Localized states in physics: solitons and patterns
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| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2011
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XVIII, 286 S. Ill., graph. Darst. 24 cm |
| ISBN: | 9783642165481 |
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IMAGE 1
CONTENTS
PART I SOLITONS, SELF-CONFINED LIGHT AND OPTICAL TURBULENCE 1 LIGHT
SELF-TRAPPING IN NEMATIC LIQUID CRYSTALS 3
MIROSLAW A. KARPIERZ AND GAETANO ASSANTO 1.1 INTRODUCTION 3
1.2 REORIENTATIONAL SELF-FOCUSING IN NEMATIC LIQUID CRYSTALS 4 1.3
SPATIAL OPTICAL SOLITONS IN PURELY NEMATIC LIQUID CRYSTALS 7 1.4 SPATIAL
OPTICAL SOLITONS IN CHIRAL NEMATIC LIQUID CRYSTALS 11 1.5 CONCLUSIONS 14
REFERENCES 15
2 PHOTONIC PLASMA INSTABILITIES AND SOLITON TURBULENCE IN SPATIALLY
INCOHERENT LIGHT 17
DMITRY V. DYLOV AND JASON W. FLEISCHER 2.1 INTRODUCTION 18
2.2 BASIC THEORY AND FORMALISM 19
2.2.1 WIGNER FORMALISM 19
2.2.2 INITIAL STAGES OF INSTABILITY. LINEAR PERTURBATION THEORY . 21
2.2.3 GROWTH RATE AND CONDITIONS FOR WEAK/STRONG TURBULENCE 22 2.2.4
DEBYE SCALING 24
2.3 QUASI-LINEAR APPROXIMATION 25
2.3.1 GENERAL DERIVATION , 26
2.3.2 BUMP-ON-TAIL DYNAMICS 27
2.4 NUMERICAL ANALYSIS 28
2.4.1 NUMERICAL RESULTS FOR BOT INSTABILITY 28
2.4.2 NUMERICAL RESULTS FOR MULTIPLE BOT INSTABILITY 29 2.5 EXPERIMENTAL
OBSERVATION 30
2.5.1 EXPERIMENTAL SETUP 30
2.5.2 SINGLE BUMP-ON-TAIL INSTABILITY 31
2.5.3 HOLOGRAPHIC READOUT OF DYNAMICS 34
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1006975829
DIGITALISIERT DURCH
IMAGE 2
X CONTENTS
2.5.4 MULTIPLE BUMP-ON-TAIL INSTABILITY AND LONG-RANGE TURBULENCE
SPECTRA 35
2.6 DISCUSSION AND CONCLUSIONS 37
REFERENCES 37
3 GAP-ACOUSTIC SOLITONS: SLOWING AND STOPPING OF LIGHT 41 RICHARD S.
TASGAL, ROMAN SHNAIDERMAN, AND YEHUDA B. BAND 3.1 INTRODUCTION 42
3.2 DERIVATION OF THE EQUATIONS 45
3.2.1 ELECTROMAGNETIC FIELD EQUATIONS WITH PHONON PERTURBATIONS 45
3.2.2 ACOUSTIC WAVE EQUATIONS WITH ELECTROSTRICTIVE PERTURBATIONS 48
3.2.3 THE BRAGG-BRILLOUIN-KERR SYSTEM 51
3.3 LAGRANGIAN, HAMILTONIAN, AND CONSERVED QUANTITIES 51 3.3.1
DIMENSIONLESS VARIABLES 53
3.4 GAP-ACOUSTIC SOLITONS 54
3.5 SOLITON STABILITY AND INSTABILITY 57
3.6 SUMMARY AND CONCLUSIONS 64
REFERENCES 66
4 OPTICAL WAVE TURBULENCE AND WAVE CONDENSATION IN A NONLINEAR OPTICAL
EXPERIMENT 67
JASON LAURIE, UMBERTO BORTOLOZZO, SERGEY NAZARENKO AND STEFANIA RESIDORI
4.1 INTRODUCTION 68
4.2 EXPERIMENTAL SETUP 69
4.3 THEORETICAL BACKGROUND 70
4.3.1 EVOLUTION EQUATION 70
4.3.2 LONG-WAVE MODEL 71
