Transverse patterns in nonlinear optical resonators:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2003
|
| Series: | Springer tracts in modern physics
183 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index. |
| Physical Description: | XIV, 226 S. graph. Darst. |
| ISBN: | 3540004343 |
Staff View
MARC
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| 245 | 1 | 0 | |a Transverse patterns in nonlinear optical resonators |c Kȩstutis Staliūnas, Victor J. Sánchez-Morcillo |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
1 INTRODUCTION
..............................................
1
1.1 HISTORICALSURVEY....................................... 2
1.2 PATTERNSINNONLINEAROPTICALRESONATORS.................. 4
1.2.1 LOCALIZEDSTRUCTURES:VORTICESANDSOLITONS .......... 6
1.2.2 EXTENDEDPATTERNS ............................... 8
1.3 OPTICALPATTERNSINOTHERCONFIGURATIONS.................. 11
1.3.1 MIRRORLESSCONFIGURATION .......................... 11
1.3.2 SINGLE-FEEDBACK-MIRRORCONFIGURATION............... 12
1.3.3 OPTICALFEEDBACKLOOPS........................... 12
1.4 THECONTENTSOFTHISBOOK............................... 15
REFERENCES ................................................. 19
2 ORDER PARAMETER EQUATIONS FOR LASERS
....................
33
2.1 MODELOFA LASER ....................................... 34
2.2 LINEAR STABILITY ANALYSIS . ............................... 36
2.3 DERIVATIONOFTHELASERORDERPARAMETEREQUATION.......... 41
2.3.1 ADIABATICELIMINATION ............................ 41
2.3.2 MULTIPLE-SCALEEXPANSION.......................... 46
REFERENCES ................................................. 48
3 ORDER PARAMETER EQUATIONS
FOR OTHER NONLINEAR RESONATORS
..........................
51
3.1 OPTICAL PARAMETRIC OSCILLATORS ........................... 51
3.2 THEREALSWIFT*HOHENBERGEQUATIONFORDOPOS ........... 52
3.2.1 LINEAR STABILITY ANALYSIS .......................... 52
3.2.2 SCALES........................................... 53
3.2.3 DERIVATIONOFTHEOPE ............................ 54
3.3 THECOMPLEXSWIFT*HOHENBERGEQUATIONFOROPOS......... 55
3.3.1 LINEAR STABILITY ANALYSIS .......................... 56
3.3.2 SCALES........................................... 57
3.3.3 DERIVATIONOFTHEOPE ............................ 57
3.4 THE ORDER PARAMETER EQUATION
FOR PHOTOREFRACTIVE OSCILLATORS . ........................... 59
3.4.1 DESCRIPTIONANDMODEL............................ 59
3.4.2 ADIABATICELIMINATIONANDOPERATORINVERSION ....... 60
XC
O
N
T
E
N
T
S
3.5 PHENOMENOLOGICAL DERIVATION
OFORDERPARAMETEREQUATIONS ........................... 61
REFERENCES ................................................. 63
4 ZERO DETUNING: LASER HYDRODYNAMICS
AND OPTICAL VORTICES
......................................
65
4.1 HYDRODYNAMICFORM.................................... 65
4.2 OPTICALVORTICES........................................ 67
4.2.1 STRONGDIFFRACTION ................................ 68
4.2.2 STRONGDIFFUSION.................................. 71
4.2.3 INTERMEDIATECASES ............................... 72
4.3 VORTEXINTERACTIONS ..................................... 74
REFERENCES ................................................. 79
5 FINITE DETUNING: VORTEX SHEETS
AND VORTEX LATTICES
.......................................
81
5.1 VORTICES*RIDING*ONTILTEDWAVES........................ 82
5.2 DOMAINSOFTILTEDWAVES................................ 84
5.3 SQUAREVORTEXLATTICES.................................. 87
REFERENCES ................................................. 90
6 RESONATORS WITH CURVED MIRRORS
..........................
91
6.1 WEAKLYCURVEDMIRRORS ................................. 92
6.2 MODEEXPANSION ....................................... 93
6.2.1 CIRCLINGVORTICES ................................. 94
6.2.2 LOCKINGOFTRANSVERSEMODES ...................... 95
6.3 DEGENERATERESONATORS.................................. 97
REFERENCES ................................................. 102
7 THE RESTLESS VORTEX
......................................
