Optical communication with chaotic lasers: applications of nonlinear dynamics and synchronization
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| Format: | Book |
| Language: | English |
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Weinheim
Wiley-VCH
2012
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| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XXVIII, 640 S. Ill., graph. Darst. |
| ISBN: | 352740869X 9783527408696 9783527640331 |
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MARC
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| 100 | 1 | |a Uchida, Atsushi |e Verfasser |0 (DE-588)1019246618 |4 aut | |
| 245 | 1 | 0 | |a Optical communication with chaotic lasers |b applications of nonlinear dynamics and synchronization |c Atsushi Uchida |
| 264 | 1 | |a Weinheim |b Wiley-VCH |c 2012 | |
| 300 | |a XXVIII, 640 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Nichtlineare Dynamik |0 (DE-588)4126141-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Optische Nachrichtentechnik |0 (DE-588)4035624-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Laser |0 (DE-588)4034610-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Synchronisierung |0 (DE-588)4130847-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Chaotisches System |0 (DE-588)4316104-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Laser |0 (DE-588)4034610-9 |D s |
| 689 | 0 | 1 | |a Optische Nachrichtentechnik |0 (DE-588)4035624-3 |D s |
| 689 | 0 | 2 | |a Nichtlineare Dynamik |0 (DE-588)4126141-0 |D s |
| 689 | 0 | 3 | |a Chaotisches System |0 (DE-588)4316104-2 |D s |
| 689 | 0 | 4 | |a Synchronisierung |0 (DE-588)4130847-5 |D s |
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| 856 | 4 | 2 | |m X:MVB |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=3847396&prov=M&dok_var=1&dok_ext=htm |3 Inhaltstext |
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| _version_ | 1805145929567698944 |
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IMAGE 1
XI
CONTENTS
FOREWORD VII PREFACE XXVII
PART ONE BASIC PHYSICS OF CHAOS AND SYNCHRONIZATION IN LASERS 1
INTRODUCTION 3
1.1 LASERS AND CHAOS 6 1.1.1 LASERS 6 1.1.2 CHAOS 6
1.1.3 CONNECTION BETWEEN LASERS AND CHAOS 7 1.1.4 CHAOS AND NOISE 8 1.2
SYNCHRONIZATION OF CHAOS AND OPTICAL COMMUNICATION 8 1.2.1
SYNCHRONIZATION OF CHAOS 8
1.2.2 OPTICAL COMMUNICATION WITH SYNCHRONIZED CHAOTIC LASERS 9 1.3
RANDOM NUMBER GENERATION WITH CHAOTIC LASERS AND OTHER APPLICATIONS 11
1.3.1 RANDOM NUMBER GENERATION 11 1.3.2 CONTROLLING CHAOS AND OTHER
APPLICATIONS 12 1.4 RESEARCH DIRECTIONS FOR ENGINEERING APPLICATIONS
WITH CHAOTIC LASERS 12 1.5 OUTLINE OF THIS BOOK 13 1.5.1 CONTENTS OF
CHAPTERS: FIRST PARTS FOR THE BASICS 14 1.5.2 CONTENTS OF CHAPTERS:
SECOND PART FOR THE APPLICATIONS 16
2 BASICS OF CHAOS AND LASER 19 2.1 HISTORY OF INSTABILITIES OF LASER
OUTPUT 19 2.1.1 EXAMPLES OF LASER INSTABILITIES 19 2.1.1.1 FIRST
OBSERVATION OF LASER INSTABILITIES IN A RUBY LASER 19
2.1.1.2 GREEN PROBLEM IN A SOLID-STATE LASER FOR SECOND- HARMONIC
GENERATION 20 2.1.1.3 FEEDBACK-INDUCED INSTABILITY IN A SEMICONDUCTOR
LASER FOR OPTICAL DISKS AND OPTICAL COMMUNICATION SYSTEMS 21 2.1.2
INHERENT NOISE-INDUCED INSTABILITIES 23 2.1.3 DETERMINISTIC CHAOS IN
LASERS AND LORENZ-HAKEN EQUATIONS 24
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1013143922
DIGITALISIERT DURCH
IMAGE 2
XII CONTENTS
2.2 BASIC CHAOS THEORY 26
2.2.1 LOGISTIC MAP IN DISCRETE-TIME SYSTEM 26 2.2.1.1 RECURRENCE FORMULA
26 2.2.1.2 CHAOTIC SEQUENCE 27 2.2.1.3 BIFURCATION DIAGRAM 28 2.2.1.4
LYAPUNOV EXPONENT 30 2.2.2 LORENZ MODEL IN A CONTINUOUS-TIME SYSTEM 31
2.2.2.1 LORENZ EQUATIONS 31 2.2.2.2 TEMPORAL WAVEFORM AND ATTRACTOR 32
2.2.2.3 SENSITIVE DEPENDENCE ON INITIAL CONDITIONS 32 2.2.2.4
BIFURCATION DIAGRAM 33 2.2.2.5 LYAPUNOV EXPONENT 33 2.2.3 RECONSTRUCTION
OF ATTRACTOR IN TIME-DELAYED PHASE SPACE 35 2.2 A TYPES OF BIFURCATION
AND ROUTE TO CHAOS 36
