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Foreword VII
Preface XXVII
Part One Basic Physics of Chaos and Synchronization in Lasers
1 Introduction 3
1.1 Lasers and Chaos 6
1.2 Synchronization of Chaos and Optical Communication 8
1.3 Random Number Generation with Chaotic Lasers and Other Applications 11
1.4 Research Directions for Engineering Applications with Chaotic Lasers 12
1.5 Outline of This Book 13
2 Basics of Chaos and Laser 19
2.1 History of Instabilities of Laser Output 19
2.2 Basic Chaos Theory 26
2.3 Basic Laser Theory 38
2.4 Connection Between Chaos and Lasers 46
3 Generation of Chaos in Lasers 59
3.1 Basics of Generation of Chaos in Lasers 59
3.2 Chaos in Semiconductor Lasers 69
3.3 Chaos in Electro-Optic Systems 98
3.4 Chaos in Fiber Lasers 107
3.5 Chaos in Solid-State Lasers 115
3.6 Chaos in Gas Lasers 124
4 Analysis of Chaotic Laser Dynamics: Example of Semiconductor Laser with Optical Feedback 145
4.1 Experimental Analysis of Semiconductor Lasers with Optical Feedback 145
4.2 Model for Semiconductor Laser with Optical Feedback 156
4.3 Analytical Approach of Semiconductor Laser with Optical Feedback 161
4.4 Numerical Analysis of Semiconductor Laser with Optical Feedback 172
4.5 Dimensionless Equations and Further Nonlinear Analysis 184
4.6 Lang-Kobayashi Equations with Gain Saturation 194
5 Synchronization of Chaos in Lasers 211
5.1 Concept of Synchronization of Chaos in Lasers 211
5.2 History of Synchronization of Chaos in Lasers 217
5.3 Coupling Schemes and Synchronization Types 223
5.4 Examples of Synchronization of Chaos in Semiconductor Lasers 230
5.5 Examples of Synchronization of Chaos in Electro-Optic Systems and Other Lasers 245
5.6 Specific Types of Synchronization 254
5.7 Consistency 263
6 Analysis of Synchronization of Chaos: Example of Unidirectionally Coupled Semiconductor Lasers with Optical Feedback 285
6.1 Experimental Analysis on Synchronization of Chaos in Two Semiconductor Lasers with Optical Feedback 285
6.2 Model for Synchronization of Chaos in Two Coupled Semiconductor Lasers with Optical Feedback 293
6.3 Numerical Analysis on Synchronization of Chaos in Unidirectionally Coupled Semiconductor Lasers with Optical Feedback 300
6.4 Experimental Analysis on Generalized Synchronization with Low Correlation in Three Semiconductor Lasers in the Auxiliary System Approach 313
6.5 Model for Generalized Synchronization with Low Correlation in Three Semiconductor Lasers in the Auxiliary System Approach 324
6.6 Numerical Analysis on Generalized Synchronization of Chaos in Three Semiconductor Lasers in the Auxiliary System Approach 327
Part Two Application of Chaotic Lasers to Optical Communication and Information Technology
7 Basic Concept of Optical Communication with Chaotic Lasers 343
7.1 History of Secret Communication 343
7.2 Concept of Chaos Communication 346
7.3 Characteristics of Chaos Communication 351
7.4 Encoding and Decoding Techniques 354
7.5 Tools for Quantitative Evaluation of Performance of Chaos Communication 362
8 Implementation of Optical Communication with Chaotic Lasers 369
8.1 History of Chaos Communication 369
8.2 Examples of Communication Systems with Various Chaotic Lasers 377
8.3 Performance Evaluation of Optical Communication with Chaotic Lasers 390
8.4 Privacy Issues in Optical Communication with Chaotic Lasers 405
8.5 Photonic Integrated Circuit for Optical Communication with Chaotic Lasers 410
8.6 Other Encoding and Decoding Techniques 417
8.7 New Perspective of Optical Communication with Chaotic Lasers 423
