Verfügbarkeit: Optical solitons: theoretical challenges and industrial perspectives

Optical solitons: theoretical challenges and industrial perspectives:

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Bibliographische Detailangaben
Format:	Tagungsbericht Buch
Sprache:	English
Veröffentlicht:	Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London Springer 1999 Les Ulis ; Cambridge MA EDP Sciences
Schriftenreihe:	Centre de Physique des Houches 12
Schlagworte:	Soliton Nichtlineare Optik Konferenzschrift > 1998 > Les Houches
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	Literaturangaben
Beschreibung:	XVII, 384 S. Ill., graph. Darst.
ISBN:	3540663142 2868834108

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adam_text	CONTENTS LECTURE 1 FUNDAMENTALS OF OPTICAL SOLITON THEORY IN FIBERS BY A. HASEGAWA 1. INTRODUCTION .................................................................................. 1 2. ELECTROMAGNETIC WAVES IN DIELECTRIC MATERIALS.................................... 1 2.1 POLARIZATION EFFECTS ................................................................. 1 2.2 PLANE ELECTROMAGNETIC WAVES IN DIELECTRIC MATERIALS..................... 3 2.3 KERR EFFECT AND KERR COEFFICIENT................................................. 5 2.4 DIELECTRIC WAVEGUIDES ............................................................. 6 3. ENVELOPE OF ELECTROMAGNETIC WAVE IN DIELECTRIC MATERIALS.................... 10 3.1 LIGHTWAVE ENVELOPE IN FIBERS * DERIVATION OF NONLINEAR SCHROEDINGER EQUATION .............................................................. 10 3.2 EVOLUTION OF THE WAVE PACKET DUE TO THE GROUP VELOCITY DISPERSION 12 3.3 EVOLUTION OF WAVE PACKET DUE TO THE NONLINEARITY ........................ 14 3.4 LAX THEOREM........................................................................... 15 3.5 THE SOLITON SOLUTION OF THE NONLINEAR SCHROEDINGER EQUATION .......... 15 4. ULTRAFAST COMMUNICATION BASED ON OPTICAL SOLITONS ............................. 16 5. CONCLUSION ................................................................................... 18 LECTURE 2 HAMILTONIAN THEORY OF BAECKLUND TRANSFORMATION BY V.G. MARIKHIN AND A.B. SHABAT 1. INTRODUCTION .................................................................................. 19 2. LATTICE EQUATIONS ........................................................................... 22 3. CANONICAL BAECKLUND TRANSFORMATIONS ................................................ 25 4. FIRST INTEGRALS ................................................................................ 27 X LECTURE 3 STABILITY OF SOLITONS BY E.A. KUZNETSOV 1. INTRODUCTION .................................................................................. 31 2. LYAPUNOV STABILITY ......................................................................... 33 2.1 NONLINEAR SCHROEDINGER EQUATION ............................................... 33 2.2 THE THREE-WAVE SYSTEM ............................................................ 36 2.3 SOLITON SOLUTIONS OF THE 3-WAVE SYSTEM ...................................... 39 2.4 NONLINEAR STABILITY .................................................................. 41 3. LINEAR STABILITY .............................................................................. 43 3.1 LINEAR STABILITY FOR 1D NLS SOLITONS.......................................... 43 3.2 SOLITONS FOR THE FF-SH INTERACTION ............................................ 46 LECTURE 4 CHAOTIC DYNAMICS OF OPTICAL SOLITONS BY F.KH. ABDULLAEV 1. INTRODUCTION .................................................................................. 51 2. VARIATIONAL APPROACH TO SOLITONS DYNAMICS IN RANDOM MEDIA ................ 52 2.1 OPTICAL SOLITONS IN MEDIA WITH FLUCTUATING QUADRATIC POTENTIAL ....... 53 2.2 SPATIAL SOLITON IN ARRAY WITH FLUCTUATING PARAMETERS ..................... 54 2.3 A RANDOM KEPLER PROBLEM ....................................................... 55 3. INVERSE SCATTERING TRANSFORM TECHNIQUE FOR SOLITONS IN RANDOM MEDIA .... 56 3.1 SINGLE SOLITON PROPAGATION IN RANDOM MEDIA............................... 56 3.2 INTERACTION OF OPTICAL SOLITONS IN RANDOM MEDIA........................... 59 4. CONCLUSION ................................................................................... 61 LECTURE 5 VARIATIONALISM AND EMPIRIO-CRITICISM. (EXACT AND VARIATIONAL APPROACHES TO FIBRE OPTICS EQUATIONS) BY A.V. MIKHAILOV 1. INTRODUCTION .................................................................................. 