Spatial solitons: with 7 tables
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2001
|
| Schriftenreihe: | Springer series in optical sciences
82 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XX, 454 S. graph. Darst. |
| ISBN: | 3540416536 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804128567019175936 |
|---|---|
| adam_text | STEFANO TRILLO WILLIAM TORRUELLAS (EDS.) SPATIAL SOLITONS WITH 194
FIGURES AND 7 TABLES SPRINGER CONTENTS LIST OF CONTRIBUTORS XVII
INTRODUCTION TO SPATIAL SOLITONS RAYMOND Y. CHIAO 1 1 INTRODUCTION 1 2
SOLITONS IN ONE TRANSVERSE DIMENSION 2 3 EXPERIMENTS 7 4 NEW DIRECTIONS
8 ACKNOWLEDGMENTS 16 REFERENCES 16 MATERIALS FOR SPATIAL SOLITONS BARRY
LUTHER-DAVIES AND GEORGE I. STEGEMAN 19 1 INTRODUCTION 19 2 THIRD-ORDER
KERR AND KERR-LIKE SATURATING NONLINEARITIES 20 3 HIGHER-ORDER KERR-LIKE
NONLINEARITIES 25 4 PHOTOREFRACTIVE MATERIALS 27 5 SECOND-ORDER
NONLINEARITIES FOR QUADRATIC SOLITONS 29 6 CONCLUSIONS 32 REFERENCES 33
ONE-DIMENSIONAL SPATIAL SOLITONS IN KERR MEDIA YARON SILBERBERG AND
GEORGE I. STEGEMAN 37 1 INTRODUCTION 37 2 EARLY AND MISCELLANEOUS
EXPERIMENTS 38 3 SPATIAL SOLITONS IN HOMOGENEOUS SEMICONDUCTOR
WAVEGUIDES .... 40 3.1 HOMOGENEOUS ALGAAS PASSIVE WAVEGUIDES 41 3.1.1
WEAK-BEAM-SPATIAL-SOLITON INTERACTIONS 43 3.1.2 DRAGGING AND TRAPPING OF
ORTHOGONALLY POLARIZED SPATIAL SOLITONS 44 3.1.3 GENERATION OF MANAKOV
SOLITONS 47 3.1.4 STABILITY OF ORTHOGONALLY POLARIZED SOLITONS 48 3.1.5
SOLITON RECONFLGURABLE INTERCONNECT 48 3.2 SPATIAL SOLITONS IN
SEMICONDUCTOR OPTICAL AMPLIFIERS 50 X CONTENTS 4 DISCRETE SOLITONS 52 5
SUMMARY 57 REFERENCES 58 PHOTOREFRACTIVE SPATIAL SOLITONS EUGENIO DELRE,
BRUNO CROSIGNANI, AND PAOLO DI PORTO 61 1 INTRODUCTION 61 2
PHOTOREFRACTIVE BEAM NONLINEARITY 61 2.1 SPACE-CHARGE FIELD 62 2.2 BEAM
PROPAGATION 63 3 SELF-TRAPPING MECHANISMS 64 3.1 QUASI-STEADY-STATE
SOLITONS 64 3.2 SCREENING SOLITONS . .- 67 3.2.1 SCREENING SLAB-SOLITONS
71 3.2.2 SCREENING NEEDLE SOLITONS 73 3.2.3 SELF-BENDING 75 3.3
PHOTOVOLTAIC SOLITONS 75 3.4 SELF-TRAPPING IN SEMICONDUCTORS 76 3.5
SELF-TRAPPING IN PARAELECTRICS 76 4 MATERIAL NONLINEARITIES AND SOLITONS
78 5 NONLINEAR BEAM INTERACTIONS 78 6 APPLICATIONS 79 ACKNOWLEDGMENTS 80
REFERENCES 80 INCOHERENT SOLITONS: SELF-TRAPPING OF WEAKLY CORRELATED
WAVEPACKETS MORDECHAI SEGEV AND DEMETRIOS N. CHRISTODOULIDES 87 1
INTRODUCTION, FIRST EXPERIMENTS, AND INTUITION 87 2 THE MODAL THEORY OF
INCOHERENT SOLITONS 92 3 THE COHERENT-DENSITY THEORY AND THE PROPAGATION
OF MUTUAL COHERENCE 97 4 DARK INCOHERENT SOLITONS 101 5 COHERENCE