2.2.4.1 PERIOD-DOUBLING ROUTE TO CHAOS 36 2.2.4.2 QUASIPERIODICITY ROUTE
TO CHAOS 37 2.2.4.3 INTERMITTENCY ROUTE TO CHAOS 37 2.3 BASIC LASER
THEORY 38 2.3.1 LIGHT-MATTER INTERACTION FOR LASER RADIATION 38 2.3.1.1
ELEMENTS OF A LASER 38 2.3.1.2 TWO-ATOMIC-LEVEL DESCRIPTION AND
MECHANISM OF LASER
OSCILLATION 39
2.3.2 RADIATIVE RECOMBINATION OF ELECTRON-HOLE PAIRS IN SEMICONDUCTOR
LASERS 40 2.3.3 RATE EQUATIONS FOR LASER DYNAMICS 41 2.3.4 RELAXATION
OSCILLATION FREQUENCY 44 2.3.5 MECHANISM OF CHAOTIC INSTABILITY IN
LASERS 45 2.4 CONNECTION BETWEEN CHAOS AND LASERS 46
2.4.1 SINGLE-MODE LASER MODEL BASED ON MAXWELL-BLOCH EQUATIONS 46 2.4.2
CLASSIFICATION OF LASER MODELS BASED ON DECAY RATES 48 2.4.2.1 CLASS C
LASERS (THREE VARIABLES) 48
2.4.2.2 CLASS B LASERS (TWO VARIABLES) 48 2.4.2.3 CLASS A LASERS (ONE
VARIABLE) 49 APPENDIX 2. A.I GENERAL FORMULA OF THE LINEARIZED EQUATIONS
AND THE
DERIVATION OF THE LINEARIZED EQUATIONS IN THE LORENZ MODEL 51 2. A.2
GENERAL FORMULA FOR THE CALCULATION OF THE LYAPUNOV EXPONENT IN
NONLINEAR DYNAMICAL SYSTEMS WITHOUT TIME DELAY 53 2.A.3 ROESSLER MODEL 54
2.A.4 DERIVATION OF THE RELAXATION OSCILLATION FREQUENCY 55
GENERATION OF CHAOS IN LASERS 59 3.1 BASICS OF GENERATION OF CHAOS IN
LASERS 59 3.1.1 CLASSIFICATION OF GENERATION TECHNIQUES OF CHAOS IN
LASERS 59
IMAGE 3
CONTENTS XIII
3.1.1.1 OPTICAL FEEDBACK 60
3.1.1.2 OPTICAL COUPLING AND INJECTION 62 3.1.1.3 EXTERNAL MODULATION 62
3.1.1.4 INSERTION OF NONLINEAR ELEMENT 62 3.1.1.5 MULTIMODE LASERS AND
HIGH-DIMENSIONAL LASER
SYSTEMS 63
3.1.1.6 CLASS C LASERS SATISFYING THE CONDITION FOR LORENZ-HAKEN CHAOS
63 3.1.1.7 IKEDA-TYPE PASSIVE OPTICAL SYSTEMS 63 3.1.2 CHARACTERISTICS
OF CHAOS IN LASERS 64
3.1.2.1 HIGH-FREQUENCY CHAOS 64 3.1.2.2 EXISTENCE OF TWO OSCILLATION
FREQUENCIES IN DIFFERENT ORDERS OF MAGNITUDE 64 3.1.2.3 MIDDLE DEGREES
OF FREEDOM 65 3.1.2.4 PHYSICAL VARIABLES 65 3.1.2.5 TRANSMISSION OF
CHAOS 65 3.1.2.6 VARIETY OF LASER MODELS 65 3.1.3 HOW TO DISTINGUISH
BETWEEN CHAOS AND NOISE FROM
EXPERIMENTAL DATA? 66 3.1.3.1 EXPERIMENTAL APPARATUS FOR MEASUREMENT OF
INSTABILITY IN LASER INTENSITY 66 3.1.3.2 EXAMPLES OF CHAOS AND NOISE
FROM REAL EXPERIMENTAL
DATA 66
3.1.3.3 OBSERVATION OF BIFURCATION 67 3.1.3.4 COMPARISON WITH LASER
MODEL 68 3.2 CHAOS IN SEMICONDUCTOR LASERS 69 3.2.1 SEMICONDUCTOR LASER
WITH OPTICAL FEEDBACK 69
3.2.1.1 DYNAMICAL REGIME AND L-I CHARACTERISTICS 69 3.2.1.2 COHERENCE
COLLAPSE AND CHAOS IN EXPERIMENT 71 3.2.1.3 NUMERICAL RESULTS AND
BIFURCATION DIAGRAM 73 3.2.1.4 LOW-FREQUENCY FLUCTUATIONS (LFFS) 75
3.2.1.5 SHORT-CAVITY REGIME 78 3.2.2 SEMICONDUCTOR LASER WITH
POLARIZATION-ROTATED OPTICAL
FEEDBACK 79
3.2.3 SEMICONDUCTOR LASER WITH OPTOELECTRONIC FEEDBACK 83 3.2.4
SEMICONDUCTOR LASER WITH OPTICAL INJECTION AND COUPLING 88 3.2.4.1
TEMPORAL DYNAMICS AND BIFURCATION DIAGRAM 88
3.2.4.2 BANDWIDTH ENHANCEMENT OF CHAOS BY OPTICAL INJECTION 91 3.2.5
SEMICONDUCTOR LASER WITH INJECTION CURRENT MODULATION 92 3.2.6
VERTICAL-CAVITY SURFACE-EMITTING LASER (VCSEL) 93
3.2.6.1 BASIC CHARACTERISTICS 93 3.2.6.2 OPTICAL FEEDBACK 96 3.2.6.3
OPTICAL INJECTION 97
IMAGE 4
XIV CONTENTS
3.3 CHAOS IN ELECTRO-OPTIC SYSTEMS 98
3.3.1 IKEDA-TYPE NONLINEAR DELAY DYNAMICS 98 3.3.2 WAVELENGTH CHAOS IN
ELECTRO-OPTIC SYSTEM 101 3.3.3 INTENSITY CHAOS IN ELECTRO-OPTIC SYSTEM
103 3.3.4 PHASE CHAOS IN ELECTRO-OPTIC SYSTEM 105 3.4 CHAOS IN FIBER
LASERS 107
3.4.1 EXTERNAL MODULATION 109 3.4.2 MULTIMODE (DUAL-WAVELENGTH) DYNAMICS
112 3.4.3 FAST POLARIZATION DYNAMICS 114 3.5 CHAOS IN SOLID-STATE LASERS
115 3.5.1 EXTERNAL MODULATION 116
3.5.2 FREQUENCY-SHIFTED OPTICAL FEEDBACK 117 3.5.3 ANTIPHASE DYNAMICS IN
MULTIMODE LASER 120 3.5.4 INSERTION OF NONLINEAR CRYSTAL 122 3.6 CHAOS
IN GAS LASERS 124
3.6.1 LORENZ-HAKEN CHAOS 124 3.6.2 INSERTION OF SATURABLE ABSORBERS 128
3.6.3 EXTERNAL MODULATION 130 3.6.4 OPTICAL INJECTION 130
3.6.5 MULTIMODE LASER 132 3.6.6 LOW-FREQUENCY DYNAMICS WITH OPTICAL
