Nematicons: spatial optical solitons in nematic liquid crystals
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Hoboken, New Jersey
John Wiley
2013
|
| Schriftenreihe: | Wiley series in pure and applied optics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | Includes bibliographical references |
| Beschreibung: | XX, 431 S. Ill., graph. Darst. |
| ISBN: | 9780470907245 |
Internformat
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| 020 | |a 9780470907245 |9 978-0-470-90724-5 | ||
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| 245 | 1 | 0 | |a Nematicons |b spatial optical solitons in nematic liquid crystals |c ed. Gaetano Assanto |
| 264 | 1 | |a Hoboken, New Jersey |b John Wiley |c 2013 | |
| 300 | |a XX, 431 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Wiley series in pure and applied optics | |
| 500 | |a Includes bibliographical references | ||
| 650 | 4 | |a Solitons | |
| 650 | 4 | |a Nematic liquid crystals | |
| 650 | 0 | 7 | |a Soliton |0 (DE-588)4135213-0 |2 gnd |9 rswk-swf |
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| 689 | 0 | 2 | |a Soliton |0 (DE-588)4135213-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Assanto, Gaetano |e Sonstige |4 oth | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025497571&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025497571&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Klappentext |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-025497571 | ||
Datensatz im Suchindex
| _version_ | 1804149798849216512 |
|---|---|
| adam_text | Contents
Preface
xv
Acknowledgments
xvii
Contributors
xix
Chapter
1.
Nematicons
1
Gaetano Assanto,
Alessandro Alberucci,
and Armando Piccardi
1.1
Introduction
1
1.1.1
Nematic Liquid Crystals
1
1.1.2
Nonlinear Optics and
Solitons
3
1.1.3
Initial Results on Light Self-Focusing in Liquid
Crystals
3
Models
4
1.2.1
Scalar Perturbative Model
5
1.2.2 Anisotropie
Perturbative Model
9
Numerical Simulations
13
1.3.1
Nematicon Profile
13
1.3.2
Gaussian Input
14
Experimental Observations
17
1.4.1
Nematicon-Nematicon Interactions
22
1.4.2
Modulational Instability
26
Conclusions
31
References
33
1.2
1.3
1.4
1.5
Chapter
2.
Features of Strongly Nonlocal Spatial
Solitons 37
Qi Guo, Wei
Ни,
Dongmei Deng, Daquan
Lu,
and Shigen Ouyang
2.1
Introduction
37
2.2
Phenomenological Theory of Strongly Nonlocal Spatial
Solitons 38
2.2.1
The Nonlinearly Induced Refractive Index Change of
Materials
38
2.2.2
From the Nonlocal Nonlinear
Schrödinger
Equation
to the Snyder-Mitchell Model
39
2.2.3
An Accessible Soliton of the Snyder-Mitchell Model
42
2.2.4
Breather and Soliton Clusters of the Snyder-Mitchell
Model
45
2.2.5
Complex-Variable-Function Gaussian Breathers and
Solitons 46
viii CONTENTS
2.2.6
Self-Induced Fractional Fourier Transform
47
2.3
Nonlocal Spatial
Solitons in
Nematic Liquid Crystals
49
2.3.1
Voltage-Controllable Characteristic Length of NLC
50
2.3.2
Nematicons as Strongly Nonlocal Spatial
Solitons 52
2.3.3
Nematicon-Nematicon Interactions
54
2.4
Conclusion
61
Appendix 2.A: Proof of the Equivalence of the Snyder-Mitchell
Model (Eq.
2.16)
and the Strongly Nonlocal Model (Eq.
2.11) 61
Appendix 2.B: Perturbative Solution for a Single Soliton of the
NNLSE (Eq.
2.4)
in NLC
62
References
66
Chapter
3.
Theoretical Approaches to Nonlinear Wave Evolution in
Higher Dimensions
71
Antonmaria
A. Minzoni and Noel F. Smyth
3.1
Simple Example of Multiple Scales Analysis
71
3.2
Survey of Perturbation Methods for Solitary Waves
77
3.3
Linearized Perturbation Theory for Nonlinear
Schrödinger
Equation
81
3.4
Modulation Theory: Nonlinear
Schrödinger
Equation
83
3.5
Radiation Loss
88
3.6
Solitary Waves in Nematic Liquid Crystals: Nematicons
91
3.7
Radiation Loss for The Nematicon Equations
96
3.8
Choice of Trial Function
101
3.9
Conclusions
105
Appendix 3.A: Integrals
106
Appendix 3.B: Shelf Radius
107
References
108
Chapter
4.
Soliton Families in Strongly Nonlocal Media 111
Wei-Ping Zhong and Milivoj R.