PROPERTIES OF INCOHERENT SOLITONS 107 6 MODULATIONAL INSTABILITY AND
PATTERN FORMATION WITH INCOHERENT WAVEPACKETS 112 7 EFFECTS OF
ANISOTROPIC COHERENCE AND PROPAGATION DYNAMICS .... 120 8 PROSPECTS 122
DEDICATION AND ACKNOWLEDGMENTS 123 REFERENCES 123 CONTENTS XI QUADRATIC
SOLITONS WILLIAM TORRUELLAS, YURI S. KIVSHAR, AND GEORGE I. STEGEMAN 127
1 INTRODUCTION AND HISTORICAL REMARKS 127 2 SUMMARY OF THEORETICAL
RESULTS 128 2.1 BASIC MODELS FOR QUADRATIC SOLITONS 128 2.2 (1 +
1)-DIMENSIONAL QUADRATIC SOLITONS 131 2.2.1 SOLITONS IN THE CASCADING
LIMIT 131 2.2.2 TWO-WAVE BRIGHT SOLITONS 132 2.2.3 TWO-WAVE DARK
SOLITONS 1 134 2.3 (2 + 1)-DIMENSIONAL QUADRATIC SOLITONS 136 2.3.1
GENERAL REMARKS 136 2.3.2 FUNDAMENTAL CYLINDRICAL SOLITONS 137 2.3.3
SOLITON SCATTERING AND FUSION 139 2.4 IMPORTANT GENERALIZATIONS AND
RELATED PROBLEMS 141 2.4.1 WALKING SOLITONS 141 2.4.2 THREE-WAVE
QUADRATIC SOLITONS 142 2.4.3 COMPETING NONLINEARITIES 143 2.4.4 DOUGHNUT
MODES AND VORTEX SOLITONS 144 2.4.5 QUADRATIC LIGHT BULLETS 145 2.4.6
DISCRETE X^ SYSTEMS AND NONLINEAR PHOTONIC MODES 146 3 SUMMARY OF
EXPERIMENTAL RESULTS 148 3.1 FREELY PROPAGATING SPATIAL SOLITONS 149
3.1.1 (1 + 1)-DIMENSIONAL SPATIAL SOLITONS 149 3.1.2 (2 + 1)-DIMENSIONAL
SPATIAL SOLITONS 150 3.2 TEMPORAL SOLITONS AND LIGHT BULLETS 158 3.3
QUADRATIC SOLITONS IN CAVITIES 159 3.4 SOLITON INTERACTION 160 3.5
TRANSVERSE EFFECTS 160 4 CONCLUDING REMARKS 162 ACKNOWLEDGMENTS 164
REFERENCES 164 BRAGG SOLITONS: THEORY AND EXPERIMENTS C. MARTIJN DE
STERKE, BENJAMIN J. EGGLETON, AND JOHN E. SIPE 169 1 INTRODUCTION 169 2
THEORY OF PERIODIC STRUCTURES 175 2.1 COUPLED-MODE THEORY 175 2.1.1
DISPERSION RELATION AND EIGENFUNCTIONS 178 2.2 CW SOLUTIONS TO THE
COUPLED-MODE EQUATIONS 180 2.3 NONLINEAR-SCHRODINGER-EQUATION LIMIT 181
2.4 BRAGG GRATING SOLITONS AND GAP SOLITONS 182 3 EXPERIMENTAL
CONSIDERATIONS: GRATING FABRICATION 183 3.1 OPTICAL-FIBER BRAGG GRATINGS
183 3.2 SEMICONDUCTORS 186 XII CONTENTS 3.3 CHALCOGENIDE GLASSES 187 3.4
EXPERIMENTAL APPARATUS 187 4 SUMMARY OF EXPERIMENTAL RESULTS 189 4.1
CONTINUOUS-WAVE EXPERIMENTS 189 4.2 PULSE EXPERIMENTS 191 5 FURTHER
DEVELOPMENTS 195 5.1 OPTICAL PUSH BROOM 195 5.2 FREQUENCY CONVERSION AND
GENERATION 197 5.3 NONUNIFORM GRATINGS 198 5.4 NOVEL NONLINEAR
GRATING-BASED COMPRESSORS 198 ,5.5 POLARIZATION EFFECTS 199 5.5.1
OPTICAL AND GATE 199 5.5.2 POLARIZATION ROTATION AND POLARIZATION
INSTABILITY . . . 200 5.6 COPROPAGATING GEOMETRIES 202 5.7 GRATINGS WITH
QUADRATIC NONLINEARITIES 202 6 OUTLOOK 203 ACKNOWLEDGMENTS 204
REFERENCES 205 STABILITY OF SPATIAL OPTICAL SOLITONS YURI S. KIVSHAR AND