FEEDBACK 134 APPENDIX 3.A.1 NUMERICAL MODEL FOR CHAOTIC DYNAMICS IN A
SEMICONDUCTOR LASER 135 3.A.1.1 COHERENT OPTICAL FEEDBACK 135 3.A.1.2
POLARIZATION-ROTATED OPTICAL FEEDBACK 135 3.A.1.3 OPTOELECTRONIC
FEEDBACK (INCOHERENT FEEDBACK) 136 3.A.2 MECHANISM OF LOW-FREQUENCY
FLUCTUATIONS (LFFS) IN
SEMICONDUCTOR LASER WITH OPTICAL FEEDBACK 137 3.A.3 NUMERICAL MODEL FOR
CHAOTIC DYNAMICS IN A VERTICAL-CAVITY SURFACE-EMITTING LASER (VCSEL) 139
3.A.4 NUMERICAL MODEL FOR CHAOTIC DYNAMICS IN AN ELECTRO-OPTIC
SYSTEM 139
3.A.5 NUMERICAL MODEL FOR CHAOTIC DYNAMICS IN A FIBER LASER 140 3.A.6
NUMERICAL MODEL FOR CHAOTIC DYNAMICS IN A SOLID-STATE LASER 140 3.A.6.1
SINGLE-MODE LASER MODEL 140
3.A.6.2 MULTIMODE LASER MODEL WITH SPATIAL HOLE BURNING
(TANG-STATZ-DEMARS EQUATIONS) 141 3.A.7 NUMERICAL MODEL FOR CHAOTIC
DYNAMICS IN A GAS LASER 142
ANALYSIS OF CHAOTIC LASER DYNAMICS: EXAMPLE OF SEMICONDUCTOR LASER WITH
OPTICAL FEEDBACK 145
4.1 EXPERIMENTAL ANALYSIS OF SEMICONDUCTOR LASERS WITH OPTICAL FEEDBACK
145
IMAGE 5
CONTENTS XV
4.1.1 EXPERIMENTAL SETUP 146
4.1.2 LIGHT POWER VERSUS INJECTION CURRENT (L-I) CHARACTERISTICS 147
4.1.3 TEMPORAL WAVEFORMS, RF SPECTRA, AUTOCORRELATIONS, AND OPTICAL
SPECTRA 149 4.1.4 TWO-DIMENSIONAL MAP 155 4.2 MODEL FOR SEMICONDUCTOR
LASER WITH OPTICAL FEEDBACK 156
4.2.1 LANG-KOBAYASHI EQUATIONS 156 4.2.2 DERIVATION OF THE
ELECTRIC-FIELD AMPLITUDE AND PHASE OF THE LANG-KOBAYASHI EQUATIONS FROM
THE COMPLEX ELECTRIC-FIELD EQUATIONS 158
4.2.3 DERIVATION OF THE REAL AND IMAGINARY ELECTRIC FIELDS OF THE
LANG-KOBAYASHI EQUATIONS FROM THE COMPLEX ELECTRIC-FIELD EQUATIONS 160
4.3 ANALYTICAL APPROACH OF SEMICONDUCTOR LASER WITH OPTICAL
FEEDBACK 161 4.3.1 STEADY-STATE SOLUTIONS WITHOUT OPTICAL FEEDBACK 161
4.3.2 LINEAR STABILITY ANALYSIS FOR STEADY-STATE SOLUTIONS WITHOUT
OPTICAL FEEDBACK 162
4.3.2.1 EIGENVALUES OF JACOBIAN MATRIX 162 4.3.2.2 RELAXATION
OSCILLATION FREQUENCY 165 4.3.3 STEADY-STATE SOLUTIONS WITH OPTICAL
FEEDBACK 166 4.3.4 LINEAR STABILITY ANALYSIS FOR STEADY STATE SOLUTIONS
WITH OPTICAL
FEEDBACK 169
4.4 NUMERICAL ANALYSIS OF SEMICONDUCTOR LASER WITH OPTICAL FEEDBACK 172
4.4.1 NUMERICAL RESULTS OF CHAOTIC DYNAMICS 173 4.4.1.1 TEMPORAL
WAVEFORMS, FFTS, AND ATTRACTORS 173
4.4.1.2 BIFURCATION DIAGRAM AND TWO-DIMENSIONAL DYNAMICAL MAP 176 4.4.2
LINEAR STABILITY ANALYSIS FOR OSCILLATORY TRAJECTORY 179 4.4.3 MAXIMUM
LYAPUNOV EXPONENT 181 4.5 DIMENSIONLESS EQUATIONS AND FURTHER NONLINEAR
ANALYSIS 184
4.5.1 DIMENSIONLESS EQUATIONS 184 4.5.2 NUMERICAL RESULTS OF CHAOTIC
DYNAMICS 187 4.5.3 LINEAR STABILITY ANALYSIS FOR OSCILLATORY TRAJECTORY
IN DIMENSIONLESS EQUATIONS AND MAXIMUM LYAPUNOV
EXPONENT 188 4.5.4 LYAPUNOV SPECTRUM 190 4.5.5 KOLMOGOROV-SINAI ENTROPY
AND KAPLAN-YORKE DIMENSION 392 4.6 LANG-KOBAYASHI EQUATIONS WITH GAIN
SATURATION 394
4.6.1 LANG-KOBAYASHI EQUATIONS WITH GAIN SATURATION 194 4.6.2 NUMERICAL
RESULTS AND HISTOGRAM 195 4.6.3 LINEAR STABILITY ANALYSIS FOR
OSCILLATORY TRAJECTORY AND MEASUREMENT OF COMPLEXITY 196
IMAGE 6
XVI CONTENTS
APPENDIX
4.A.1 DERIVATION OF THE RATE EQUATIONS OF SEMICONDUCTOR LASERS 199 4.A.2
DERIVATION OF THE RATE EQUATIONS OF SEMICONDUCTOR LASERS WITH OPTICAL
FEEDBACK 205 4.A.3 ANALYTICAL APPROACH OF THE STABILITY OF STEADY STATE
SOLUTIONS FOR
SEMICONDUCTOR LASER WITH OPTICAL FEEDBACK UNDER THE LIMITS OF WEAK AND
SHORT FEEDBACK 206 4.A.4 RUNGE-KUTTA METHOD FOR THE INTEGRATION OF
ORDINARY DIFFERENTIAL EQUATIONS 208 4.A.5 GRAM-SCHMIDT ORTHOGONALIZATION
210
5 SYNCHRONIZATION OF CHAOS IN LASERS 211 5.1 CONCEPT OF SYNCHRONIZATION
OF CHAOS IN LASERS 211 5.1.1 INTRODUCTION 211 5.1.2 WHAT IS
SYNCHRONIZATION? 212
5.1.3 WHY SHOULD CHAOS BE SYNCHRONIZED? 213 5.1.4 CHARACTERISTICS OF
SYNCHRONIZATION OF CHAOS IN LASER SYSTEMS 215 5.1.5 SYNCHRONIZATION OF
CHAOS FOR COMMUNICATION APPLICATIONS 216 5.2 HISTORY OF SYNCHRONIZATION
OF CHAOS IN LASERS 217
5.2.1 SYNCHRONIZATION OF CHAOS IN ELECTRONIC CIRCUITS 217 5.2.1.1