63 2. VARIATIONAL APPROACH ...................................................................... 64 3. WHAT IS WRONG WITH THE VARIATIONAL APPROACH .................................... 68 CONTENTS XI LECTURE 6 PROPAGATION OF OPTICAL PULSES IN NONLINEAR SYSTEMS WITH VARYING DISPERSION BY V.E. ZAKHAROV 1. INTRODUCTION .................................................................................. 73 2. BASIC MODEL .................................................................................. 74 3. EFFECTIVE HAMILTONIAN .................................................................... 77 4. MONOCHROMATIC WAVE AND ITS STABILITY............................................... 81 5. WEAK DISPERSION MANAGEMENT ......................................................... 82 6. STRENG DISPERSION MANAGEMENT (SDM) ............................................. 85 7. SOLITONS AND THEIR STABILITY .............................................................. 87 LECTURE 7 DISPERSION-MANAGED SOLITONS BY S.K. TURITSYN, N.J. DORAN, J.H.B. NIJHOF, V.K. MEZENTSEV, T. SCHAEFER AND W. FORYSIAK 1. INTRODUCTION .................................................................................. 91 2. BASIC EQUATIONS ............................................................................. 94 3. LINEAR SOLUTION AND QUALITATIVE DESCRIPTION OF DM SOLITONS .................. 96 4. DM PULSE EVOLUTION OVER ONE PERIOD................................................. 98 4.1 ROOT-MEAN-SQUARE MOMENTUM EQUATIONS ................................... 98 4.2 POWER ENHANCEMENT ................................................................ 105 4.3 HOW TO FIND THE DM SOLITON NUMERICALLY .................................... 106 5. A PATH-AVERAGE THEORY OF DM SOLITONS IN THE TIME DOMAIN................... 106 6. PATH-AVERAGED EQUATIONS IN THE SPECTRAL DOMAIN ................................. 110 7. CONCLUSIONS .................................................................................. 112 LECTURE 8 DISPERSION-MANAGED SOLITONS: APPLICATIONS TO TERABIT/S TRANSMISSION OVER TRANSOCEANIC DISTANCES BY T. GEORGES INTRODUCTION ....................................................................................... 117 MODELLING .......................................................................................... 119 XII SINGLE PULSE PROPAGATION................................................................. 119 PERTURBATION .................................................................................. 125 EXPERIMENTS....................................................................................... 135 SET-UP .......................................................................................... 135 SPECTRUM EVOLUTION ........................................................................ 136 PHASE DIAGRAM ............................................................................... 136 SYSTEM MARGIN .............................................................................. 136 COMPARISON TO A SOLITON TRANSMISSION SYSTEM WITH CONSTANT DISPERSION . 139 NARROW BAND 1.02 TBIT/S ( 51 * 20 GBIT/S) SOLITON DWDM TRANSMISSION OVER 1000 KM OF STANDARD FIBRE........................................................ 140 CONCLUSION ........................................................................................ 141 LECTURE 9 NONLINEAR PULSES IN ULTRA-FAST OPTICAL COMMUNICATIONS BY V. CAUTAERTS, Y. KODAMA, A. MARUTA AND H. SUGAHARA 1. INTRODUCTION .................................................................................. 147 2. THE DM SOLITONS............................................................................ 148 2.1 THE LAGRANGIAN METHOD........................................................... 149 2.2 HERMITE-GAUSSIAN ANSATZ ......................................................... 151 3. THE DM SOLITONS IN WDM .............................................................. 153 3.1 MECHANISM OF FREQUENCY SHIFT FOR DM SOLITON ............................ 153 3.2 OPTIMAL ALLOCATION OF AMPLIFIER ................................................. 156 3.3 STATISTICAL ANALYSIS OF COLLISION INDUCED TIMING JITTER .................... 158 4. NRZ PULSE PROPAGATION................................................................... 161 4.1 THE NLS-WHITHAM EQUATIONS ................................................... 163 4.2 CONTROL OF NRZ PULSE.............................................................. 