ANDREY A. SUKHORUKOV 211 1 INTRODUCTION 211 2 LINEAR EIGENVALUE PROBLEM
213 3 SOLITON INTERNAL MODES AND STABILITY 214 4 STABILITY CRITERION FOR
FUNDAMENTAL SOLITONS . 218 5 MARGINAL STABILITY POINT: ASYMPTOTIC
ANALYSIS 222 6 NONLINEAR GUIDED WAVES AND IMPURITY MODES 223 6.1 MODEL
AND GENERAL REMARKS 223 6.2 STABILITY OF SYMMETRIC AND ASYMMETRIC MODES
225 6.2.1 SYMMETRIC MODES 225 6.2.2 ASYMMETRIC MODES 226 6.3 EXAMPLE:
COMPETING POWER-LAW NONLINEARITIES 226 7 MULTICOMPONENT SOLITARY WAVES
228 7.1 GENERAL THEORY: N COUPLED NLS EQUATIONS 228 7.2 EXAMPLE: TWO
COUPLED NLS EQUATIONS 231 8 MULTIHUMP SOLITARY WAVES 234 9 OSCILLATORY
INSTABILITIES 237 10 SYMMETRY-BREAKING INSTABILITIES 239 11 CONCLUDING
REMARKS 242 ACKNOWLEDGMENTS 243 REFERENCES 243 CONTENTS XIII NONLINEAR
WAVE COLLAPSE LUC BERGE 247 1 INTRODUCTION 247 2 GENERAL RESULTS ON THE
COLLAPSE OF A SINGLE COMPONENT 250 3 INTERACTION REGIMES OF SEVERAL
COLLAPSING COMPONENTS 253 4 COLLAPSE WITH FOUR-WAVE MIXING AND WALK-OFF
258 5 INTERPLAY BETWEEN QUADRATIC AND CUBIC NONLINEARITIES 261 6
CONCLUSION 265 ACKNOWLEDGMENTS 265 REFERENCES 265 DISCRETE SOLITONS FALK
LEDERER, SERGEY DARMANYAN, AND ANDREY KOBYAKOV 269 1 INTRODUCTION 269 2
BASIC MATHEMATICAL MODELS 271 3 DISCRETE DIFFRACTION AND MODULATIONAL
INSTABILITY 273 3.1 LINEAR PLANE WAVES AND DISCRETE DIFFRACTION 273 3.2
NONLINEAR PLANE WAVES AND THEIR MODULATIONAL INSTABILITY . 275 3.2.1
CUBIC NONLINEARITY 275 3.2.2 QUADRATIC NONLINEARITY 276 4 SOLITONS IN
CUBIC NONLINEAR MEDIA 278 4.1 TYPES OF SOLITON SOLUTIONS 278 4.1.1 EVEN
(INTERSITE) BRIGHT SOLITONS 278 4.1.2 ODD (ON-SITE) BRIGHT SOLITONS 279
4.1.3 TOPOLOGICAL AND FLAT-TOP SOLITONS 280 4.2 STABILITY ANALYSIS 281
4.2.1 BRIGHT SOLITONS 282 4.2.2 TOPOLOGICAL AND FLAT-TOP SOLITONS 283 5
SOLITONS IN QUADRATIC NONLINEAR MEDIA 285 5.1 TYPES OF SOLITON SOLUTIONS
285 5.1.1 EVEN BRIGHT SOLITONS 285 5.1.2 ODD BRIGHT SOLITONS 286 5.1.3
TOPOLOGICAL AND FLAT-TOP SOLITONS 286 5.2 STABILITY ANALYSIS 287 5.2.1
BRIGHT SOLITONS 287 5.2.2 TOPOLOGICAL AND FLAT-TOP SOLITONS 288 6
CONCLUSIONS 290 ACKNOWLEDGMENTS 290 REFERENCES 290 XIV CONTENTS OPTICAL
VORTEX SOLITONS GROVER A. SWARTZLANDER, JR 293 1 INTRODUCTION 293 2
VORTEX WAVEFUNCTIONS 294 3 VORTEX WAVEVECTORS 295 4 R-VORTEX SOLUTIONS
297 5 HANKEL TRANSFORM INTO VORTEX MODES 298 6 POINT VORTEX 299 7
MULTIPLE VORTICES 300 8 NONLINEAR REFRACTION 303 9 OPTICAL VORTEX
SOLITONS 304 10 PINCHED OPTICAL VORTEX 306 11 CONSERVATION OF MOMENTUM
307 12 CLOSING THOUGHTS 308 REFERENCES 309 SOLITONS OF THE COMPLEX
GINZBURG*LANDAU EQUATION NAIL AKHMEDIEV AND ADRIAN ANKIEWICZ 311 1