Beliç
4.1
Introduction
111
4.2
Mathematical Models
112
4.2.1
General
112
4.2.2
Nonlocaliry Through Response Function
113
4.3
Soliton Families in Strongly Nonlocal Nonlinear Media
115
4.3.1
One-Dimensional Hermite-Gaussian Spatial
Solitons 115
4.3.2
Two-Dimensional Laguerre-Gaussian Soliton Families
116
4.3.3
Accessible
Solitons in
the General Model of Beam
Propagation in NLC
118
4.3.4
Two-Dimensional Self-Similar Hermite-Gaussian
Spatial
Solitons 125
4.3.5 Two-Dimensional Whittaker Solitons 126
CONTENTS ix
4.4
Conclusions
133
References
135
Chapter
5.
External Control of Nematicon Paths
139
Armando Piccardi,
Alessandro Alberucci,
and Gaetano Assanto
5.1
Introduction
139
5.2
Basic Equations
140
5.3
Nematicon Control with External Light Beams
142
5.3.1
Interaction with Circular Spots
143
5.3.2
Dielectric Interfaces
145
5.3.3
Comments
146
5.4
Voltage Control of Nematicon Walk-Off
147
5.4.1
Out-of-Plane Steering of Nematicons
147
5.4.2
In-Plane Steering of Nematicon
149
5.5
Voltage-Defined Interfaces
152
5.6
Conclusions
156
References
156
Chapter
6.
Dynamics of Optical
Solitons in
Bias-Free Nematic
Liquid Crystals
159
Yana V. Izdebskaya, Anton S. Desyatnikov, and Yuri S. Kivshar
6.1
Summary
159
6.2
Introduction
159
6.3
From One to Two Nematicons
160
6.4
Counter-Propagating Nematicons
162
6.5
Interaction of Nematicons with Curved Surfaces
165
6.6
Multimode Nematicon-Induced Waveguides
167
6.7
Dipole Azimuthons
and Charge-Ripping
170
6.8
Conclusions
172
References
173
Chapter
7.
Interaction of Nematicons and Nematicon Clusters
177
Catherine Garcia-Reimbert,
Antonmaria
A. Minzoni, and
Noel F. Smyth
7.1
Introduction
177
7.2
Gravitation of Nematicons
179
7.3
In-Plane Interaction of Two-Color Nematicons
184
7.4
Multidimensional Clusters
190
7.5
Vortex Cluster Interactions
199
7.6
Conclusions
205
Appendix: Integrals
206
References
206
x
CONTENTS
Chapter
8.
Nematicons in Light Valves
209
Stefania Residori,
Umberto Bortolozzo,
Armando Piccardi,
Alessandro Alberucci,
and Gaetano Assanto
8.1
Introduction
209
8.2
Reorientational Kerr Effect and Soliton Formation in
Nematic Liquid Crystals
210
8.2.1
Optically Induced Reorientational Nonlinearity
211
8.2.2
Spatial
Solitons
in Nematic Liquid Crystals
211
8.3
Liquid Crystal Light Valves
212
8.3.1
Cell Structure and Working Principle
213
8.3.2
Optical Addressing in Transverse Configurations
215
8.4
Spatial
Solitons in
Light Valves
216
8.4.1
Stable Nematicons: Self-Guided Propagation in the
Longitudinal Direction
216
8.4.2
Tuning the Soliton Walk-Off
218
8.5
Soliton Propagation in
3D Anisotropie
Media: Model and
Experiment
220
8.5.1
Optical Control of Nematicon Trajectories
224
8.6
Soliton Gating and Switching by External Beams
224
8.7
Conclusions and Perspectives
227
References
229
Chapter
9.
Propagation of Light Confined via Thermo-Optical
Effect in Nematic Liquid Crystals
233
Marc Warenghem, Jean-Francois
Blach,
and Jean-Francois Henninot
9.1
Introduction
233
9.2
First Observation in NLC
235
9.3
Characterization and Nonlocality Measurement
240
9.4
Thermal Versus Orientational Self-Waveguides
246
9.5
Applications
248
9.5.1
Bent Waveguide
248
9.5.2
Fluorescence Recovery
249
9.6
Conclusions
250
References
252
Chapter
10.
Discrete Light Propagation in Arrays of Liquid
Crystalline Waveguides
255
Katarzyna
A. Rutkowska, Gaetano Assanto, and
Mirosław
A. Karpierz
10.1
Introduction
255
10.2
Discrete Systems
256
10.3
Waveguide Arrays in Nematic Liquid Crystals
258
CONTENTS xi
10.4
Discrete Diffraction and Discrete
Solitons 263
10.5
Optical Multiband Vector Breathers
265
10.6
Nonlinear Angular Steering
267
10.7
Landau-Zener Tunneling
268
10.8
Bloch Oscillations
270
10.9
Conclusions
272
References
273
Chapter
11.