165 LECTURE 10 SOLITON WAVELENGTH-DIVISION-MULTIPLEXING SYSTEM: FROM NUMERICAL DESIGN TO RECIRCULATING LOOP EXPERIMENTS BY J.-P. HAMAIDE, B. BIOTTEAU, F. PITEL AND E. DESURVIRE 1. INTRODUCTION .................................................................................. 171 2. SOLITON TRANSMISSION OVER DISPERSION-MANAGED SYSTEMS ...................... 173 CONTENTS XIII 3. RESULTS FROM THE ANALYTICAL/BASIC NUMERICAL TOOL ................................ 175 4. RESULTS FROM THE NUMERICAL TOOL ....................................................... 177 5. RESULTS FROM THE EXPERIMENTAL TOOL................................................... 178 6. CONCLUSION ................................................................................... 181 LECTURE 11 MODE-LOCKED FIBER RING LASERS AND FIBER RING MEMORIES BY H.A. HAUS 1. INTRODUCTION .................................................................................. 183 2. THE PASSIVELY MODE-LOCKED FIBER RING LASER AND THE MASTER EQUATION ..... 184 3. HARMONIC MODELOCKING AND THE MAKINGS OF AN ALL-OPTICAL MEMORY....... 190 4. THE FIRST ORDER SOLITON ..................................................................... 199 5. PERTURBATION THEORY OF SOLITONS......................................................... 200 6. THE STRETCHED PULSE FIBER RING LASER ................................................... 208 LECTURE 12 MODULATIONAL INSTABILITIES IN PASSIVE CAVITIES: THEORY AND EXPERIMENT BY M. HAELTERMAN AND S. COEN 1. INTRODUCTION .................................................................................. 215 2. BASIC PROPERTIES OF THE NONLINEAR FIBER RESONATOR ................................ 217 3. THE EFFECTS OF DISPERSION: THEORY .................................................... 222 3.1 CW-MI AND THE MI-INDUCED UP-SWITCHING PROCESS........................ 223 3.2 PERIOD-DOUBLING MI ................................................................ 225 4. EXPERIMENTAL RESULTS....................................................................... 226 4.1 PERIOD-DOUBLING MI ................................................................ 227 4.2 CW-MI AND THE MI-INDUCED UP-SWITCHING PROCESS........................ 229 5. CONCLUSION ................................................................................... 230 XIV LECTURE 13 RECENT DEVELOPMENTS IN THE THEORY OF OPTICAL GAP SOLITONS BY S. TRILLO, C. CONTI, A. DE ROSSI AND G. ASSANTO 1. INTRODUCTION .................................................................................. 233 2. COUPLED-MODE MODELS.................................................................... 234 3. STABILITY........................................................................................ 236 4. QUADRATIC GAP SOLITONS .................................................................... 242 5. CONCLUSIONS .................................................................................. 246 LECTURE 14 VECTOR MODULATIONAL INSTABILITIES AND SOLITON EXPERIMENTS BY G. MILLOT, S. PITOIS, E. SEVE, P. TCHOFO DINDA, P. GRELU, S. WABNITZ, M. HAELTERMAN AND S. TRILLO 1. INTRODUCTION .................................................................................. 249 2. OBSERVATION OF VECTOR MI FOR NORMAL DISPERSION................................. 250 2.1 HIGH-BIREFRINGENCE FIBER .......................................................... 250 2.2 LOW-BIREFRINGENCE FIBER ........................................................... 251 2.3 BIMODAL FIBER ......................................................................... 252 3. MI GAIN SPECTRA FROM LINEAR STABILITY ANALYSIS .................................... 252 3.1 HIGH-BIREFRINGENCE FIBER .......................................................... 253 3.2 LOW-BIREFRINGENCE FIBER ........................................................... 253 3.3 BIMODAL FIBER ......................................................................... 254 4. INDUCED VECTOR MI AND SOLITON GENERATION ......................................... 255 4.1 HIGH-BIREFRINGENCE FIBER .......................................................... 255 4.2 LOW-BIREFRINGENCE FIBER ........................................................... 258 4.3 BIMODAL FIBER ......................................................................... 260 5. CONCLUSIONS .................................................................................. 262 LECTURE 15 TRANSIENT RAMAN AMPLIFICATION BY J. LEON AND A.V. MIKHAILOV 1. INTRODUCTION .................................................................................. 