4.3.3 THE FJ0RTOFT ARGUMENT 72
4.3.4 HAMILTONIAN FORMULATION 74
4.3.5 CANONICAL TRANSFORMATION 75
4.3.6 THE KINETIC WAVE EQUATION 76
4.3.7 MODULATIONAL INSTABILITY AND THE CREATION OF SOLITONS. 79 4.4
NUMERICAL METHOD 80
4.5 EXPERIMENTAL AND NUMERICAL RESULTS 80
4.5.1 DIRECT CASCADE OF ENERGY 84
4.6 CONCLUSIONS 85
4.7 ACKNOWLEDGEMENTS 86
REFERENCES 86
IMAGE 3
CONTENTS XI
PART II LOCALIZED STRUCTURES IN PATTERN FORMING SYSTEMS
5 LOCALIZED STRUCTURES IN THE LIQUID CRYSTAL LIGHT VALVE EXPERIMENT . 91
UMBERTO BORTOLOZZO, MARCEL G. CLERC, RENE G. ROJAS, FLORENCE HAUDIN AND
STEFANIA RESIDORI 5.1 INTRODUCTION 92
5.2 THE LIQUID CRYSTAL LIGHT VALVE EXPERIMENT 93
5.2.1 DESCRIPTION OF THE SETUP 93
5.2.2 THE OPTICAL FEEDBACK: MODEL EQUATIONS 95
5.3 EXPERIMENTAL OBSERVATIONS OF OPTICAL LOCALIZED STRUCTURES 97 5.3.1
ROUND LOCALIZED STRUCTURES: INTERACTION AND DYNAMICS. 97 5.3.2
TRIANGULAR LOCALIZED STRUCTURES: BISTABILITY AND PHASE SINGULARITIES 98
5.3.3 BIPATTERNS AND LOCALIZED PEAKS 100
5.3.4 ID SPATIALLY FORCED MODEL 101
5.4 CONTROL OF OPTICAL LOCALIZED STRUCTURES 102
5.4.1 PINNING RANGE AND LOCALIZED STRUCTURES 102
5.4.2 CONTROLLED STORAGE OF LOCALIZED STRUCTURES MATRICES 103 5.5
PROPAGATION PROPERTIES OF OPTICAL LOCALIZED STRUCTURES 105 5.6
CONCLUSIONS 107
REFERENCES 107
6 CONVECTONS 109
ARANTXA ALONSO, ORIOL BATISTE, EDGAR KNOBLOCH AND ISABEL MERCADER 6.1
INTRODUCTION 109
6.2 CONVECTONS WITH PERIODIC BOUNDARY CONDITIONS 112
6.3 CONVECTONS WITH ICCBC 116
6.4 MULTICONVECTONS 118
6.5 LOCALIZED TRAVELING WAVES 119
6.6 INTERPRETATION 120
6.7 SUMMARY 123
REFERENCES 124
7 MORPHOLOGICAL CHARACTERIZATION OF LOCALIZED HEXAGONAL PATTERNS . 127
DANIEL ESCAFF DIXON 7.1 INTRODUCTION 127
7.2 PROTOTYPICAL MODEL FOR HEXAGON FORMATION 129
7.3 LOCALIZED HEXAGONAL STATES: GEOMETRICAL CONSIDERATIONS AND
MORPHOLOGICAL CHARACTERIZATIONS 130
7.4 HEURISTIC DESCRIPTION OF THE LOCALIZATION PROCESS 133 7.5 THECASEOF
A LOCALIZED LINE OF CELLS 135
7.6 CONCLUSIONS AND PERSPECTIVE 137
REFERENCES 138
IMAGE 4
XII CONTENTS
PART III LOCALIZED STRUCTURES FOR OPTICAL APPLICATIONS
8 CAVITY SOLITONS IN VERTICAL CAVITY SURFACE EMITTING LASERS AND THEIR
APPLICATIONS 141
MASSIMO GIUDICI, FRANCESCO PEDACI, EMILIE CABOCHE, PATRICE GENEVET,
STEPHANE BARLAND, JORGE TREDICCE, GIOVANNA TISSONI AND LUIGI LUGIATO 8.1
INTRODUCTION 142
8.2 CS MOTION 143
8.2.1 NUMERICAL ANALYSIS OF CS MOTION IN A CONSTANT PHASE GRADIENT 144
8.2.2 EXPERIMENTAL EVIDENCE OF CS MOTION IN A CONSTANT PHASE GRADIENT
146
8.3 APPLICATIONS OF CS MOVEMENT 150
8.3.1 CS DRIFT IN A CONSTANT GRADIENT 150