103
7.1 THEMODEL ............................................ 103
7.2 SINGLEVORTEX .......................................... 105
7.3 VORTEXLATTICES......................................... 108
7.3.1 *OPTICAL* OSCILLATION MODE ........................ 109
7.3.2 PARALLELTRANSLATIONOFA VORTEXLATTICE............... 110
7.4 EXPERIMENTALDEMONSTRATIONOFTHE*RESTLESS*V
ORTEX....... 111
7.4.1 MODEEXPANSION ................................. 111
7.4.2 PHASE-INSENSITIVEMODES........................... 113
7.4.3 PHASE-SENSITIVEMODES ............................ 114
REFERENCES ................................................. 115
8 DOMAINS AND SPATIAL SOLITONS
.............................
117
8.1 SUBCRITICALVERSUSSUPERCRITICALSYSTEMS................... 117
8.2 MECHANISMSALLOWINGSOLITONFORMATION................... 118
8.2.1 SUPERCRITICALHOPFBIFURCATION ..................... 119
CONTENTS XI
8.2.2 SUBCRITICALHOPFBIFURCATION ....................... 120
8.3 AMPLITUDEANDPHASEDOMAINS........................... 122
8.4 AMPLITUDEANDPHASESPATIALSOLITONS..................... 123
REFERENCES ................................................. 124
9 SUBCRITICAL SOLITONS I: SATURABLE ABSORBER
................
125
9.1 MODELANDORDERPARAMETEREQUATION .................... 125
9.2 AMPLITUDEDOMAINSANDSPATIALSOLITONS .................. 127
9.3 NUMERICALSIMULATIONS .................................. 129
9.3.1 SOLITONFORMATION ................................ 129
9.3.2 SOLITON MANIPULATION: POSITIONING, PROPAGATION,
TRAPPINGANDSWITCHING........................... 132
9.4 EXPERIMENTS........................................... 133
REFERENCES ................................................. 138
10 SUBCRITICAL SOLITONS II:
NONLINEAR RESONANCE
.....................................
139
10.1 ANALYSIS OF THE HOMOGENEOUS STATE.
NONLINEARRESONANCE.................................... 139
10.2 SPATIALSOLITONS ........................................ 141
10.2.1 ONE-DIMENSIONALCASE ............................ 141
10.2.2 TWO-DIMENSIONALCASE............................ 144
REFERENCES ................................................. 146
11 PHASE DOMAINS AND PHASE SOLITONS
.......................
147
11.1 PATTERNS IN SYSTEMS WITH A REAL-VALUED ORDER PARAMETER . . . 147
11.2 PHASEDOMAINS......................................... 148
11.3 DYNAMICS OF DOMAIN BOUNDARIES ......................... 150
11.3.1 VARIATIONALAPPROACH ............................. 150
11.3.2 TWO-DIMENSIONALDOMAINS ........................ 152
11.4 PHASESOLITONS ......................................... 155
11.5 NONMONOTONICALLYDECAYINGFRONTS ....................... 157
11.6 EXPERIMENTAL REALIZATION OF PHASE DOMAINS
ANDSOLITONS ........................................... 160
11.7 DOMAIN BOUNDARIES AND IMAGE PROCESSING ................. 163
REFERENCES ................................................. 166
12 TURING PATTERNS IN NONLINEAR OPTICS
......................
169
12.1 THETURINGMECHANISMINNONLINEAROPTICS................ 169
12.2 LASERWITHDIFFUSINGGAIN ............................... 171
12.2.1 GENERALCASE .................................... 172
12.2.2 LASERWITHSATURABLEABSORBER..................... 174
12.2.3 STABILIZATION OF SPATIAL SOLITONS BY GAIN DIFFUSION .... 176
12.3 OPTICAL PARAMETRIC OSCILLATOR
WITHDIFFRACTINGPUMP .................................. 180
XII CONTENTS
12.3.1 TURING INSTABILITY IN A DOPO ...................... 181
12.3.2 STOCHASTICPATTERNS............................... 184
12.3.3 SPATIAL SOLITONS INFLUENCED BY PUMP DIFFRACTION ...... 187
REFERENCES ................................................. 191
13 THREE-DIMENSIONAL PATTERNS
..............................
