Nonlinear optical waves:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Dordrecht [u.a.]
Kluwer Acad.
1999
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Schriftenreihe: | Fundamental theories of physics
104 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XIII, 650 S. graph. Darst. |
ISBN: | 0792357523 |
Internformat
MARC
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264 | 1 | |a Dordrecht [u.a.] |b Kluwer Acad. |c 1999 | |
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Datensatz im Suchindex
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adam_text | NONLINEAR OPTICAL WAVES BY A. I. MAIMISTOV AND A. M. BASHAROV MOSCOW
STATE ENGINEERING PHYSICS INSTITUTE (MEPHE), MOSCOW, RUSSIA KLUWER
ACADEMIC PUBLISHERS DORDRECHT / BOSTON / LONDON TABLE OF CONTENTS
PREFACE XI CHAPTER 1. BASIC EQUATIONS 1 1.1. THE METHOD OF UNITARY
TRANSFORMATION 4 1.1.1. THE EFFECTIVE HAMILTONIANS 7 1.1.2. THE BLOCH
EQUATIONS 10 1.1.3. POLARISATION OF THE MEDIUM 12 1.2. THE OPTICAL
SUSCEPTIBILITIES 15 1.2.1. PROPERTY OF OPTICAL SUSCEPTIBILITIES 16
1.2.2. NON-RESONANT OPTICAL SUSCEPTIBILITIES 17 1.3. THE WAVE EQUATION
22 1.3.1. LINEAR PARABOLIC EQUATION 22 1.3.2. NON-LINEAR PARABOLIC
EQUATION 25 1.3.3. PARAMETRIC INTERACTIONS 26 1.3.4. THE MAXWELL-BLOCH
EQUATIONS 28 1.4. POLARISATION EFFECTS AND RESONANT LEVEL DEGENERACY 34
1.4.1. GENERALISED MAXWELL-BLOCH EQUATIONS 34 1.4.2. NON-LINEAR
PARABOLIC EQUATION 39 1.5. CONCLUSION .. . 40 REFERENCES 41 CHAPTER 2.
COHERENT TRANSIENT PHENOMENA 43 2.1. GENERAL CHARACTERISTIC OF COHERENT
NON-LINEAR PROCESSES 43 2.1.1. NON-STATIONARY AND COHERENT TRANSIENTS 45
2.1.2. COHERENT RADIATION OF RESONANT ATOMS IN THE SPATIALLY SEPARATED
LIGHT 47 BEAMS 2.1.3. SUPERFLUORESCENCE 49 2.2 THE GIVEN FIELD
APPROXIMATION 51 2.3. OPTICAL NUTATION X 54 2.4. FREE INDUCTION DECAY 56
2.5. PHOTON ECHOES IN TWO-LEVEL SYSTEMS 58 2.5.1. TWO-PULSE PHOTON
ECHO 5 9 2.5.2 STIMULATED PHOTON ECHO 65 2.5.3. PHOTON ECHO ON THE BASE
OF OPTICAL NUTATION 71 2.5.4. PHOTON ECHOES UNDER TWO-PHOTON RESONANCE
74 2.5.5. PHOTON ECHOES PRODUCED BY STANDING-WAVE PULSE 75 2.6. PHOTON
ECHOES IN THREE-LEVEL SYSTEMS 79 VI CONTENTS 2.6.1. BASIC EQUATIONS FOR
THREE-LEVEL SYSTEMS IN THE GIVEN FIELD 80 APPROXIMATION 2.6.2. RAMAN
SCATTERING BY TWO-PULSE EXCITATION OF THREE-LEVEL SYSTEMS 85 2.6.3.
TRI-LEVEL ECHOES 86 2.7. POLARIZATION PROPERTIES OF COHERENT TRANSIENTS
8 8 2.7.1. POLARIZATION FEATURES OF OPTICAL NUTATION BY PHASE SWITCHING
METHOD 89 2.7.2. POLARISATION OF PHOTON ECHOES IN THE THREE-LEVEL
SYSTEMS AND 95 INVESTIGATION OF ATOMIC RELAXATION 2.8. CONCLUSION 103
REFERENCES 103 CHAPTER 3. INVERSE SCATTERING TRANSFORM METHOD. 107 3.1.
BASIC PRINCIPLE OF THE INVERSE SCATTERING TRANSFORM 108 3.2. THE
ZAKHAROV-SHABAT SPECTRAL PROBLEM 110 3.3. SOLUTION OF THE
GELFAND-LEVITAN-MARCHENKO EQUATIONS FOR REFLECTIONLESS 116 POTENTIALS
3.4. SOME EXAMPLES OF THE SPECTRAL PROBLEM SOLUTION 121 3.5. EVOLUTION
OF SCATTERING DATA 128 3.6. CONCLUSION 131 REFERENCES 132 CHAPTER 4.