8.3.2 EXPERIMENTAL REALIZATION OF RECONFIGURABLE CS ARRAYS 151 8.4 CS
MOTION AND DEVICE DEFECTS 155
8.4.1 CS FORCE MICROSCOPE 156
8.4.2 MODELING OF AN INHOMOGENEOUS DEVICE 157
8.4.3 INTERACTION BETWEEN PHASE GRADIENT AND DEFECTS: THE CS TAP 158 8.5
CONCLUSIONS 165
REFERENCES 166
9 CAVITY SOLITON LASER BASED ON COUPLED MICRO-RESONATORS 169 PATRICE
GENEVET, STEPHANE BARLAND, MASSIMO GIUDICI, AND JORGE R. TREDICCE 9.1
INTRODUCTION 170
9.2 EXPERIMENTAL SETUP 171
9.3 BISTABILITY REGIME 173
9.3.1 MULTISTAGE REGIME 175
9.3.2 LOCAL BIFURCATION DIAGRAM 176
9.3.3 TOWARDS THE WHOLE BIFURCATION DIAGRAM 178
9.4 COHERENCE PROPERTIES OF LASER SOLITONS 181
9.4.1 MODAL PROPERTIES 182
9.5 CONCLUSIONS AND PERSPECTIVES 184
REFERENCES 185
10 CAVITY SOLITON LASER BASED ON A VCSEL WITH SATURABLE ABSORBER 187
GIOVANNA TISSONI, KEIVAN M. AGHDAMI, FRANCO PRATI, MASSIMO BRAMBILLA AND
LUIGI A. LUGIATO 10.1 INTRODUCTION 188
10.2 THE MODEL 190
10.2.1 BISTABILITY 191
10.2.2 PLANE WAVE INSTABILITIES 193
10.2.3 PATTERN FORMING INSTABILITIES 193
10.3 CS SWITCHING TECHNIQUES 194
IMAGE 5
CONTENTS XIII
10.3.1 SWITCHING DYNAMICS 196
10.3.2 SWITCHING ENERGY 201
10.4 STABILITY OF THE CS 203
10.5 MOTION OF THE CS IN A FINITE DEVICE 206
10.5.1 CIRCULAR PUMP 206
10.6 CONCLUSIONS 208
REFERENCES 210
11 DYNAMIC CONTROL OF LOCALIZED STRUCTURES IN A NONLINEAR FEEDBACK
EXPERIMENT 213
MOUSA AYOUB, BJOERN GUETLICH, CORNELIA DENZ, FRANCESCO PAPOFF, GIAN-LUCA
OPPO, AND WILLIAM J. FIRTH 11.1 INTRODUCTION 214
11.2 SELF-ORGANIZED LOCALIZED STRUCTURES IN FEEDBACK SYSTEMS 215 11.3
LOCALIZED STRUCTURES IN A SINGLE-FEEDBACK SYSTEM USING A LIQUID CRYSTAL
LIGHT VALVE AS A NONLINEARITY 219
11.3.1 FORMATION OF LOCALIZED STRUCTURES 221
11.4 BOUNDARY-INDUCED LOCALIZED STRUCTURES IN LCLV 223 11.5 DYNAMIC AND
STATIC POSITION CONTROL OF FEEDBACK LOCALIZED STATES . 227 11.6
GRADIENT INDUCED MOTION CONTROL OF FEEDBACK LOCALIZED STRUCTURES .231
11.7 SUMMARY 236
REFERENCES 236
PART IV EXCITABILITY AND LOCALIZED STATES
12 INTERACTION OF OSCILLATORY AND EXCITABLE LOCALIZED STATES IN A
NONLINEAR OPTICAL CAVITY 241
DAMIA GOMILA, ADRIAN JACOBO, MANUEL A. MATIAS, AND PERE COLET 12.1
INTRODUCTION 241
12.2 MODEL 242
12.3 OVERVIEW OF THE BEHAVIOR OF LOCALIZED STATES 243
12.3.1 HOPF BIFURCATION 244
12.3.2 SADDLE-LOOP BIFURCATION 244
12.3.3 EXCITABILITY 246
12.4 INTERACTION OF TWO OSCILLATING LOCALIZED STATES 246
12.4.1 FULL SYSTEM 247
12.4.2 SIMPLE MODEL: TWO COUPLED LANDAU-STUART OSCILLATORS .251 12.5
INTERACTION OF EXCITABLE LOCALIZED STATES: LOGICAL GATES 259 12.6
SUMMARY 263
REFERENCES 263