193
13.1 THESYNCHRONOUSLYPUMPEDDOPO....................... 193
13.1.1 ORDERPARAMETEREQUATION ........................ 194
13.2 PATTERNS OBTAINED FROM THE 3D SWIFT*HOHENBERG EQUATION . . 196
13.3 THENONDEGENERATEOPO................................ 200
13.4 CONCLUSIONS............................................ 201
13.4.1 TUNABILITY OF A SYSTEM WITH A BROAD GAIN BAND . ..... 201
13.4.2 ANALOGYBETWEEN2DAND3DCASES................. 202
REFERENCES ................................................. 202
14 PATTERNS AND NOISE
.......................................
205
14.1 NOISEINCONDENSATES ................................... 206
14.1.1 SPATIO-TEMPORALNOISESPECTRA..................... 207
14.1.2 NUMERICALRESULTS................................ 210
14.1.3 CONSEQUENCES.................................... 214
14.2 NOISYSTRIPES .......................................... 216
14.2.1 SPATIO-TEMPORALNOISESPECTRA..................... 217
14.2.2 STOCHASTICDRIFTS ................................. 221
14.2.3 CONSEQUENCES.................................... 223
REFERENCES ................................................. 224
INDEX
.........................................................
225
|
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| indexdate | 2024-07-09T19:10:56Z |
| institution | BVB |
| isbn | 3540004343 |
| language | English |
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| physical | XIV, 226 S. graph. Darst. |
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| series2 | Springer tracts in modern physics |
| spelling | Staliūnas, Ke̜stutis Verfasser aut Transverse patterns in nonlinear optical resonators Kȩstutis Staliūnas, Victor J. Sánchez-Morcillo Berlin [u.a.] Springer 2003 XIV, 226 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer tracts in modern physics 183 Includes bibliographical references and index. Física moderna larpcal Lasers Resonators Optical resonance Soliton (DE-588)4135213-0 gnd rswk-swf Optischer Resonator (DE-588)4172678-9 gnd rswk-swf Nichtlineare Optik (DE-588)4042096-6 gnd rswk-swf Musterbildung (DE-588)4137934-2 gnd rswk-swf Nichtlineare Optik (DE-588)4042096-6 s Optischer Resonator (DE-588)4172678-9 s Musterbildung (DE-588)4137934-2 s Soliton (DE-588)4135213-0 s DE-604 Sánchez Morcillo, Victor J. Verfasser aut Springer tracts in modern physics 183 (DE-604)BV000000153 183 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010185695&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Staliūnas, Ke̜stutis Sánchez Morcillo, Victor J. Transverse patterns in nonlinear optical resonators Springer tracts in modern physics Física moderna larpcal Lasers Resonators Optical resonance Soliton (DE-588)4135213-0 gnd Optischer Resonator (DE-588)4172678-9 gnd Nichtlineare Optik (DE-588)4042096-6 gnd Musterbildung (DE-588)4137934-2 gnd |
| subject_GND | (DE-588)4135213-0 (DE-588)4172678-9 (DE-588)4042096-6 (DE-588)4137934-2 |
| title | Transverse patterns in nonlinear optical resonators |
| title_auth | Transverse patterns in nonlinear optical resonators |
| title_exact_search | Transverse patterns in nonlinear optical resonators |
| title_full | Transverse patterns in nonlinear optical resonators Kȩstutis Staliūnas, Victor J. Sánchez-Morcillo |
| title_fullStr | Transverse patterns in nonlinear optical resonators Kȩstutis Staliūnas, Victor J. Sánchez-Morcillo |
| title_full_unstemmed | Transverse patterns in nonlinear optical resonators Kȩstutis Staliūnas, Victor J. Sánchez-Morcillo |
| title_short | Transverse patterns in nonlinear optical resonators |
| title_sort | transverse patterns in nonlinear optical resonators |
| topic | Física moderna larpcal Lasers Resonators Optical resonance Soliton (DE-588)4135213-0 gnd Optischer Resonator (DE-588)4172678-9 gnd Nichtlineare Optik (DE-588)4042096-6 gnd Musterbildung (DE-588)4137934-2 gnd |
| topic_facet | Física moderna Lasers Resonators Optical resonance Soliton Optischer Resonator Nichtlineare Optik Musterbildung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010185695&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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