INTRODUCTION 311 2 BALANCE EQUATIONS AND PERTURBATION THEORY 315 3 EXACT
SOLUTIONS 317 3.1 SOLUTIONS OF THE CUBIC CGLE 318 3.1.1 THE SOLUTION
WITH ARBITRARY AMPLITUDE 320 3.1.2 CHIRP-FREE SOLITON 320 3.2
DARK-SOLITON SOLUTION OF THE CUBIC EQUATION 321 3.3 SOLITONS OF THE
QUINTIC CGLE 322 3.3.1 RELATION BETWEEN COEFFICIENTS 322 3.3.2 SOLUTIONS
WITH FIXED AMPLITUDE 322 3.3.3 THE SOLUTION WITH ARBITRARY AMPLITUDE 323
3.3.4 FLAT-TOP SOLITONS 323 3.3.5 RATIONAL SOLUTION 324 3.3.6 CHIRP-FREE
SOLITON 324 3.4 REDUCTION TO A SET OF ORDINARY DIFFERENTIAL EQUATIONS
324 4 STABILITY ISSUES 326 4.1 STABLE SOLITONS 327 5 MULTIPLICITY OF
SOLUTIONS 330 5.1 COMPOSITE SOLITONS 330 5.2 MOVING SOLITONS 331 5.3
COEXISTENCE OF SOLITONS 332 5.4 COLLISIONS 333 6 SOLITON BOUND STATES
334 7 CONCLUSIONS 337 REFERENCES 337 CONTENTS XV EXISTENCE, STABILITY,
AND PROPERTIES OF CAVITY SOLITONS WILLIAM J. FIRTH AND GRAEME K.
HARKNESS 343 1 INTRODUCTION 343 2 HISTORY 344 3 MEAN-FIELD MODELS AND
CAVITY SOLITONS 346 4 CAVITY SOLITONS IN SEMICONDUCTOR MICRORESONATORS
351 5 STATIONARY SOLUTIONS AND STABILITY 352 6 APPLICATIONS 355 7
CONCLUSION 355 ACKNOWLEDGMENTS 356 REFERENCES 356 PARAMETRIC SOLITONS IN
PASSIVE STRUCTURES WITH FEEDBACK STEFANO TRILLO AND MARC HAELTERMAN 359
1 INTRODUCTION 359 2 GENERAL MODELS FOR QUADRATIC PASSIVE CAVITIES 360
2.1 MEAN-FIELD MODELS 361 2.2 ORDER-PARAMETER EQUATIONS 363 3 COMPETING
INSTABILITIES IN INTRACAVITY PARAMETRIC MIXING 366 4 OPTICAL PARAMETRIC
OSCILLATORS 370 4.1 LOCALIZED PHASE DEFECTS OR DOMAIN WALLS IN DOPOS 370
4.2 BELOW-THRESHOLD BRIGHT SIGNAL SOLITONS IN DOPOS 374 4.3 SOLITONS IN
NDOPOS 376 4.4 ROLE OF WALK-OFF 376 5 INTRACAVITY SECOND-HARMONIC
GENERATION 378 5.1 PATTERN FORMATION AND LOCALIZED STRUCTURES 378 5.2
VECTORIAL (TYPE II) EFFECTS 381 6 PARAMETRIC GAP SOLITONS IN
DISTRIBUTED-FEEDBACK STRUCTURES .... 383 7 SUMMARY AND FURTHER
DEVELOPMENTS 387 ACKNOWLEDGMENTS 389 REFERENCES 389 SPATIAL SOLITONS IN
RESONATORS CARL 0. WEISS, GINTAS SLEKYS, VICTOR B. TARANENKO, KESTUTIS
STALIUNAS, AND ROBERT KUSZELEWICZ 395 1 INTRODUCTION 395 2 SOLITONS IN A
LASER WITH A NONLINEAR ABSORBER 397 3 PARAMETRIC-MIXING SOLITONS 404 4
NONLINEAR SEMICONDUCTOR RESONATORS 408 ACKNOWLEDGMENTS 415 REFERENCES
415 XVI CONTENTS NONLINEAR MAGNETO-OPTIC SOLITONS ALLAN D. BOARDMAN AND
MING XIE 417 1 INTRODUCTION TO MAGNETO-OPTICAL MATERIALS 417 2 ENVELOPE
EQUATIONS FOR LONGITUDINAL AND TRANSVERSE CONFIGURATIONS 418 3
TRANSVERSE CASE: POTENTIAL ANALYSIS 421 4 TRANSVERSE CASE: CONTROL OF
SOLITONS BY AN ELECTRODE STRUCTURE . . 424 5 CONCLUSIONS 430 REFERENCES
432 COUPLED PROPAGATION OF LIGHT AND MATTER WAVES: SOLITONS AND