265 CONTENTS XV 2. DERIVATION OF THE SRS SYSTEM .......................................................... 269 3. STEADY STATE REGIME ........................................................................ 273 4. TRANSIENT SRS: A COMPLETE SOLUTION ................................................. 274 5. RAMAN SOLITON GENERATION ............................................................... 276 6. STOKES PHASE FLIPS AND THE RAMAN SPIKE ............................................ 277 7. THE RAMAN SPIKE IN THE TIME DOMAIN................................................ 278 8. CONCLUSION ................................................................................... 280 LECTURE 16 SELF-STRUCTURATION OF THREE-WAVE DISSIPATIVE SOLITONS IN CW-PUMPED OPTICAL CAVITIES BY C. MONTES, A. PICOZZI AND M. HAELTERMAN 1. INTRODUCTION .................................................................................. 283 2. THREE-WAVE MODEL ......................................................................... 284 3. TWO-WAVE ADIABATIC APPROXIMATION .................................................. 286 4. SELF-PULSING IN A CAVITY ................................................................... 289 LECTURE 17 THE DESCRIPTION OF THE ULTRASHORT PULSE PROPAGATION IN NON-LINEAR MEDIA UNDER QUASI-RESONANCE CONDITION BY A.I. MAIMITSOV 1. INTRODUCTION .................................................................................. 293 2. MAXWELL-BLOCH, RMB, AND SVEPA EQUATIONS ................................... 295 3. SOLUTION OF THE BLOCH EQUATION ........................................................ 297 4. SCALAR WAVE EQUATIONS .................................................................... 299 4.1 NON-LINEAR WAVE EQUATION ........................................................ 299 4.2 UNIDIRECTIONAL NON-LINEAR WAVE (MKDV EQUATION) ....................... 302 4.3 NON-LINEAR WAVE IN SVEPA ...................................................... 303 5. VECTOR WAVES ................................................................................. 304 5.1 GENERALISED MAXWELL-BLOCH EQUATIONS ...................................... 305 5.2 SOLUTION OF THE GENERALISED BLOCH EQUATIONS ............................... 305 5.3 VECTOR NON-LINEAR WAVE EQUATION ............................................... 307 5.4 UNIDIRECTIONAL VECTOR NON-LINEAR WAVES...................................... 308 XVI 5.5 POLARISED QUASI-MONOCHROMATIC NON-LINEAR WAVE (VECTOR NLS EQUATION) ............................................................. 309 6. CONCLUSION ................................................................................... 310 LECTURE 18 BRIGHT SPATIAL SOLITON INTERACTIONS BY G.I. STEGEMAN AND M. SEGEV 1. INTRODUCTION .................................................................................. 313 2. COHERENT INTERACTIONS: BASIC THEORETICAL PROPERTIES............................. 316 2.1 KERR NONLINEARITIES .................................................................. 317 2.2 SATURATING NONLINEARITIES .......................................................... 321 3. COHERENT INTERACTIONS: EXPERIMENTS ................................................. 322 4. INCOHERENT SOLITON INTERACTIONS......................................................... 324 5. FULL 3D SOLITON INTERACTIONS ............................................................. 326 6. ANISOTROPIE SOLITON INTERACTIONS ....................................................... 329 7. SUMMARY ...................................................................................... 330 LECTURE 19 SPATIAL SOLITONS IN SATURATING NONLINEAR MATERIALS BY B. LUTHER-DAVIES, V. TIKHONENKO, J. CHRISTOU, W. KROLIKOWSKI, Y. KIVSHAR AND N. AKMEDIEV 1. INTRODUCTION .................................................................................. 335 2. DARK AND BRIGHT SPATIAL SOLITONS ....................................................... 338 3. SATURATING NONLINEARITIES ................................................................. 340 4. EXPERIMENTAL DEMONSTRATIONS .......................................................... 341 5. CONCLUSIONS .................................................................................. 346 LECTURE 20 DISCRETE SOLITONS IN NONLINEAR WAVEGUIDE ARRAYS BY F. LEDERER AND J.S. AITCHISON 1. INTRODUCTION .................................................................................. 349 2. BASIC PROPERTIES OFWAVEGUIDE ARRAYS ................................................ 