13 LURCHING WAVES IN THALAMIC NEURONAL NETWORKS 265
JAIME E. CISTERNAS, THOMAS M. WASYLENKO, AND IOANNIS G. KEVREKIDIS 13.1
INTRODUCTION 265
13.2 THE MODEL 267
13.2.1 SMOOTH AND LURCHING WAVES 270
IMAGE 6
XIV CONTENTS
13.3 EXPLORATION OF PARAMETER SPACE AND CONTINUATION 272 13.3.1 DIRECT
TIME INTEGRATION 272
13.3.2 CONTINUATION USING NEWTON METHOD 274
13.3.3 PSEUDO-ARCLENGTH CONTINUATION 278
13.4 DISCUSSION 279
REFERENCES 280
INDEX 283 |
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| indexdate | 2024-07-20T10:55:42Z |
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| isbn | 9783642165481 |
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| spelling | Localized states in physics solitons and patterns Orazio Descalzi ... ed. Berlin [u.a.] Springer 2011 XVIII, 286 S. Ill., graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Literaturangaben Soliton (DE-588)4135213-0 gnd rswk-swf Musterbildung (DE-588)4137934-2 gnd rswk-swf Lokalisierter Zustand (DE-588)4286827-0 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 2008 Santiago de Chile gnd-content Lokalisierter Zustand (DE-588)4286827-0 s Musterbildung (DE-588)4137934-2 s Soliton (DE-588)4135213-0 s DE-604 Descalzi, Orazio (DE-588)113975384 edt X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3537174&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=020874602&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Localized states in physics solitons and patterns Soliton (DE-588)4135213-0 gnd Musterbildung (DE-588)4137934-2 gnd Lokalisierter Zustand (DE-588)4286827-0 gnd |
| subject_GND | (DE-588)4135213-0 (DE-588)4137934-2 (DE-588)4286827-0 (DE-588)1071861417 |
| title | Localized states in physics solitons and patterns |
| title_auth | Localized states in physics solitons and patterns |
| title_exact_search | Localized states in physics solitons and patterns |
| title_full | Localized states in physics solitons and patterns Orazio Descalzi ... ed. |
| title_fullStr | Localized states in physics solitons and patterns Orazio Descalzi ... ed. |
| title_full_unstemmed | Localized states in physics solitons and patterns Orazio Descalzi ... ed. |
| title_short | Localized states in physics |
| title_sort | localized states in physics solitons and patterns |
| title_sub | solitons and patterns |
| topic | Soliton (DE-588)4135213-0 gnd Musterbildung (DE-588)4137934-2 gnd Lokalisierter Zustand (DE-588)4286827-0 gnd |
| topic_facet | Soliton Musterbildung Lokalisierter Zustand Konferenzschrift 2008 Santiago de Chile |
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