PECORA-CARROLL METHOD 217 5.2.1.2 PYRAGAS METHOD 218 5.2.2
SYNCHRONIZATION OF CHAOS IN LASERS 219 5.3 COUPLING SCHEMES AND
SYNCHRONIZATION TYPES 223
5.3.1 IDENTICAL SYNCHRONIZATION 224 5.3.2 GENERALIZED SYNCHRONIZATION
(WITH HIGH CORRELATION) 225 5.3.3 SYNCHRONIZATION OF CHAOS IN FEEDBACK
SYSTEMS 225 5.3.3.1 OPEN-LOOP CONFIGURATION 225
5.3.3.2 CLOSED-LOOP CONFIGURATION 227 5.3.4 MUTUAL COUPLING 228 5.3.5
LINEAR STABILITY ANALYSIS AND CONDITIONAL LYAPUNOV EXPONENT 229 5.4
EXAMPLES OF SYNCHRONIZATION OF CHAOS IN SEMICONDUCTOR LASERS 230
5.4.1 SEMICONDUCTOR LASERS WITH COHERENT OPTICAL FEEDBACK 231 5.4.2
SEMICONDUCTOR LASERS WITH POLARIZATION-ROTATED OPTICAL FEEDBACK 236
5.4.3 SEMICONDUCTOR LASERS WITH OPTOELECTRONIC FEEDBACK 237
5.4.4 SEMICONDUCTOR LASERS WITH OPTICAL INJECTION 239 5.4.5
SEMICONDUCTOR LASERS WITH MUTUAL COUPLING 240 5.4.5.1 SYMMETRY BREAKING
AND LEADER-LAGGARD RELATIONSHIP 240
5.4.5.2 ZERO-LAG SYNCHRONIZATION 242 5.4.6 VERTICAL-CAVITY
SURFACE-EMITTING LASERS (VCSELS) 243 5.5 EXAMPLES OF SYNCHRONIZATION OF
CHAOS IN ELECTRO-OPTIC SYSTEMS AND OTHER LASERS 245
5.5.1 ELECTRO-OPTIC SYSTEMS 245
IMAGE 7
CONTENTS XVII
5.5.2 FIBER LASERS 248
5.5.3 SOLID-STATE LASERS 250 5.5.4 GAS LASERS 253 5.6 SPECIFIC TYPES OF
SYNCHRONIZATION 254 5.6.1 PHASE SYNCHRONIZATION 254
5.6.2 GENERALIZED SYNCHRONIZATION (WITH LOW CORRELATION) 258 5.7
CONSISTENCY 263 5.7.1 WHAT IS CONSISTENCY? 263 5.7.2 EXAMPLES OF
CONSISTENCY IN LASER SYSTEMS 265
5.7.3 APPLICATION OF CONSISTENCY 269 5.7.3.1 NONINVASIVE TESTING 269
5.7.3.2 ANALYSIS OF BRAIN DYNAMICS AND LEARNING PROCESS IN THE BRAIN 269
5.7.3.3 PHYSICAL ONE-WAY FUNCTION 269 5.7.3.4 TEACHING-LEARNING
METHODOLOGIES 270 5.7.3.5 DESIGN OF DRUG DELIVERY 270 APPENDIX
5.A.1 PECORA-CARROLL METHOD FOR SYNCHRONIZATION OF CHAOS 270 5.A.2
GENERAL FORMULA OF LINEARIZED EQUATIONS FOR COUPLED DIFFERENTIAL
EQUATIONS 271 5.A.3 PROCEDURE FOR THE CALCULATION OF THE CONDITIONAL
LYAPUNOV
EXPONENT 273 5.A.4 NUMERICAL MODEL FOR SYNCHRONIZATION OF CHAOS IN
UNIDIRECTIONALLY COUPLED SEMICONDUCTOR LASERS 274 5.A.4.1 COHERENT
OPTICAL FEEDBACK 274
5.A.4.2 POLARIZAITON-ROTATED OPTICAL FEEDBACK 275 5.A.4.3 OPTOELECTRONIC
FEEDBACK (INCOHERENT FEEDBACK) 276 5.A.5 NUMERICAL MODEL FOR
SYNCHRONIZATION OF CHAOS IN UNIDIRECTIONALLY COUPLED ELECTRO-OPTIC
SYSTEMS 277 5.A.6 NUMERICAL MODEL FOR SYNCHRONIZATION OF CHAOS IN
UNIDIRECTIONALLY COUPLED FIBER LASERS 278 5.A.7 NUMERICAL MODEL FOR
SYNCHRONIZATION OF CHAOS IN UNIDIRECTIONALLY COUPLED SOLID-STATE LASERS
279 5.A.7.1 SINGLE-MODE LASER MODEL 279
5.A.7.2 MULTIMODE LASER MODEL WITH SPATIAL HOLE BURNING
(TANG-STATZ-DEMARS EQUATIONS) 280 5.A.8 NUMERICAL MODEL FOR
SYNCHRONIZATION OF CHAOS IN UNIDIRECTIONALLY COUPLED GAS LASERS 281
5.A.9 DEFINITION OF PHASE IN CHAOTIC TEMPORAL WAVEFORM BY THE
HUBERT TRANSFORM 282
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
IMAGE 8
XVIII CONTENTS
6.1.1 EXPERIMENTAL SETUP FOR SYNCHRONIZATION OF CHAOS 285
6.1.2 EXPERIMENTAL RESULTS OF SYNCHRONIZATION OF CHAOS 287 6.1.3
PARAMETER DEPENDENCE OF SYNCHRONIZATION OF CHAOS 290 6.2 MODEL FOR
SYNCHRONIZATION OF CHAOS IN TWO COUPLED SEMICONDUCTOR LASERS WITH
OPTICAL FEEDBACK 293
6.2.1 LANG-KOBAYASHI EQUATIONS FOR SYNCHRONIZATION OF CHAOS IN
UNIDIRECTIONALLY COUPLED SEMICONDUCTOR LASERS WITH OPTICAL FEEDBACK 293
6.2.1.1 COUPLED LANG-KOBAYASHI EQUATIONS 293
6.2.1.2 IDENTICAL SYNCHRONOUS SOLUTION 295 6.2.2 DERIVATION OF THE
ELECTRIC-FIELD AMPLITUDE AND PHASE OF THE COUPLED LANG-KOBAYASHI
EQUATIONS FROM THE COMPLEX ELECTRIC-FIELD EQUATIONS 296
6.2.3 DERIVATION OF THE REAL AND IMAGINARY ELECTRIC FIELDS OF THE
COUPLED LANG-KOBAYASHI EQUATIONS FROM THE COMPLEX ELECTRIC- FIELD
EQUATIONS 299 6.3 NUMERICAL ANALYSIS ON SYNCHRONIZATION OF CHAOS IN
UNIDIRECTIONALLY
COUPLED SEMICONDUCTOR LASERS WITH OPTICAL FEEDBACK 300 6.3.1 MEASURES
FOR SYNCHRONIZATION OF CHAOS 300 6.3.1.1 TWO TYPES OF SYNCHRONIZATION
AND CROSS-CORRELATION VALUES 300