352 CONTENTS XVII 2.1 EVOLUTION EQUATIONS ................................................................ 352 2.2 LINEAR PROPERTIES * DISCRETE DIFFRACTION ................................... 353 2.3 NONLINEAR PROPERTIES * MODULATIONAL INSTABILITY........................... 354 3. DISCRETE SOLITONS ........................................................................... 355 3.1 MODERATELY LOCALIZED BRIGHT SOLITONS * BASIC PROPERTIES ................ 355 3.2 MODERATELY LOCALIZED BRIGHT SOLITONS * SELF-TRAPPING AND SWITCHING 358 3.3 STRONGLY LOCALIZED DISCRETE SOLITONS * PROPERTIES AND STABILITY ....... 359 4. FURTHER STUDIES............................................................................... 360 5. EXPERIMENTS IN NONLINEAR WAVEGUIDE ARRAYS....................................... 361 6. CONCLUSIONS .................................................................................. 364 LECTURE 21 SOLITONS IN CAVITIES WITH QUADRATIC NONLINEARITIES BY W.E. TORRUELLAS, P.S. JIAN, S. TRILLO, M. HAELTERMAN, U. PESCHEL AND F. LEDERER INTRODUCTION ....................................................................................... 367 1. THE CASE OF QUADRATIC NONLINEARITIES ................................................. 368 2. WHY CAVITIES?................................................................................ 369 3. MULTIDIMENSIONAL SPATIAL SOLITONS IN OPTICAL CAVITIES ........................... 370 4. OPTICAL BULLETS IN NONLINEAR OPTICAL CAVITIES ....................................... 370 5. TEMPORAL SOLITONS IN SINGLY RESONANT OPTICAL PARAMETRIC OSCILLATORS....... 371 6. CONCLUSION ................................................................................... 379
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spelling	Optical solitons: theoretical challenges and industrial perspectives LesHouches Workshop, September 28 - October 2, 1998. Ed. V. E. Zakharov ; S. Wabnitz. [Centre de Physique LesHouches] Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London Springer 1999 Les Ulis ; Cambridge MA EDP Sciences XVII, 384 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Centre de Physique des Houches 12 Literaturangaben Soliton (DE-588)4135213-0 gnd rswk-swf Nichtlineare Optik (DE-588)4042096-6 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1998 Les Houches gnd-content Soliton (DE-588)4135213-0 s Nichtlineare Optik (DE-588)4042096-6 s DE-604 Zacharov, Vladimir E. 1939-2023 Sonstige (DE-588)121396797 oth Les Houches Workshop 1998 Les Houches Sonstige (DE-588)2177314-2 oth Centre de Physique des Houches 12 (DE-604)BV011876452 12 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008710786&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Optical solitons: theoretical challenges and industrial perspectives Centre de Physique des Houches Soliton (DE-588)4135213-0 gnd Nichtlineare Optik (DE-588)4042096-6 gnd
subject_GND	(DE-588)4135213-0 (DE-588)4042096-6 (DE-588)1071861417
title	Optical solitons: theoretical challenges and industrial perspectives
title_auth	Optical solitons: theoretical challenges and industrial perspectives
title_exact_search	Optical solitons: theoretical challenges and industrial perspectives
title_full	Optical solitons: theoretical challenges and industrial perspectives LesHouches Workshop, September 28 - October 2, 1998. Ed. V. E. Zakharov ; S. Wabnitz. [Centre de Physique LesHouches]
title_fullStr	Optical solitons: theoretical challenges and industrial perspectives LesHouches Workshop, September 28 - October 2, 1998. Ed. V. E. Zakharov ; S. Wabnitz. [Centre de Physique LesHouches]
title_full_unstemmed	Optical solitons: theoretical challenges and industrial perspectives LesHouches Workshop, September 28 - October 2, 1998. Ed. V. E. Zakharov ; S. Wabnitz. [Centre de Physique LesHouches]
title_short	Optical solitons: theoretical challenges and industrial perspectives
title_sort	optical solitons theoretical challenges and industrial perspectives
topic	Soliton (DE-588)4135213-0 gnd Nichtlineare Optik (DE-588)4042096-6 gnd
topic_facet	Soliton Nichtlineare Optik Konferenzschrift 1998 Les Houches
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008710786&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV011876452
work_keys_str_mv	AT zacharovvladimire opticalsolitonstheoreticalchallengesandindustrialperspectives AT leshouchesworkshopleshouches opticalsolitonstheoreticalchallengesandindustrialperspectives

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