Power-Dependent Nematicon Self-Routing
279
Alessandro Alberucci,
Armando Piccardi, and Gaetano Assanto
11.1
Introduction
279
11.2
Nematicons: Governing Equations
280
11.2.1
Perturbative Regime
282
11.2.2
Highly Nonlinear Regime
284
11.2.3
Simplified
(1 +
1)D Model in a Planar Cell
285
11.3
Single-Hump Nematicon Profiles
287
11.3.1 (2 +
1)D Complete Model
288
11.3.2 (1
+ 1)D Simplified Model
289
11.4
Actual Experiments: Role of Losses
290
11.4.1
BPM
(1 +
1)D Simulations
291
11.4.2
Experiments
292
11.5
Nematicon Self-Steering in Dye-Doped NLC
293
11.6
Boundary Effects
298
11.7
Nematicon Self-Steering Through Interaction with Linear
Inhomogeneities
302
11.7.1
Interfaces:
Goos-Hänchen
Shift
303
11.7.2
Finite-Size Defects: Nematicon Self-Escape
304
11.8
Conclusions
305
References
306
Chapter
12.
Twisted and Chiral Nematicons
309
Urszula
A. Laudyn and
Mirosław
A. Karpierz
309
310
312
314
314
315
317
317
319
319
12.1
Introduction
12.2
Chiral
í
ind
Twisted Nematics
12.3
Theoretical Model
12.4
Experimental Results
12.4.1
Nematicons in a Single Layer
12.4.2
Asymmetric Configuration
12.4.3
Multilayer Propagation
12.4.4
Influence of an External Electric Field
12.4.5
Guiding Light by Light
12.4.6
Nematicon Interaction
xii CONTENTS
12.5
Discrete Diffraction
321
12.6
Conclusions
323
References
323
Chapter
13.
Time Dependence of Spatial
Solitons in
Nematic Liquid
Crystals
327
Jemen
Beeckman and Kristiaan Neyts
13.1
Introduction
327
13.2
Temporal Behavior of Different Nonlinearities and Governing
Equations
328
13.2.1
Reorientational
Nonlineari
ty
328
13.2.2
Thermal Nonlinearity
331
13.2.3
Other Nonlinearities
333
13.3
Formation of Reorientational
Solitons 333
13.3.1
Bias Voltage Switching Time
334
13.3.2
Soliton Formation Time
336
13.3.3
Experimental Observation of Soliton Formation
337
13.3.4
Influence of Flow Effects
341
13.4
Conclusions
344
References
344
Chapter
14.
Spatiotemporal
Dynamics and Light Bullets in
Nematic Liquid Crystals
347
Marco Peccianti
14.1
Introduction
347
14.1.1 (2 + 1 +
1)D Nonlinear Wave Propagation in Ken-
Media
348
14.2
Optical Propagation Under Multiple Nonlinear Contributions
349
14.2.1
Multiple Nonlinearities and Space-Time
Decoupling of the Nonlinear Dynamics
349
14.2.2
Suitable Excitation Conditions
350
14.3
Accessible Light Bullets
351
14.3.1
From Nematicons to
Spatiotemporal
Solitons 351
14.3.2
Experimental Conditions for Accessible Bullets
Observation
353
14.4
Temporal Modulation Instability in Nematicons
355
14.5
Soliton-Enhanced Frequency Conversion
355
14.6
Conclusions
357
References
358
Chapter
15.
Vortices in Nematic Liquid Crystals
361
Antonmana
A. Minzoni, Luke W. Sciberras, Noel F. Smyth,
and Annette L. Worthy
15.1
Introduction
361
CONTENTS xiii
15.2
Stabilization of Vortices in Nonlocal, Nonlinear Media
364
15.3
Vortex in a Bounded Cell
373
15.4
Stabilization of Vortices by Vortex-Beam Interaction
378
15.5
Azimuthally Dependent Vortices
382
15.6
Conclusions
387
References
389
Chapter
16.
Dispersive Shock Waves in Reorientational and
Other Optical Media
391
Tim R.
Marchant
16.1
Introduction
391
16.2
Governing Equations and Modulational Instability
392
16.3
Existing Experimental and Numerical Results
394
16.4
Analytical Solutions for Defocusing Equations
396
16.5
Analytical Solutions for Focusing Equations
398
16.5.1
The
1 + 1
Dimensional Semianalytical Soliton
400
16.5.2
Uniform Soliton Theory
402
16.5.3
Comparisons with Numerical Solutions
403
16.6
Conclusions
406
References
407
Index
411
A pioneer in the field presents the first book
on nematicons, spatial optical solitons in
nematic
li
Little more than a decade after they were first demonstrated, nematicons have become
an important area of research worldwide. This wide-ranging introduction is the first
comprehensive collection of scientific work on optical spatial solitons in nematic liquid
crystals, where they have been observed at powers of the order of milliwatts or lower,
and have shown remarkable and peculiar features as compared to solitons in other media.