6.3.1.2 OPTICAL FREQUENCY DETUNING 302 6.3.2 NUMERICAL RESULTS OF
TEMPORAL WAVEFORMS AND CORRELATION PLOTS 303 6.3.3 PARAMETER DEPENDENCE
OF THE TWO TYPES OF SYNCHRONIZATION 305
6.3.4 LINEAR STABILITY ANALYSIS OF SYNCHRONOUS OSCILLATORY SOLUTIONS FOR
IDENTICAL SYNCHRONIZATION 308 6.3.4.1 LINEARIZED EQUATIONS 308 6.3.4.2
CONDITIONAL LYAPUNOV EXPONENT 309
6.3.4.3 NUMERICAL RESULTS OF CONDITIONAL LYAPUNOV EXPONENT 310 6.3.5
OPEN- VERSUS CLOSED-LOOP CONFIGURATIONS 312 6.4 EXPERIMENTAL ANALYSIS ON
GENERALIZED SYNCHRONIZATION WITH LOW
CORRELATION IN THREE SEMICONDUCTOR LASERS IN THE AUXILIARY SYSTEM
APPROACH 313 6.4.1 EXPERIMENTAL SETUP FOR GENERALIZED SYNCHRONIZATION
WITH LOW CORRELATION IN THE AUXILIARY SYSTEM APPROACH 314
6.4.2 EXPERIMENTAL RESULTS OF GENERALIZED SYNCHRONIZATION 316 6.4.3
PARAMETER DEPENDENCE OF GENERALIZED SYNCHRONIZATION 320 6.4.4 DEPENDENCE
OF GENERALIZED SYNCHRONIZATION ON OPTICAL PHASE OF FEEDBACK LIGHT 322
6.5 MODEL FOR GENERALIZED SYNCHRONIZATION WITH LOW CORRELATION IN THREE
SEMICONDUCTOR LASERS IN THE AUXILIARY SYSTEM APPROACH 324 6.5.1 COUPLED
LANG-KOBAYASHI EQUATIONS FOR GENERALIZED SYNCHRONIZATION IN THE
AUXILIARY SYSTEM APPROACH 325
IMAGE 9
CONTENTS XIX
6.5.2 SYNCHRONOUS SOLUTIONS FOR GENERALIZED SYNCHRONIZATION IN THE
AUXILIARY SYSTEM APPROACH 327 6.6 NUMERICAL ANALYSIS ON GENERALIZED
SYNCHRONIZATION OF CHAOS IN THREE SEMICONDUCTOR LASERS IN THE AUXILIARY
SYSTEM APPROACH 327 6.6.1 TEMPORAL WAVEFORMS 329
6.6.2 PARAMETER DEPENDENCE OF GENERALIZED SYNCHRONIZATION 329 6.6.3
LINEAR STABILITY ANALYSIS OF SYNCHRONOUS OSCILLATORY SOLUTIONS FOR
GENERALIZED SYNCHRONIZATION 331 6.6.3.1 LINEARIZED EQUATIONS 331
6.6.3.2 CONDITIONAL LYAPUNOV EXPONENT 333 6.6.3.3 NUMERICAL RESULTS OF
CONDITIONAL LYAPUNOV EXPONENT 334 6.6.4 TWO-DIMENSIONAL MAP 334 6.6.5
DEPENDENCE OF SYNCHRONIZATION QUALITY ON OPTICAL PHASE OF
FEEDBACK LIGHT IN THE CLOSED-LOOP CONFIGURATION 336 APPENDIX 6.A.I RATE
EQUATIONS FOR IDENTICAL SYNCHRONIZATION IN UNIDIRECTIONALLY COUPLED
SEMICONDUCTOR LASERS WITH OPTICAL FEEDBACK IN THE
CLOSED-LOOP CONFIGURATION 337
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
7.1.1 CRYPTOGRAPHY 343 7.1.2 STEGANOGRAPHY 344 7.1.3 NOISE COMMUNICATION
346 7.2 CONCEPT OF CHAOS COMMUNICATION 346
7.2.1 BASIC IDEA OF CHAOS COMMUNICATION 346 7.2.2 FEATURES OF CHAOS
COMMUNICATION 348 7.2.3 HARDWARE KEYS 348
7.2.4 SYNCHRONIZATION FOR CHAOS COMMUNICATION 349 7.3 CHARACTERISTICS OF
CHAOS COMMUNICATION 351 7.3.1 HARDWARE-BASED COMMUNICATION 351
7.3.2 CHAOS-SYNCHRONIZATION-BASED COMMUNICATION 351 7.3.3 PRIVACY 352
7.3.4 COMPATIBILITY 352 7.3.5 ANALOG COMMUNICATION 353
7.3.6 SUBCARRIER COMMUNICATION 353 7.3.7 COHERENT COMMUNICATION 353
7.3.8 MULTIPLEXING AND NOISE TOLERANCE 353 7.4 ENCODING AND DECODING
TECHNIQUES 354
7 A.I CHAOS MASKING 354 7.4.2 CHAOS MODULATION 357 7A.3 CHAOS SHIFT
KEYING 360
IMAGE 10
XX CONTENTS
7.5 TOOLS FOR QUANTITATIVE EVALUATION OF PERFORMANCE OF CHAOS
COMMUNICATION 362 7.5.1 BIT ERROR RATE, Q FACTOR, AND SIGNAL-TO-NOISE
RATIO 362 7.5.2 MODULATION FORMAT AND EYE DIAGRAM 365
IMPLEMENTATION OF OPTICAL COMMUNICATION WITH CHAOTIC LASERS 369 8.1
HISTORY OF CHAOS COMMUNICATION 369 8.1.1 CHAOS COMMUNICATION IN
ELECTRONIC CIRCUITS 369 8.1.2 CHAOS COMMUNICATION IN OPTICAL SYSTEMS 370
8.1.3 EUROPEAN PROJECT FOR CHAOS COMMUNICATION 375 8.2 EXAMPLES OF
COMMUNICATION SYSTEMS WITH VARIOUS CHAOTIC LASERS 377 8.2.1
SEMICONDUCTOR LASERS WITH OPTICAL FEEDBACK 377 8.2.1.1 FIELD EXPERIMENT
OF CHAOS COMMUNICATION 377
8.2.1.2 TRANSMISSION OF TV VIDEO SIGNAL 381 8.2.2 SEMICONDUCTOR LASERS
WITH OPTOELECTRONIC FEEDBACK 383 8.2.3 ELECTRO-OPTIC SYSTEMS 384 8.2.4
FIBER LASERS 386 8.3 PERFORMANCE EVALUATION OF OPTICAL COMMUNICATION
WITH
CHAOTIC LASERS 390 8.3.1 SUBCARRIER MODULATION 390 8.3.2 PHOTONIC
INTEGRATED CIRCUIT AND FORWARD ERROR CORRECTION FOR HIGH-PERFORMANCE
CHAOS COMMUNICATION 394
8.3.2.1 PHOTONIC INTEGRATED CIRCUIT 394 8.3.2.2 CHAOS COMMUNICATION