TRANSVERSE INSTABILITIES MARK SAFFMAN AND DMITRY V. SKRYABIN 433 1
INTRODUCTION 433 2 * GOVERNING EQUATIONS 435 3 MODULATIONAL INSTABILITY
440 4 SOLITONS AND VORTICES * 443 5 DISCUSSION 445 REFERENCES 446 INDEX
449
|
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| id | DE-604.BV013746560 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:51:17Z |
| institution | BVB |
| isbn | 3540416536 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009397336 |
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| physical | XX, 454 S. graph. Darst. |
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| publishDateSearch | 2001 |
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| publisher | Springer |
| record_format | marc |
| series | Springer series in optical sciences |
| series2 | Springer series in optical sciences Physics and astronomy online library |
| spelling | Spatial solitons with 7 tables Stefano Trillo ... (ed.) Berlin [u.a.] Springer 2001 XX, 454 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series in optical sciences 82 Physics and astronomy online library Nichtlineare Optik - Soliton Soliton (DE-588)4135213-0 gnd rswk-swf Nichtlineare Optik (DE-588)4042096-6 gnd rswk-swf Nichtlineare Optik (DE-588)4042096-6 s Soliton (DE-588)4135213-0 s DE-604 Trillo, Stefano Sonstige oth Springer series in optical sciences 82 (DE-604)BV000000237 82 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009397336&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Spatial solitons with 7 tables Springer series in optical sciences Nichtlineare Optik - Soliton Soliton (DE-588)4135213-0 gnd Nichtlineare Optik (DE-588)4042096-6 gnd |
| subject_GND | (DE-588)4135213-0 (DE-588)4042096-6 |
| title | Spatial solitons with 7 tables |
| title_auth | Spatial solitons with 7 tables |
| title_exact_search | Spatial solitons with 7 tables |
| title_full | Spatial solitons with 7 tables Stefano Trillo ... (ed.) |
| title_fullStr | Spatial solitons with 7 tables Stefano Trillo ... (ed.) |
| title_full_unstemmed | Spatial solitons with 7 tables Stefano Trillo ... (ed.) |
| title_short | Spatial solitons |
| title_sort | spatial solitons with 7 tables |
| title_sub | with 7 tables |
| topic | Nichtlineare Optik - Soliton Soliton (DE-588)4135213-0 gnd Nichtlineare Optik (DE-588)4042096-6 gnd |
| topic_facet | Nichtlineare Optik - Soliton Soliton Nichtlineare Optik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009397336&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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