SELF-INDUCED TRANSPARENCY 133 4.1 THEORY OF SIT PHENOMENA BY
MCCALL-HAHN. 134 4.1.1. STATIONARY SOLUTION OF SIT EQUATIONS 137 4.1.2.
STEADY-STATE SOLUTIONS OF THE MAXWELL-BLOCH EQUATIONS 145 4.1.3. INVERSE
SCATTERING TRANSFORM METHOD FOR THE THEORY OF SIT 153 4.1.4. DERIVATION
OF BACKHAND TRANSFORMATIONS 160; 4.1.5. BACKLUND TRANSFORMATION IN SIT
THEORIES 164 4.1.6. LINEAR POLARISED ULTRASHORT PULSE PROPAGATION 171
4.2. SIT -THEORY IN FRAME OF INVERSE SCATTERING METHOD. POLARISED
SOLITONS. 177 4.2.1. SIMULTONS 177 4.2.2. THE POLARISED SOLITONS 181
4.2.3. ZERO-CURVATURE REPRESENTATION OF THE GSIT EQUATIONS 187 4.2.4.
SOLITON SOLUTIONS, INTEGRALS OF MOTION AND BACKLUND TRANSFORMATION 192
4.2.5. INTERACTION OF POLARISED SOLITONS 199 4.2.6. POLARISED SIMULTONS
. 209 4.3. SIT FOR SURFACE POLARITONS. 217 4.3.1. SURFACE POLARITON. 217
4.3.2. POLARITONS IN THE THREE-LAYER SYSTEM 221 4.4 SIT UNDER TWO-PHOTON
RESONANCE. 227 4.4.1. BASIC EQUATIONS OF TWO-PHOTON SELF-INDUCED
TRANSPARENCY THEORY 227 4.4.2. STEADY-STATE SOLITARY WAVE. TWO-PHOTON
ABSORPTION , 232 4.4.3. ZERO-CURVATURE REPRESENTATION OF THE TPSIT
EQUATIONS 237 CONTENTS VII 4.4.4. A SINGLE-SOLITON SOLUTION OF THE TPSIT
EQUATIONS 240 4.5. RELATION BETWEEN SIT-THEORY AND FIELD-THEORETICAL
MODELS. 243 4.5.1. SIT UNDER ONE-PHOTON RESONANCE CONDITION 244 4.5.2.
SIT UNDER TWO-PHOTON RESONANCE CONDITION 245 4.6. CONCLUSION 247
REFERENCES 249 CHAPTER 5. COHERENT PULSE PROPAGATION 255 5.1. SOLITARY
WAVES IN A KERR-TYPE NON-LINEAR MEDIUMS 256 5.1.1. THE CASE OF SCALAR
SOLITONS 256 5.1.2. THE CASE OF A VECTOR SOLITONS 260 5.1.3. VECTOR
SOLITON SOLUTIONS 262 5.2. SELF-INDUCED TRANSPARENCY IN MEDIA WITH
SPATIAL DISPERSION 264 5.3. PROPAGATION OF ULTRASHORT PULSES IN A
NON-LINEAR MEDIUM 271 5.3.1. SIT WITHOUT THE SLOWLY VARYING ENVELOPES
APPROXIMATION 272 5.3.2. ULTRA-SHORT PULSE OF POLARISED RADIATION IN
RESONANT MEDIUM 276 5.3.3. ULTRA-SHORT PULSE PROPAGATION UNDER
QUASI-RESONANCE CONDITION. 286 5.3.4. ULTRA-SHORT PULSE PROPAGATION IN
NON-RESONANCE MEDIUM 293 5.3.5. OPTICAL SHOCKWAVES 297 5.4. CONCLUSION
299 REFERENCES 299 CHAPTER 6. OPTICAL SOLITONS IN FIBRES 303 6.1.
PICOSECOND SOLITONS IN ONE-MODE OPTICAL FIBRES. 305 6.1.1. NONLINEAR
SCHRODINGER EQUATION 309 6.1.2. STEADY-STATE SOLUTIONS OF THE NONLINEAR
SCHRODINGER EQUATION 311 6.1.3. SIMILARITY SOLUTIONS OF THE NONLINEAR
SCHRODINGER EQUATION 315 6.1.4. SOLITONS OF THE NONLINEAR SCHRODINGER
EQUATION 317 6.1.5. NON LINEAR FILTRATION OF AN OPTICAL PULSES 324
6.1.6. CUBIC-QUINTIC NONLINEAR SCHRODINGER EQUATION 331 6.2. FEMTOSECOND
OPTICAL SOLITONS. 335 6.2.1. EXTENDED NONLINEAR SCHRODINGER EQUATION.