Nematicons: Spatial Optical Solitons in Nematic Liquid Crystals features information
on the background physics and relevant mathematics as well as numerical modeling,
experimental approaches and results, and applications. It combines a review of the field
with a considerable amount of original material as well as background information on
liquid crystals.
This one-of-a-kind resource:
•
Explores nematicons nonlocal features, including their modeling,
and experimental results on their mutual interactions
•
Deals with models and numerics on light localization and spatial
solitons, with emphasis on nematicons and their guiding properties
•
Discusses experimental as well as theoretical work on nematicons
and their trajectories, which can be modified in various ways and
in several configurations
•
Illustrates the physics and properties of nonlinear
reorientation
and
thermo-optically localized waves
•
Underlines the role of electronic nonlinearities and their synergy with
reorientation
in nematic liquid crystals, pinpointing the possibility of
spatio-temporal solitons in these materials
Complete with a vast bibliography of all the existing work in spatial solitons in nematic
liquid crystals as well as actual photographs from experiments. Ncmaticons is a valuable
tool for scientists, students, and scholars working on light localization and solitons, as
well as on nonlinear optics in liquid
α
.
GAETANO ASSANTO, PhD, is Professor of Optoelectronics at the University ei
Rome, where he heads the Nonlinear Optics and OptoElectronics Lab. He is Fellow
of the Optical Society of America and a Senior Member of the IEEE Photonics Society.
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90724
|
| any_adam_object | 1 |
| building | Verbundindex |
| bvnumber | BV040670997 |
| classification_rvk | UH 5690 UQ 8700 |
| ctrlnum | (OCoLC)828135208 (DE-599)GBV699960959 |
| dewey-full | 530.12/4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12/4 |
| dewey-search | 530.12/4 |
| dewey-sort | 3530.12 14 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV040670997 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:28:46Z |
| institution | BVB |
| isbn | 9780470907245 |
| language | English |
| lccn | 2012010716 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025497571 |
| oclc_num | 828135208 |
| open_access_boolean | |
| owner | DE-11 DE-703 DE-19 DE-BY-UBM |
| owner_facet | DE-11 DE-703 DE-19 DE-BY-UBM |
| physical | XX, 431 S. Ill., graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | John Wiley |
| record_format | marc |
| series2 | Wiley series in pure and applied optics |
| spelling | Nematicons spatial optical solitons in nematic liquid crystals ed. Gaetano Assanto Hoboken, New Jersey John Wiley 2013 XX, 431 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wiley series in pure and applied optics Includes bibliographical references Solitons Nematic liquid crystals Soliton (DE-588)4135213-0 gnd rswk-swf Nematische Phase (DE-588)4171428-3 gnd rswk-swf Flüssigkristall (DE-588)4071279-5 gnd rswk-swf Flüssigkristall (DE-588)4071279-5 s Nematische Phase (DE-588)4171428-3 s Soliton (DE-588)4135213-0 s DE-604 Assanto, Gaetano Sonstige oth Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025497571&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025497571&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Nematicons spatial optical solitons in nematic liquid crystals Solitons Nematic liquid crystals Soliton (DE-588)4135213-0 gnd Nematische Phase (DE-588)4171428-3 gnd Flüssigkristall (DE-588)4071279-5 gnd |
| subject_GND | (DE-588)4135213-0 (DE-588)4171428-3 (DE-588)4071279-5 |
| title | Nematicons spatial optical solitons in nematic liquid crystals |
| title_auth | Nematicons spatial optical solitons in nematic liquid crystals |
| title_exact_search | Nematicons spatial optical solitons in nematic liquid crystals |
| title_full | Nematicons spatial optical solitons in nematic liquid crystals ed. Gaetano Assanto |
| title_fullStr | Nematicons spatial optical solitons in nematic liquid crystals ed. Gaetano Assanto |
| title_full_unstemmed | Nematicons spatial optical solitons in nematic liquid crystals ed. Gaetano Assanto |
| title_short | Nematicons |
| title_sort | nematicons spatial optical solitons in nematic liquid crystals |
| title_sub | spatial optical solitons in nematic liquid crystals |
| topic | Solitons Nematic liquid crystals Soliton (DE-588)4135213-0 gnd Nematische Phase (DE-588)4171428-3 gnd Flüssigkristall (DE-588)4071279-5 gnd |
| topic_facet | Solitons Nematic liquid crystals Soliton Nematische Phase Flüssigkristall |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025497571&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025497571&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT assantogaetano nematiconsspatialopticalsolitonsinnematicliquidcrystals |