9 Secure Key Distribution Based on Information-Theoretic Security with Chaotic Lasers 427
9.1 Introduction 427
9.2 Concept of Information-Theoretic Security 429
9.3 Implementation of Information-Theoretic Security with Chaotic Lasers 431
9.4 Information-Theoretic Security with Optical Noise 441
10 Random Number Generation with Chaotic Lasers 445
10.1 Introduction 445
10.2 Types of Random Number Generators 447
10.3 Examples of Random Number Generators with Chaotic Lasers 452
10.4 Application of Chaotic-Laser-Based Random Number Generators to High-Speed Quantum Key Distribution 472
10.5 Numerical Evaluation of Random Number Generator as Entropy Source 475
10.6 Conventional Methods for Physical Random Number Generators 480
10.7 Postprocessing Techniques for Improvement of Randomness 490
10.8 Pseudorandom Number Generators 493
10.9 Statistical Evaluation of Random Numbers with NIST Special Publication 800-22 Test Suite 497
11 Controlling Chaos in Lasers 511
11.1 Classification of Controlling Chaos 511
11.2 Examples of Controlling Chaos in Lasers 515
11.3 Applications of Controlling Chaos in Lasers 525
12 Other Applications with Chaotic Lasers 533
12.1 Remote Sensing with Chaotic Lasers 533
12.2 Blind Source Separation of Chaotic Signals by Using Independent Component Analysis 542
12.3 Fractal Optics 547
12.3.1 Chaos Mirror for Wireless Optical Communications 548
12.3.2 Fractal Patterns in Regular Polyhedral Mirror-Ball Structures 550
References 557
Glossary 575
G.1 List of Acronyms 575
G.1.1 Acronyms of Technical Terms 575
G.1.2 Acronyms of Units 578
G.2 Source Codes of C Programming Language for Numerical Simulations 579
G.2.1 Logistic Map (Chapter 2) 579
G.2.1.1 C Source Code for Sequence of Logistic Map (Figure 2.5a) 579
G.2.1.2 C Source Code for Bifurcation Diagram of Logistic Map (Figure 2.8) 580
G.2.1.3 C Source Code for Lyapunov Exponent of LogisticMap (Figure 2.9) 581
G.2.2 Lorenz Euations (Chapter 2) 582
G.2.2.1 C Source Code for Time Series of Lorenz Equations (Figure 2.10) 582
G.2.2.2 C Source Code for Bifurcation Diagram of Lorenz Equations (Figure 2.12a) 584
G.2.2.3 C Source Code for Lyapnov Spectrum (All the Lyapunov Exponents) of Lorenz Equations (Figure 2.12b) 586
G.2.2.4 C Source Code for Synchronization of Chaos in Lorenz Equations (Diffusive Coupling, Section 5.2.1.2) 590
G.2.3 Lang-Kobayashi Equations for a Semiconductor Laser with Time-Delayed Optical Feedback (Chapter 4) 592
G.2.3.1 C Source Code for Time Series of Lang-Kobayashi Equations (Figure 4.13e) 592
G.2.3.2 C Source Code for Bifurcation Diagram of Lang-Kobayashi Equations (Figure 4.16) 595
G.2.3.3 C Source Code for Maximum Lyapunov Exponent of Lang-Kobayashi Equations (Figure 4.19) 599
G.2.4 Synchronization of Chaos in Coupled Lang-Kobayashi Equations for Unidirectionally Coupled Semiconductor Lasers with Time-Delayed Optical Feedback (Chapter 6) 604
G.2.4.1 C Source Code for Time Series of Synchronization of Chaos in Coupled Lang-Kobayashi Equations in Open-Loop Configuration (Figure 6.9) 604
G.2.4.2 C Source Code for Time Series of Synchronization of Chaos in Coupled Lang-Kobayashi Equations in Closed-Loop Configuration (Appendix 6.A.1) 609
G.2.4.3 C Source Code for Cross-Correlation Calculation of Synchronization of Chaos in Coupled Lang-Kobayashi Equations in Open-Loop Configuration (Figures 6.10a and c) 614
G.2.4.4 C Source Code for Conditional Lyapunov Exponent of Synchronization of Chaos in Coupled Lang-Kobayashi Equations in Open-Loop Configuration (Figure 6.12) 620
Index 627