EXPERIMENT 396 8.3.2.3 FORWARD ERROR CORRECTION TECHNIQUE 397 8.3.2.4
BIT-ERROR-RATE (BER) PERFORMANCE 397 8.3.2.5 ANALYSIS FOR UNAUTHORIZED
USERS 399 8.3.3 OPTICAL PHASE CHAOS FOR 10-GB/S CHAOS COMMUNICATION 400
8.3.4 COMPARISON OF THE ENCODING AND DECODING SCHEMES FOR CHAOS
COMMUNICATION 403
8.4 PRIVACY ISSUES IN OPTICAL COMMUNICATION WITH CHAOTIC LASERS 405
8.4.1 INTRODUCTION 405 8.4.2 RECONSTRUCTION OF MODEL AND PARAMETER
SETTINGS BY TIME-SERIES ANALYSIS 406
8.4.3 PARAMETER ESTIMATION BY USING SIMILAR HARDWARE 406 8.4.4 PARAMETER
ESTIMATION BY TIME-SERIES ANALYSIS 408 8.4.5 DIRECT DETECTION OF
PRESENCE OF MESSAGE FROM TIME-SERIES ANALYSIS 409 8.4.6 SUMMARY OF
PRIVACY ISSUES 410 8.5 PHOTONIC INTEGRATED CIRCUIT FOR OPTICAL
COMMUNICATION WITH
CHAOTIC LASERS 410 8.5.1 PHOTONIC INTEGRATED CIRCUIT FOR A SEMICONDUCTOR
LASER WITH ALL-OPTICAL FEEDBACK 411 8.5.2 PHOTONIC INTEGRATED CIRCUIT
FOR TWO MUTUALLY COUPLED
SEMICONDUCTOR LASERS 413
IMAGE 11
CONTENTS XXI
8.5.3 PHOTONIC INTEGRATED CIRCUIT FOR COLLIDING-PULSE
MODE-LOCKED LASERS 415 8.6 OTHER ENCODING AND DECODING TECHNIQUES 417
8.6.1 SPATIOTEMPORAL ENCODING 417 8.6.2 POLARIZATION ENCODING 419
8.6.3 MULTIPLEXING COMMUNICATIONS 421 8.7 NEW PERSPECTIVE OF OPTICAL
COMMUNICATION WITH CHAOTIC LASERS 423 8.7.1 ANALOGY TO BIOLOGICAL
COMMUNICATION SYSTEMS 423 8.7.2 TOWARDS THE WORLD OF SCIENTIFIC FICTION
424
9 SECURE KEY DISTRIBUTION BASED ON INFORMATION-THEORETIC SECURITY WITH
CHAOTIC LASERS 427 9.1 INTRODUCTION 427 9.1.1 SECURE KEY DISTRIBUTION
427
9.1.2 COMPUTATIONAL SECURITY AND INFORMATION-THEORETIC SECURITY 428 9.2
CONCEPT OF INFORMATION-THEORETIC SECURITY 429 9.2.1 HISTORY OF
INFORMATION-THEORETIC SECURITY AND MAURER'S SATELLITE SCENARIO 429
9.2.2 BOUNDED OBSERVABILITY 430 9.3 IMPLEMENTATION OF
INFORMATION-THEORETIC SECURITY WITH CHAOTIC LASERS 431
9.3.1 BOUNDED OBSERVABILITY WITH CHAOTIC SEMICONDUCTOR LASERS 431 9.3.2
PUBLIC-CHANNEL CRYPTOGRAPHY WITH COUPLED CHAOTIC SEMICONDUCTOR LASERS
435 9.3.3 BIDIRECTIONAL MESSAGE TRANSMISSION WITH MUTUALLY COUPLED
SEMICONDUCTOR LASERS 439 9.4 INFORMATION-THEORETIC SECURITY WITH OPTICAL
NOISE 441 9.4.1 ULTRALONG FIBER-LASER SYSTEM 441
10 RANDOM NUMBER GENERATION WITH CHAOTIC LASERS 445 10.1 INTRODUCTION
445 10.1.1 NEEDS FOR RANDOM NUMBER GENERATION 445 10.1.2 EXTRACTION OF
RANDOMNESS FROM CHAOTIC LASERS 447 10.2 TYPES OF RANDOM NUMBER
GENERATORS 447
10.2.1 WHAT ARE RANDOM NUMBERS? 447 10.2.1.1 INDEPENDENCE 448 10.2.1.2
UNPREDICTABILITY 449 10.2.2 TWO TYPES OF RANDOM NUMBER GENERATORS 449
10.2.2.1 PHYSICAL RANDOM NUMBER GENERATORS (RNG) 449 10.2.2.2
PSEUDORANDOM NUMBER GENERATORS (PRNG) 453 10.2.3 ISSUES OF CONVENTIONAL
RANDOM NUMBER GENERATORS 453 10.3 EXAMPLES OF RANDOM NUMBER GENERATORS
WITH CHAOTIC LASERS 452 10.3.1 MONOBIT GENERATION WITH TWO LASERS 452
10.3.1.1 SCHEME 452 10.3.1.2 PARAMETER DEPENDENCE 457
IMAGE 12
XXII CONTENTS
10.3.2 MONOBIT GENERATION WITH ONE LASER 460
10.3.3 MULTIBIT GENERATION WITH ONE LASER 461 10.3.4 POSTPROCESSING FOR
HIGH-SPEED RANDOM NUMBER GENERATION 463 10.3.5 BANDWIDTH ENHANCEMENT OF
CHAOTIC LASERS FOR HIGH-SPEED
RANDOM NUMBER GENERATION 465 10.3.6 PHOTONIC INTEGRATED CIRCUIT FOR
RANDOM BIT GENERATORS 469 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 10.5.1 ENTROPY GENERATION FROM INTERNAL NOISE BY
CHAOTIC DYNAMICS 475
10.5.2 ESTIMATION OF ENTROPY 477 10.5.3 ENTROPY RATE AND
NONDETERMINISTIC BIT GENERATION 478 10.6 CONVENTIONAL METHODS FOR
PHYSICAL RANDOM NUMBER GENERATORS 480 10.6.1 THERMAL NOISE 480
10.6.1.1 DIRECT AMPLIFICATION OF THERMAL NOISE 480 10.6.1.2
METASTABILITY 481 10.6.1.3 TWO OSCILLATORS WITH FREQUENCY JITTER 482
10.6.2 QUANTUM NOISE 484 10.6.3 OPTICAL NOISE (SPONTANEOUS EMISSION
NOISE) 485 10.6.4 RADIATION FROM RADIOACTIVE NUCLIDE 486 10.6.5 CHAOTIC
DYNAMICS IN ELECTRONIC CIRCUITS 487
10.6.6 TRADITIONAL PHYSICAL DEVICES 487 10.6.7 OTHER METHODS 488 10.6.8
COMMERCIAL PHYSICAL RANDOM NUMBER GENERATORS 488 10.6.8.1 INTEL CHIP
(INTEL) 488