336 6.2.2. STEADY-STATE SOLUTIONS OF DERIVATIVE NONLINEAR SCHRODINGER
EQUATION 342 6.2.3. SOLITONS OF THE DERIVATIVE NONLINEAR SCHRODINGER
EQUATION 346 6.2.4. ZERO OF SECOND-ORDER DISPERSION 354 6.2.5. SOLITONS
OF THE HIGHER-ORDER NLS EQUATION 357 6.3. VECTOR SOLITONS 364 6.3.1.
POLARISED WAVES IN KERR MEDIUM. 364 6.3.2. MULTI-COMPONENT NONLINEAR
WAVES 370 6.3.3. STATIONARY VECTOR WAVES 383 6.3.4. SOLITONS OF VECTOR
NONLINEAR SCHRODINGER EQUATION 388 6.4. VARIATIONAL APPROACH TO SOLITON
PHENOMENA AND PERTURBATION METHOD 394 VIII CONTENTS 6.4.1. FORMATION OF
SCALAR NLS-SOLITON 394 6.4.2. SCALAR PERTURBED NONLINEAR SCHRODINGER
EQUATION 400 6.4.3. VECTOR PERTURBED NONLINEAR SCHRODINGER EQUATION 405
6.4.4. COLLAPSE OF OPTICAL SOLITONS 407 6.4.5. PROPAGATION OPTICAL PULSE
IN NON-LINEAR BIREFRINGENT FIBRE 416 6.5. CONCLUSION 424 REFERENCES 425
CHAPTER 7. PARAMETRIC INTERACTION OF OPTICAL WAVES 436 7.1. THREE-WAVE
PARAMETRIC INTERACTION. 438 7.1.1. THE UNIFICATION OF EVOLUTION
EQUATIONS 438 7.1.2. PARAMETRIC INTERACTION UNDER APPROXIMATION OF
UNDEPLETED PUMP 440 7.1.3. STEADY-STATE PARAMETRIC PROCESS 442 7.1.4.
SECOND HARMONIC GENERATION 444 7.1.5. RAMAN SCATTERING PROCESS 457 7.2.
THREE-WAVE INTERACTION AND SOLITON FORMATION 461 7.2.1. ZERO-CURVATURE
REPRESENTATION OF THE 3-WAVE INTERACTION EQUATIONS 461 7.2.2. INVERSE
PROBLEM BY ZAKHAROV-MANAKOV-KAUP 464 7.2.3. SOLITONS OF 3-WAVE
INTERACTION 468 7.2.4. NON-COLLINEAR SECOND HARMONIC GENERATION 470 7.3.
FOUR-WAVE PARAMETRIC INTERACTION. 473 7.3.1. THE UNIFICATION OF
EVOLUTION EQUATIONS 474 7.3.2. STEADY-STATE PARAMETRIC PROCESS 475
7.3.3. THIRD HARMONIC GENERATION 481 7.4. CONCLUSION - 486 REFERENCES
487 I CHAPTER 8. NON-LINEAR WAVEGUIDE STRUCTURES 49} 8.1 NON-LINEAR
SURFACE WAVES : ; 496 8.1.1. NON-LINEAR SURFACE WAVES OF TE-TYPE 497
8.1.2. NON-LINEAR SURFACE WAVES TM-TYPE 502 8.1.3. OTHER NON-LINEAR
SURFACE WAVES 505 8.2. LINEAR WAVEGUIDE IN A NON-LINEAR ENVIRONMENT 506
8.2.1. NON-LINEAR SURFACE WAVES OF TE-TYPE (DISPERSION RELATIONS) 507
8.2.2. NON-LINEAR GUIDED WAVES OF TE-TYPE (DISPERSION RELATIONS) 511
8.2.3. NON-LINEAR SURFACE WAVES OF TM-TYPE (DISPERSION RELATIONS) 512
8.2.4. NON-LINEAR GUIDED WAVES OF TM-TYPE (DISPERSION RELATIONS) 516
8.2.5. ANALYSIS OF DISPERSION RELATIONS 516 8.3. NON-LINEAR WAVEGUIDES
IN A LINEAR ENVIRONMENT 522 8.3.1. NON-LINEAR WAVES TE-TYPE 523 8.3.2.
