 Rayleigh Scattering 54

      2.5.4 Waveguide Imperfections 55

      2.6 Nonlinear Optical Effects 56

      2.6.1 Stimulated Light Scattering 56

      2.6.2 Nonlinear Phase Modulation 60

      2.6.3 Four-Wave Mixing 63

      2.7 Fiber Design and Fabrication 64

      2.7.1 Silica Fibers 64

      2.7.2 Plastic Optical Fibers 67

      2.7.3 Cables and Connectors 69

      Problems 70

      References 72

      3 Optical Transmitters 75

      3.1 Semiconductor Laser Physics 75

      3.1.1 Spontaneous and Stimulated Emissions 76

      3.1.2 Nonradiative Recombination 77

      3.1.3 Optical Gain 78

      3.1.4 Feedback and Laser Threshold 80

      3.1.5 Laser Structures and Modes 81

      3.2 Single-Mode Semiconductor Lasers 83

      3.2.1 Distributed Feedback Lasers 83

      3.2.2 Coupled-Cavity Semiconductor Lasers 85

      3.2.3 Tunable Semiconductor Lasers 86

      3.2.4 Vertical-Cavity Surface-Emitting Lasers 88

      3.3 Semiconductor Laser Characteristics 89

      3.3.1 CW Characteristics 89

      3.3.2 Modulation Bandwidth 92

      3.3.3 Relative Intensity Noise 94

      3.3.4 Spectral Linewidth 97

      3.4 Modulation Techniques 98

      3.4.1 Direct Modulation 99

      3.4.2 External Modulation 100

      3.5 Light-Emitting Diodes 103

      3.5.1 LED Characteristics 104

      3.5.2 LED Structures 106

      3.6 Transmitter Design 108

      3.6.1 Source–Fiber Coupling 108

      3.6.2 Driving Circuitry 110

      3.6.3 Reliability and Packaging 111

      Problems 113

      References 115

      4 Optical Receivers 119

      4.1 Basic Concepts 119

      4.1.1 Responsivity and Quantum Efficiency 119

      4.1.2 Rise Time and Bandwidth 121

      4.2 Common Photodetectors 122

      4.2.1 p–n Photodiodes 122

      4.2.2 p–i–n Photodiodes 124

      4.2.3 Avalanche Photodiodes 127

      4.2.4 MSM Photodetectors 133

      4.3 Receiver Design 135

      4.3.1 The Front End 135

      4.3.2 The Linear Channel 137

      4.3.3 Data-Recovery Section 138

      4.3.4 Integrated Receivers 139

      4.4 Receiver Noise 141

      4.4.1 Noise Mechanisms 141

      4.4.2 SNR of p–i–n Receivers 143

      4.4.3 SNR of APD Receivers 144

      4.5 Coherent Detection 148

      4.5.1 Local Oscillator 148

      4.5.2 Homodyne Detection 149

      4.5.3 Heterodyne Detection 150

      4.5.4 Signal-to-Noise Ratio 150

      4.6 Receiver Sensitivity 151

      4.6.1 Bit-Error Rate 151

      4.6.2 Minimum Received Power 154

      4.6.3 Quantum Limit of Photodetection 156

      4.7 Sensitivity Degradation 157

      4.7.1 Extinction Ratio 157

      4.7.2 Intensity Noise 158

      4.7.3 Timing Jitter 160

      4.8 Receiver Performance 162

      Problems 164

      References 166

      5 Lightwave Systems 170

      5.1 System Architectures 170

      5.1.1 Point-to-Point Links 170

      5.1.2 Distribution Networks 172

      5.1.3 Local-Area Networks 173

      5.2 Design Guidelines 175

      5.2.1 Loss-Limited Lightwave Systems 175

      5.2.2 Dispersion-Limited Lightwave Systems 176

      5.2.3 Power Budget 177

      5.2.4 Rise-Time Budget 179

      5.3 Long-Haul Systems 181

      5.3.1 Performance-Limiting Factors 181

      5.3.2 Terrestrial Lightwave Systems 183

      5.3.3 Undersea Lightwave Systems 186

      5.4 Sources of Power Penalty 188

      5.4.1 Modal Noise 188

      5.4.2 Mode-Partition Noise 190

      5.4.3 Reflection Feedback and Noise 191

      5.4.4 Dispersive Pulse Broadening 194

      5.4.5 Frequency Chirping 195

      5.4.6 Eye-Closure Penalty 197

      5.5 Forward Error Correction 198

      5.5.1 Error-Correcting Codes 198

      5.5.2 Coding Gain 199

      5.6 Computer-Aided Design 200

      Problems 202

      References 204

      6 Multichannel Systems 208

      6.1 WDM Systems and Networks 208

      6.1.1 High-Capacity Point-to-Point Links 209

      6.1.2 Wide-Area and Metro-Area Networks 212

      6.1.3 Multiple-Access WDM Networks 215

      6.2 WDM Components 216

      6.2.1 Optical Filters 217