10.6.8.2 RANDOM MASTER (TOSHIBA) 489 10.6.8.3 RANDOM STREAMER (FDK) 490
10.6.8.4 QUANTIS (ID QUANTIQUE) 490 10.7 POSTPROCESSING TECHNIQUES FOR
IMPROVEMENT OF RANDOMNESS 490 10.7.1 VON NEUMANN METHOD 491 10.7.2
EXDUSIVE-OR (XOR) METHOD 492 10.8 PSEUDORANDOM NUMBER GENERATORS 493
10.8.1 LINEAR CONGRUENTIAL METHOD 493 10.8.2 M SEQUENCE AND GENERALIZED
FEEDBACK SHIFT REGISTER
(GFSR) 494
10.8.3 COMBINED TAUSWORTHE METHOD 496 10.8.4 MERSENNE TWISTER 496 10.9
STATISTICAL EVALUATION OF RANDOM NUMBERS WITH NIST SPECIAL PUBLICATION
800-22 TEST SUITE 497
10.9.1 STRATEGIES FOR STATISTICAL ANALYSIS OF RANDOM NUMBER GENERATORS
497 10.9.2 EVALUATION OF P-VALUES 499
IMAGE 13
CONTENTS XXIII
10.9.3 INTERPRETATION OF EMPIRICAL RESULTS 501
10.9.3.1 PROPORTION OF P-VALUES 501 10.9.3.2 UNIFORMITY OF DISTRIBUTION
OF P-VALUES 501 10.9.4 TENDENCY OF PASSED/FAILED NIST SP 800-22 TESTS IN
LASER-CHAOS-BASED RANDOM NUMBER GENERATORS 502 10.9.5 OTHER STATISTICAL
TESTS OF RANDOMNESS 503 APPENDIX 10.A.1 RECIPE FOR HIGH-QUALITY RANDOM
NUMBER GENERATORS 503 10.A.2 DICHTL METHOD FOR POSTPROCESSING OF RANDOM
NUMBER
GENERATORS 504
10.A.3 ALGORITHM OF MERSENNE TWISTER PSEUDORANDOM NUMBER GENERATOR 505
10.A.4 DETAILED DESCRIPTION OF NIST SPECIAL PUBLICATION 800-22 506
10.A.4.1 FREQUENCY (MONOBIT) TEST 506
10.A.4.2 FREQUENCY TEST WITHIN A BLOCK 506 10.A.4.3 CUMULATIVE SUMS
(CUSUMS) TEST 506 10.A.4.4 RUNS TEST 507 10.A.4.5 TESTS FOR THE
LONGEST-RUN-OF-ONES IN A BLOCK 507
10.A.4.6 BINARY MATRIX RANK TEST 507 10.A.4.7 DISCRETE FOURIER TRANSFORM
(SPECTRAL) TEST 507 10.A.4.8 NON-OVERLAPPING TEMPLATE MATCHING TEST 507
10.A.4.9 OVERLAPPING TEMPLATE MATCHING TEST 507
10.A.4.10 MAURER'S "UNIVERSAL STATISTICAL" TEST 508 10.A.4.11
APPROXIMATE ENTROPY TEST 508 10.A.4.12 RANDOM EXCURSIONS TEST 508
10.A.4.13 RANDOM EXCURSIONS VARIANT TEST 508 10.A.4.14 SERIAL TEST 508
10.A.4.15 LINEAR COMPLEXITY TEST 508
11 CONTROLLING CHAOS IN LASERS 511 11.1 CLASSIFICATION OF CONTROLLING
CHAOS 511 11.1.1 FEEDBACK CONTROL METHOD 513 11.1.1.1 OGY METHOD 511
11.1.1.2 OCCASIONAL PROPORTIONAL FEEDBACK (OPF) METHOD 512 11.1.1.3
CONTINUOUS FEEDBACK CONTROL METHOD 513 11.1.2 NONFEEDBACK CONTROL METHOD
514 11.2 EXAMPLES OF CONTROLLING CHAOS IN LASERS 515
11.2.1 FEEDBACK CONTROL METHOD FOR CONTROLLING CHAOS IN LASERS 535
11.2.1.1 OCCASIONAL PROPORTIONAL FEEDBACK (OPF) METHOD 515 11.2.1.2
CONTINUOUS FEEDBACK CONTROL METHOD 518
11.2.2 NONFEEDBACK CONTROL METHOD FOR CONTROLLING CHAOS IN LASERS 521
11.2.2.1 LOSS MODULATION 523
IMAGE 14
XXIV CONTENTS
11.2.2.2 HIGH-FREQUENCY INJECTION (HFI) METHOD FOR
SEMICONDUCTOR LASERS 523 11.2.2.3 STABILIZATION TO HIGH-PERIODIC
OSCILLATIONS 525 11.3 APPLICATIONS OF CONTROLLING CHAOS IN LASERS 525
11.3.1 SUPPRESSION OF RELATIVE INTENSITY NOISE (RIN) 525
11.3.2 CHAOTIC SEARCH AND ADAPTIVE MODE SELECTION 527 11.3.3 DYNAMICAL
MEMORY 528 11.3.4 COMMUNICATION WITH CHAOS BY CONTROLLING CHAOS 529
APPENDIX
11.A.1 OGY METHOD FOR CONTROLLING CHAOS 530
12 OTHER APPLICATIONS WITH CHAOTIC LASERS 533 12.1 REMOTE SENSING WITH
CHAOTIC LASERS 533 12.1.1 CHAOTIC LIDAR 533 12.1.2 CHAOTIC RADAR 536
12.1.3 CHAOTIC CORRELATION OPTICAL TIME-DOMAIN REFLECTOMETER 539 12.2
BLIND SOURCE SEPARATION OF CHAOTIC SIGNALS BY USING INDEPENDENT
COMPONENT ANALYSIS 542 12.2.1 MOTIVATION FOR BLIND SOURCE SEPARATION 542
12.2.2 PRINCIPLE OF INDEPENDENT COMPONENT ANALYSIS 543 12.2.3 EXAMPLES
OF BLIND-SOURCE SEPARATION WITH CHAOTIC LASERS 544 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.I LIST OF ACRONYMS 575
G.I.I ACRONYMS OF TECHNICAL TERMS 575 G.I.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
LOGISTIC MAP (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
IMAGE 15
CONTENTS XXV
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 |
| any_adam_object | 1 |
| author | Uchida, Atsushi |
| author_GND | (DE-588)1019246618 |
| author_facet | Uchida, Atsushi |
| author_role | aut |
| author_sort | Uchida, Atsushi |
| author_variant | a u au |
