Spatial hysteresis and optical patterns:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2002
|
| Series: | Springer series in synergetics
Physics and astronomy online library |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 308 S. graph. Darst. |
| ISBN: | 3540427937 |
Staff View
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Record in the Search Index
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| adam_text | NIKOLAY N. ROSANOV SPATIAL HYSTERESIS AND OPTICAL PATTERNS WITH 149
FIGURES SPRINGER CONTENTS 1. INTRODUCTION TO THE PHYSICS OF DISTRIBUTED
BISTABLE SYSTEMS 1 1.1 TYPES OF OPTICAL BISTABILITY, NONLINEARITY, AND
FEEDBACK 1 1.1.1 BISTABILITY, MULTISTABILITY, AND HYSTERESIS 1 1.1.2
ABSOLUTE AND CONVECTIVE BISTABILITY 3 1.1.3 CONDITIONS OF BISTABILITY 4
1.1.4 TYPES OF OPTICAL BISTABILITY 5 1.1.5 INCREASING ABSORPTION OPTICAL
BISTABILITY 6 1.1.6 ELECTRO-OPTICAL SCHEMES 7 1.1.7 NONLINEAR CAVITIES
(INTERFEROMETERS) 7 1.1.8 NONLINEAR REFLECTION 7 1.1.9 BISTABLE LASERS 8
1.2 TRANSVERSE AND LONGITUDINAL DISTRIBUTIVITY; COMPONENCY .... 8 1.3
WHY STUDY DISTRIBUTED BISTABLE SYSTEMS? 10 1.4 FIRST INVESTIGATIONS OF
DISTRIBUTED OPTICAL BISTABLE SYSTEMS 13 2. INCREASING ABSORPTION
BISTABILITY 17 2.1 MODEL AND INITIAL EQUATIONS 18 2.2 BISTABILITY OF
POINT SYSTEMS. 21 2.2.1 STATIONARY STATES 22 2.2.2 KINETICS 23 2.2.3
EFFECT OF NOISE 27 2.3 STEADY-STATE DISTRIBUTIONS IN A ONE-DIMENSIONAL
SYSTEM 30 2.3.1 MECHANICAL ANALOGY 30 2.3.2 STATIONARY INHOMOGENEOUS
DISTRIBUTIONS 33 2.4 STABILITY OF STEADY-STATE DISTRIBUTIONS 36 2.5
SWITCHING WAVES 38 2.5.1 SWITCHING WAVES AND THE MECHANICAL ANALOGY 38
2.5.2 STABLE AND UNSTABLE SWITCHING WAVES 40 2.5.3 NUMERICAL SIMULATIONS
43 2.6 SPATIAL SWITCHING 44 X CONTENTS 2.7 WIDE RADIATION BEAM 48 2.7.1
ASYMPTOTIC ANALYSIS 48 2.7.2 SPATIAL BISTABILITY 52 2.8 SPATIAL
HYSTERESIS 54 2.9 SYSTEMS WITH SHARP TRANSVERSE INHOMOGENEITY 56 2.10
LONGITUDINAL AND TRANSVERSE DISTRIBUTIVITY 60 2.10.1 LONGITUDINAL
DISTRIBUTIVITY 61 2.10.2 JOINT LONGITUDINAL AND TRANSVERSE
DISTRIBUTIVITY 62 2.11 OTHER FACTORS; BIBLIOGRAPHY 64 2.11.1
TWO-DIMENSIONAL TRANSVERSE DISTRIBUTIVITY 64 2.11.2 FLUCTUATIONS 65
2.11.3 EFFECT OF DELAY 66 2.11.4 ISOLATED LOOPS 66 2.11.5 COMPONENCY 66
2.11.6 EXPERIMENTS 67 3. HYBRID BISTABLE DEVICES 69 3.1 STATIONARY,
PERIODIC, AND CHAOTIC REGIMES 69 3.2 EFFECT OF FINITE FEEDBACK BANDWIDTH
77 4. DRIVEN NONLINEAR INTERFEROMETERS 83 4.1 MODELS OF NONLINEAR
INTERFEROMETERS 84 4.1.1 DRIVEN RING INTERFEROMETERS 84 4.1.2 MODEL OF
TRANSVERSE DISTRIBUTIVITY 88 4.1.3 MODEL OF A NONLINEAR SCREEN 91 4.1.4
TRANSVERSELY CONFINED AND POINT SCHEMES 92 4.1.5 MODEL OF SLOW
NONLINEARITY 93 4.2 STABILITY OF STATIONARY REGIMES 94 4.2.1
SELF-PULSATIONS 95 4.2.2 MODULATION INSTABILITY 97J 4.3 INSTABILITIES OF
TRANSVERSE FIELD STRUCTURE 101 4.3.1 MATRIX REPRESENTATION 101 4.3.2
CAVITIES WITHOUT AND WITH MAGNIFICATION 104 4.4 MODEL OF THRESHOLD