      6.2.2 Multiplexers and Demultiplexers 222

      6.2.3 Add–Drop Multiplexers 224

      6.2.4 Star Couplers 227

      6.2.5 Wavelength Routers 228

      6.2.6 WDM Transmitters and Receivers 230

      6.3 System Performance Issues 233

      6.3.1 Linear Crosstalk 233

      6.3.2 Raman-Induced Nonlinear Crosstalk 235

      6.3.3 XPM-Induced Nonlinear Crosstalk 237

      6.3.4 FWM-Induced Nonlinear Crosstalk 239

      6.3.5 Other Design Issues 240

      6.4 Time-Division Multiplexing 241

      6.4.1 Time-Domain Multiplexing 242

      6.4.2 Time-Domain Demultiplexing 243

      6.4.3 Performance of OTDM Systems 245

      6.5 Subcarrier Multiplexing 246

      6.5.1 Analog and Digital SCM Systems 246

      6.5.2 Orthogonal Frequency-Division multiplexing 248

      6.6 Code-Division Multiplexing 250

      6.6.1 Time-Domain Encoding 251

      6.6.2 Frequency-Domain Encoding 253

      Problems 255

      References 257

      7 Loss Management 264

      7.1 Compensation of Fiber Losses 264

      7.1.1 Periodic Amplification Scheme 265

      7.1.2 Lumped Versus Distributed Amplification 267

      7.1.3 Bidirectional Pumping Scheme 268

      7.2 Erbium-Doped Fiber Amplifiers 269

      7.2.1 Pumping and Gain Spectrum 269

      7.2.2 Two-Level Model 270

      7.2.3 Amplifier Noise 273

      7.2.4 Multichannel Amplification 275

      7.3 Raman Amplifiers 277

      7.3.1 Raman Gain and Bandwidth 278

      7.3.2 Raman-Induced Signal Gain 279

      7.3.3 Multiple-Pump Raman Amplification 281

      7.3.4 Noise Figure of Raman Amplifiers 283

      7.4 Optical Signal-To-Noise Ratio 285

      7.4.1 Lumped Amplification 285

      7.4.2 Distributed Amplification 287

      7.5 Electrical Signal-To-Noise Ratio 288

      7.5.1 ASE-Induced Current Fluctuations 288

      7.5.2 Impact of ASE on SNR 290

      7.5.3 Noise Buildup in an Amplifier Chain 291

      7.6 Receiver Sensitivity and Q Factor 292

      7.6.1 Bit-Error Rate 292

      7.6.2 Relation between Q Factor and Optical SNR 294

      7.7 Role of Dispersive and Nonlinear Effects 295

      7.7.1 Noise Growth through Modulation Instability 295

      7.7.2 Noise-Induced Signal Degradation 297

      7.7.3 Noise-Induced Energy Fluctuations 299

      7.7.4 Noise-Induced Timing Jitter 300

      7.8 Periodically Amplified Lightwave Systems 300

      7.8.1 Numerical Approach 301

      7.8.2 Optimum Launched Power 304

      Problems 306

      References 307

      8 Dispersion Management 310

      8.1 Dispersion Problem and Its Solution 310

      8.2 Dispersion-Compensating Fibers 312

      8.2.1 Conditions for Dispersion Compensation 312

      8.2.2 Dispersion Maps 313

      8.2.3 DCF Designs 315

      8.3 Fiber Bragg Gratings 317

      8.3.1 Constant-Period Gratings 318

      8.3.2 Chirped Fiber Gratings 320

      8.3.3 Sampled Gratings 322

      8.4 Dispersion-Equalizing Filters 325

      8.4.1 Gires–Tournois Filters 325

      8.4.2 Mach–Zehnder and Other Filters 327

      8.5 Optical Phase Conjugation 329

      8.5.1 Principle of Operation 330

      8.5.2 Compensation of Self-Phase Modulation 331

      8.5.3 Generation of Phase-Conjugated Signal 332

      8.6 Advanced Techniques 335

      8.6.1 Tunable Dispersion Compensation 335

      8.6.2 Higher-Order Dispersion Management 338

      8.6.3 PMD Compensation 340

      8.7 Electronic Dispersion Compensation 343

      8.7.1 Pre-compensation at the Transmitter 343

      8.7.2 Post-Compensation at the Receiver 347

      Problems 349

      References 351

      9 Control of Nonlinear Effects 355

      9.1 Impact of Fiber Nonlinearity 355

      9.1.1 System Design Issues 356

      9.1.2 Semianalytic Approach 359

      9.1.3 Soliton and Pseudo-linear Regimes 361

      9.2 Solitons in Optical Fibers 363

      9.2.1 Properties of Optical Solitons 364

      9.2.2 Loss-Managed Solitons 367

      9.2.3 Dispersion-Managed Solitons 370

      9.2.4 Timing Jitter 374

      9.3 Pseudo-linear Lightwave Systems 378

      9.3.1 Origin of Intrachannel Nonlinear Effects 378