| building | Verbundindex |
| bvnumber | BV039826348 |
| classification_rvk | UH 5755 ZN 6280 |
| ctrlnum | (OCoLC)757148934 (DE-599)DNB1013143922 |
| dewey-full | 621.3827 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.3827 |
| dewey-search | 621.3827 |
| dewey-sort | 3621.3827 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| id | DE-604.BV039826348 |
| illustrated | Illustrated |
| indexdate | 2024-07-21T00:21:48Z |
| institution | BVB |
| isbn | 352740869X 9783527408696 9783527640331 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024686364 |
| oclc_num | 757148934 |
| open_access_boolean | |
| owner | DE-11 DE-92 DE-1043 DE-29T DE-83 DE-20 |
| owner_facet | DE-11 DE-92 DE-1043 DE-29T DE-83 DE-20 |
| physical | XXVIII, 640 S. Ill., graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Wiley-VCH |
| record_format | marc |
| spelling | Uchida, Atsushi Verfasser (DE-588)1019246618 aut Optical communication with chaotic lasers applications of nonlinear dynamics and synchronization Atsushi Uchida Weinheim Wiley-VCH 2012 XXVIII, 640 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Nichtlineare Dynamik (DE-588)4126141-0 gnd rswk-swf Optische Nachrichtentechnik (DE-588)4035624-3 gnd rswk-swf Laser (DE-588)4034610-9 gnd rswk-swf Synchronisierung (DE-588)4130847-5 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf Laser (DE-588)4034610-9 s Optische Nachrichtentechnik (DE-588)4035624-3 s Nichtlineare Dynamik (DE-588)4126141-0 s Chaotisches System (DE-588)4316104-2 s Synchronisierung (DE-588)4130847-5 s DE-604 Erscheint auch als Online-Ausgabe, EPUB 978-3-527-64034-8 Erscheint auch als Online-Ausgabe, MOBI 978-3-527-64036-2 Erscheint auch als Online-Ausgabe, PDF 978-3-527-64035-5 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3847396&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024686364&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Uchida, Atsushi Optical communication with chaotic lasers applications of nonlinear dynamics and synchronization Nichtlineare Dynamik (DE-588)4126141-0 gnd Optische Nachrichtentechnik (DE-588)4035624-3 gnd Laser (DE-588)4034610-9 gnd Synchronisierung (DE-588)4130847-5 gnd Chaotisches System (DE-588)4316104-2 gnd |
| subject_GND | (DE-588)4126141-0 (DE-588)4035624-3 (DE-588)4034610-9 (DE-588)4130847-5 (DE-588)4316104-2 |
| title | Optical communication with chaotic lasers applications of nonlinear dynamics and synchronization |
| title_auth | Optical communication with chaotic lasers applications of nonlinear dynamics and synchronization |
| title_exact_search | Optical communication with chaotic lasers applications of nonlinear dynamics and synchronization |
| title_full | Optical communication with chaotic lasers applications of nonlinear dynamics and synchronization Atsushi Uchida |
| title_fullStr | Optical communication with chaotic lasers applications of nonlinear dynamics and synchronization Atsushi Uchida |
| title_full_unstemmed | Optical communication with chaotic lasers applications of nonlinear dynamics and synchronization Atsushi Uchida |
| title_short | Optical communication with chaotic lasers |
| title_sort | optical communication with chaotic lasers applications of nonlinear dynamics and synchronization |
| title_sub | applications of nonlinear dynamics and synchronization |
| topic | Nichtlineare Dynamik (DE-588)4126141-0 gnd Optische Nachrichtentechnik (DE-588)4035624-3 gnd Laser (DE-588)4034610-9 gnd Synchronisierung (DE-588)4130847-5 gnd Chaotisches System (DE-588)4316104-2 gnd |
| topic_facet | Nichtlineare Dynamik Optische Nachrichtentechnik Laser Synchronisierung Chaotisches System |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3847396&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024686364&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT uchidaatsushi opticalcommunicationwithchaoticlasersapplicationsofnonlineardynamicsandsynchronization |