NONLINEARITY 108 4.4.1 GENERAL SOLUTION 108 4.4.2 SWITCHING WAVES 109
4.4.3 STABILITY OF SWITCHING WAVES ILL 4.4.4 SWITCHING WAVES: INFLUENCE
OF INHOMOGENEITIES 113 4.4.5 SINGLE LOCALIZED STRUCTURES 114 4.4.6
STABILITY OF DISSIPATIVE OPTICAL SOLITONS 115 4.4.7 DISSIPATIVE
SOLITONS: EFFECT OF INHOMOGENEITIES 118 4.4.8 CYLINDRICALLY SYMMETRIC
SOLITONS 121 4.4.9 COMBINED SWITCHING WAVES 121 4.4.10 BOUND DISSIPATIVE
OPTICAL SOLITONS 122 4.4.11 THE CASE OF MULTISTABILITY 123 CONTENTS XI
4.5 STRUCTURES FOR OTHER NONLINEARITIES 123 4.5.1 SWITCHING WAVES 124
4.5.2 METASTABILITY AND KINETICS OF LOCAL PERTURBATIONS .... 125 4.5.3
DISSIPATIVE OPTICAL SOLITONS 127 4.6 EFFECT OF INHOMOGENEITIES 135 4.6.1
SWITCHING WAVES 136 4.6.2 SPATIAL HYSTERESIS 137 4.6.3 OBLIQUE INCIDENCE
139 4.6.4 MECHANICS OF DISSIPATIVE SOLITONS 143 4.6.5 DISSIPATIVE
SOLITONS AND SPATIAL HYSTERESIS 147 4.7 SWITCHING WAVES AND SOLITONS IN
CONDITIONS OF INSTABILITY 148 4.7.1 PLANE-WAVE EXCITATION 148 4.7.2
EXCITATION WITH A RADIATION BEAM 152 4.7.3 EFFECT OF TRANSVERSE
INSTABILITY 155 4.8 EFFECT OF COMPONENCY 156 4.8.1 MODEL OF A
MAGNETO-OPTIC INTERFEROMETER 157 4.8.2 HOMOGENEOUS STATIONARY AND
NONSTATIONARY REGIMES . 158 4.8.3 MODULATION INSTABILITY 161 4.8.4
POLARIZED DISSIPATIVE OPTICAL SOLITONS 162 4.8.5 RELATED SCHEMES 163 4.9
BIBLIOGRAPHY; EXPERIMENTS 169 4.9.1 INSTABILITIES RELATED TO
LONGITUDINAL DISTRIBUTIVITY . . . 169 4.9.2 WIDE-APERTURE SEMICONDUCTOR
MICRORESONATORS 170 4.9.3 INSTABILITIES OF THE TRANSVERSE FIELD
STRUCTURE 170 4.9.4 SWITCHING WAVES AND SPATIAL HYSTERESIS 172 4.9.5
DISSIPATIVE OPTICAL SOLITONS 174 5. NONLINEAR RADIATION REFLECTION 177
5.1 REFLECTION OF PLANE WAVE FROM TRANSPARENT NONLINEAR MEDIA 177 5.1.1
NONLINEAR LAYER I 177 5.1.2 NONLINEAR HALF-SPACE . . . 181 5.2 A WEAKLY
ABSORBING NONLINEAR MEDIUM 189 5.3 NONLINEAR REFLECTION OF BEAMS 196
5.3.1 BOUNDARY CONDITIONS 196 5.3.2 PARAXIAL APPROACH 199 5.3.3
NONPARAXIAL APPROACH: BISTABILITY OF BEAM REFLECTION. 201 5.4 DISCUSSION
AND REFERENCES 203 6. BISTABLE LASER SCHEMES 207 6.1 MODEL AND GENERAL
RELATIONS 207 6.1.1 LASER MODEL 207 6.1.2 MAXWELL-BLOCH EQUATIONS 208
6.1.3 ENERGY BALANCE 210 XII CONTENTS 6.1.4 SYMMETRY 211 6.1.5
MONOCHROMATIC PLANE-WAVE SOLUTIONS 212 6.1.6 MODULATION INSTABILITY 213
6.2 TRANSVERSELY ONE-DIMENSIONAL STRUCTURES 213 6.2.1 FAST NONLINEARITY
: 213 6.2.2 EFFECT OF RELAXATION RATES 219 6.3 TRANSVERSELY
TWO-DIMENSIONAL STRUCTURES 225 6.3.1 STRIPES 225 6.3.2 CYLINDRICALLY
SYMMETRIC INTENSITY DISTRIBUTION 226 6.3.3 ASYMMETRIC ROTATING LASER
SOLITONS 227 6.3.4 NONPARAXIAL LASER SOLITONS 230 6.4 INTERACTION OF
LASER SOLITONS 231 6.4.1 CONDITIONS OF GALILEAN SYMMETRY 231 6.4.2
REGIMES OF WEAK OVERLAPPING 232 6.4.3 MULTISOLITON STRUCTURES 239 6.4.4
EFFECT OF RELAXATION 240 6.5 EFFECT OF SMOOTH AND SHARP INHOMOGENEITIES