NON-LINEAR WAVES TM-TYPE 530 8.4. WAVES IN NON-LINEAR DIRECTIONAL
COUPLERS 534 8.5. WAVES IN NON-LINEAR DISTRIBUTED FEEDBACK STRUCTURES
537 CONTENTS IX 8.5.1. NON-LINEAR OPTICAL FILTER 538 8.5.2. STEADY-STATE
SOLUTION OF THE EQUATIONS OF THE TWO-DIMENSIONAL MODIFIED MASSIVE
THIRRING MODEL 542 8.5.3. NON-RELATIVISTIC LIMIT OF THE MODIFIED MASSIVE
THIRRING MODEL 545 8.6. CONCLUSION 548 REFERENCES 549 CHAPTER 9. THIN
FILM OF RESONANT ATOMS: A SIMPLE MODEL OF NON-LINEAR OPTICS 55 7 9.1.
THIN FILM AT THE INTERFACE OF TWO DIELECTRIC MEDIA 558 9.2. OPTICAL
BISTABILITY AND SELF-PULSATION IN THIN FILM UNDER THE CONDITION OF THE
ONE-PHOTON RESONANCE 562 9.2.1. THE MAPPING EQUATION 564 9.2.2. OPTICAL
BISTABILITY 565 9.2.3. SELF-PULSATION 567 9.2.4. OPTICAL BISTABILITY IN
PHASE-SENSITIVE THERMOSTAT 569 9.3. THE FEATURE OF TWO-PHOTON RESONANCE
575 9.4. EXACTLY INTEGRABLE MODEL OF DOUBLE RESONANCE 582 9.5.
CONCLUSION 590 REFERENCES. 591 APPENDIX 1. THE DENSITY MATRIX EQUATION
OF A SYSTEM IN BROADBAND THERMOSTAT 593 APPENDIX 2. THE DENSITY MATRIX
EQUATION FOR A GAS MEDIUM 621 APPENDIX 3. ADIABATIC FOLLOWING
APPROXIMATION . 625 APPENDIX 4. RELATION BETWEEN EXACTLY INTEGRABLE
MODELS IN RESONANCE OPTICS 631 INDEX. 643
|
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author | Maimistov, A. I. Basharov, A. M. |
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id | DE-604.BV013040693 |
illustrated | Illustrated |
indexdate | 2024-07-09T18:38:05Z |
institution | BVB |
isbn | 0792357523 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008883776 |
oclc_num | 41266073 |
open_access_boolean | |
owner | DE-703 DE-11 |
owner_facet | DE-703 DE-11 |
physical | XIII, 650 S. graph. Darst. |
publishDate | 1999 |
publishDateSearch | 1999 |
publishDateSort | 1999 |
publisher | Kluwer Acad. |
record_format | marc |
series | Fundamental theories of physics |
series2 | Fundamental theories of physics |
spelling | Maimistov, A. I. Verfasser aut Nonlinear optical waves by A. I. Maimistov and A. M. Basharov Dordrecht [u.a.] Kluwer Acad. 1999 XIII, 650 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Fundamental theories of physics 104 Optique non linéaire Nonlinear optics Nichtlineare Optik (DE-588)4042096-6 gnd rswk-swf Elektromagnetische Welle (DE-588)4014301-6 gnd rswk-swf Nichtlineare Optik (DE-588)4042096-6 s Elektromagnetische Welle (DE-588)4014301-6 s DE-604 Basharov, A. M. Verfasser aut Fundamental theories of physics 104 (DE-604)BV000012461 104 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008883776&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Maimistov, A. I. Basharov, A. M. Nonlinear optical waves Fundamental theories of physics Optique non linéaire Nonlinear optics Nichtlineare Optik (DE-588)4042096-6 gnd Elektromagnetische Welle (DE-588)4014301-6 gnd |
subject_GND | (DE-588)4042096-6 (DE-588)4014301-6 |
title | Nonlinear optical waves |
title_auth | Nonlinear optical waves |
title_exact_search | Nonlinear optical waves |
title_full | Nonlinear optical waves by A. I. Maimistov and A. M. Basharov |
title_fullStr | Nonlinear optical waves by A. I. Maimistov and A. M. Basharov |
title_full_unstemmed | Nonlinear optical waves by A. I. Maimistov and A. M. Basharov |
title_short | Nonlinear optical waves |
title_sort | nonlinear optical waves |
topic | Optique non linéaire Nonlinear optics Nichtlineare Optik (DE-588)4042096-6 gnd Elektromagnetische Welle (DE-588)4014301-6 gnd |
topic_facet | Optique non linéaire Nonlinear optics Nichtlineare Optik Elektromagnetische Welle |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008883776&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000012461 |
work_keys_str_mv | AT maimistovai nonlinearopticalwaves AT basharovam nonlinearopticalwaves |