      9.3.2 Intrachannel Cross-Phase Modulation 380

      9.3.3 Intrachannel Four-Wave Mixing 384

      9.4 Management of Nonlinear Effects 387

      9.4.1 Optimization of Dispersion Maps 387

      9.4.2 Phase-Alternation Technique 390

      9.4.3 Polarization Bit Interleaving 392

      9.4.4 Optical Phase Conjugation 393

      9.4.5 Phase-Sensitive Amplification 395

      Problems 396

      References 398

      10 Coherent Lightwave Systems 402

      10.1 Coherent Transmitters 403

      10.1.1 Encoding of Optical Signals 403

      10.1.2 Amplitude and Phase Modulators 405

      10.1.3 Quadrature modulator 406

      10.2 Coherent Receivers 408

      10.2.1 Synchronous Heterodyne Demodulation 408

      10.2.2 Asynchronous Heterodyne Demodulation 410

      10.2.3 Optical Delay Demodulation 411

      10.2.4 Phase Diversity and Polarization Diversity 413

      10.3 Noise and Bit-Error Rate 415

      10.3.1 Synchronous Heterodyne Receivers 415

      10.3.2 Asynchronous Heterodyne Receivers 418

      10.3.3 Receivers with Optical Delay Demodulation 419

      10.4 Sources of Performance Degradation 421

      10.4.1 Intensity Noise of Lasers 421

      10.4.2 Phase Noise of Lasers 422

      10.4.3 Effects of Fiber’s Dispersion 424

      10.5 Management of Nonlinear Effects 425

      10.5.1 Nonlinear Phase Noise 426

      10.5.2 Compensation of Nonlinear Phase Noise 429

      10.5.3 Nonlinear Interference Noise 432

      10.6 Digital Signal Processing 435

      10.6.1 Removal of Intermediate Frequency and Phase fluctuations 435

      10.6.2 Compensation of GVD and PMD 437

      10.6.3 Digital Backward Propagation 440

      10.7 Experimental Progress 442

      10.7.1 DPSK and DQPSK formats 442

      10.7.2 QPSK and QAM formats 445

      10.7.3 Coherent Orthogonal FDM 448

      10.7.4 Optical Superchannels 450

      10.8 Channel Capacity 452

      Problems 454

      References 455

      11 Space-Division Multiplexing 462

      11.1 SDM Technique 462

      11.2 Modes of Optical Fibers 464

      11.2.1 Step-Index Fibers 464

      11.2.2 Graded-Index Fibers 467

      11.2.3 Multicore Fibers 469

      11.3 SDM Components 471

      11.3.1 Design of SDM Fibers 471

      11.3.2 Spatial Multiplexers and Demultiplexers 474

      11.3.3 Multicore/Multimode Fiber Amplifiers 479

      11.3.4 Other SDM Components 481

      11.4 Modeling of SDM Systems 482

      11.4.1 Multimode Coupled Nonlinear Equations 483

      11.4.2 Averaged Multimode Nonlinear Equations 486

      11.4.3 Nonlinear Effects in MCFs 488

      11.4.4 Nonlinear Effects in MMFs 491

      11.5 Experimental Progress 494

      11.5.1 MCF-Based SDM Systems 494

      11.5.2 MMF-Based SDM Systems 496

      11.5.3 High-Capacity SDM Systems 498

      Problems 499

      References 500

      12 Advanced Topics 505

      12.1 Optical Signal Processing 506

      12.1.1 Nonlinear Optical Loop Mirrors 506

      12.1.2 Parametric Amplifiers 510

      12.1.3 Semiconductor Optical Amplifiers 513

      12.1.4 Bistable Optical Devices 516

      12.1.5 Optical Flip–Flops 518

      12.2 Wavelength Conversion 522

      12.2.1 XPM-Based Wavelength Converters 522

      12.2.2 FWM-Based Wavelength Converters 525

      12.2.3 Semiconductor Waveguides 528

      12.2.4 SOA-Based Wavelength Converters 530

      12.3 Ultrafast Optical Switching 532

      12.3.1 Time-Domain Demultiplexing 532

      12.3.2 Packet Switching 536

      12.3.3 Format Conversion 538

      12.4 Optical Regeneration 540

      12.4.1 2R Regenerators 541

      12.4.2 3R Regenerators 545

      12.4.3 Regeneration of Phase-Encoded Signals 549

      12.5 Nonlinear Frequency-Division Multiplexing 552

      12.5.1 Nonlinear Fourier Transform 552

      12.5.2 Practical Implementation 554

      Problems 556

      References 557

      A System of Units 566

      B Acronyms 568

      C Formula for Pulse Broadening 572

      D Nyquist Pulses 574

      References 575

      Index 576

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