242 6.5.1 SMOOTH INHOMOGENEITIES 242 6.5.2 SHARP INHOMOGENEITIES (MIRROR
EDGES) 243 6.6 LASER BULLETS - THREE-DIMENSIONAL LASER SOLITONS 246
6.6.1 BIFURCATION ANALYSIS 247 6.6.2 FORMATION OF LASER BULLETS 249
6.6.3 INTERACTION OF LASER BULLETS 251 6.6.4 NONPARAXIAL EFFECTS 252 7.
CONCLUSION: COMPARING DIFFERENT TYPES OF OPTICAL PATTERNS 255 A. PAR
AXIAL AND NONPARAXIAL RADIATION PROPAGATION 259 B. CONSTITUTIVE
EQUATIONS * FOR MEDIUM NONLINEAR POLARIZATION 269 C. TRANSVERSE
STRUCTURES AND DIGITAL OPTICAL COMPUTING 273 D. BISTABILITY OF THE
QUANTUM ANHARMONIC OSCILLATOR 279 E. TRANSVERSE EFFECTS FOR SQUEEZED
STATES OF LIGHT 287 REFERENCES 294 INDEX 307
|
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| indexdate | 2024-07-09T18:56:19Z |
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| isbn | 3540427937 |
| language | English |
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| physical | XII, 308 S. graph. Darst. |
| publishDate | 2002 |
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| spelling | Rosanov, Nikolaj N. 1940- Verfasser (DE-588)123246113 aut Spatial hysteresis and optical patterns Nikolay N. Rosanov Berlin [u.a.] Springer 2002 XII, 308 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series in synergetics Physics and astronomy online library Hysteresis Optical bistability Musterbildung (DE-588)4137934-2 gnd rswk-swf Optische Bistabilität (DE-588)4043675-5 gnd rswk-swf Hysterese (DE-588)4132813-9 gnd rswk-swf Optische Bistabilität (DE-588)4043675-5 s Musterbildung (DE-588)4137934-2 s Hysterese (DE-588)4132813-9 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009603285&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rosanov, Nikolaj N. 1940- Spatial hysteresis and optical patterns Hysteresis Optical bistability Musterbildung (DE-588)4137934-2 gnd Optische Bistabilität (DE-588)4043675-5 gnd Hysterese (DE-588)4132813-9 gnd |
| subject_GND | (DE-588)4137934-2 (DE-588)4043675-5 (DE-588)4132813-9 |
| title | Spatial hysteresis and optical patterns |
| title_auth | Spatial hysteresis and optical patterns |
| title_exact_search | Spatial hysteresis and optical patterns |
| title_full | Spatial hysteresis and optical patterns Nikolay N. Rosanov |
| title_fullStr | Spatial hysteresis and optical patterns Nikolay N. Rosanov |
| title_full_unstemmed | Spatial hysteresis and optical patterns Nikolay N. Rosanov |
| title_short | Spatial hysteresis and optical patterns |
| title_sort | spatial hysteresis and optical patterns |
| topic | Hysteresis Optical bistability Musterbildung (DE-588)4137934-2 gnd Optische Bistabilität (DE-588)4043675-5 gnd Hysterese (DE-588)4132813-9 gnd |
| topic_facet | Hysteresis Optical bistability Musterbildung Optische Bistabilität Hysterese |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009603285&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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