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by Gaetano Assanto
Nematicons: Spatial Optical Solitons in Nematic Liquid Crystals
Cover
Series
Title Page
Copyright
Dedication
Preface
Acknowledgments
Contributors
Chapter 1: Nematicons
1.1 Introduction
1.2 Models
1.3 Numerical Simulations
1.4 Experimental Observations
1.5 Conclusions
References
Chapter 2: Features of Strongly Nonlocal Spatial Solitons
2.1 Introduction
2.2 Phenomenological Theory of Strongly Nonlocal Spatial Solitons
2.3 Nonlocal Spatial Solitons in Nematic Liquid Crystals
2.4 Conclusion
Appendix 2.A: Proof of the Equivalence of the Snyder–Mitchell Model (Eq. 2.16) and the Strongly Nonlocal Model (Eq. 2.11)
Appendix 2.B: Perturbative Solution for a Single Soliton of the NNLSE (Eq. 2.4) in NLC
References
Chapter 3: Theoretical Approaches To Nonlinear Wave Evolution In Higher Dimensions
3.1 Simple Example of Multiple Scales Analysis
3.2 Survey of Perturbation Methods for Solitary Waves
3.3 Linearized Perturbation Theory for Nonlinear Schrödinger Equation
3.4 Modulation Theory: Nonlinear Schrödinger Equation
3.5 Radiation Loss
3.6 Solitary Waves in Nematic Liquid Crystals: Nematicons
3.7 Radiation Loss for The Nematicon Equations
3.8 Choice of Trial Function
3.9 Conclusions
Appendix 3.A: Integrals
Appendix 3.B: Shelf Radius
References
Chapter 4: Soliton Families in Strongly Nonlocal Media
4.1 Introduction
4.2 Mathematical Models
4.3 Soliton Families in Strongly Nonlocal Nonlinear Media
4.4 Conclusions
References
Chapter 5: External Control of Nematicon Paths
5.1 Introduction
5.2 Basic Equations
5.3 Nematicon Control with External Light Beams
5.4 Voltage Control of Nematicon Walk-Off
5.5 Voltage-Defined Interfaces
5.6 Conclusions
References
Chapter 6: Dynamics of Optical Solitons in Bias-Free Nematic Liquid Crystals
6.1 Summary
6.2 Introduction
6.3 From One to Two Nematicons
6.4 Counter-Propagating Nematicons
6.5 Interaction of Nematicons with Curved Surfaces
6.6 Multimode Nematicon-Induced Waveguides
6.7 Dipole Azimuthons and Charge-Flipping
6.8 Conclusions
Acknowledgments
References
Chapter 7: Interaction of Nematicons and Nematicon Clusters
7.1 Introduction
7.2 Gravitation of Nematicons
7.3 In-Plane Interaction of Two-Color Nematicons
7.4 Multidimensional Clusters
7.5 Vortex Cluster Interactions
7.6 Conclusions
Appendix: Integrals
References
Chapter 8: Nematicons in Light Valves
8.1 Introduction
8.2 Reorientational Kerr Effect and Soliton Formation in Nematic Liquid Crystals
8.3 Liquid Crystal Light Valves
8.4 Spatial Solitons in Light Valves
8.5 Soliton Propagation in 3D Anisotropic Media: Model and Experiment
8.6 Soliton Gating and Switching by External Beams
8.7 Conclusions and Perspectives
References
Chapter 9: Propagation of Light Confined via Thermo-Optical Effect in Nematic Liquid Crystals
9.1 Introduction
9.2 First Observation in NLC
9.3 Characterization and Nonlocality Measurement
9.4 Thermal Versus Orientational Self-Waveguides
9.5 Applications
9.6 Conclusions
References
Chapter 10: Discrete Light Propagation in Arrays of Liquid Crystalline Waveguides
10.1 Introduction
10.2 Discrete Systems
10.3 Waveguide Arrays in Nematic Liquid Crystals
10.4 Discrete Diffraction and Discrete Solitons
10.5 Optical Multiband Vector Breathers
10.6 Nonlinear Angular Steering
10.7 Landau–Zener Tunneling
10.8 Bloch Oscillations
10.9 Conclusions
References
Chapter 11: Power-Dependent Nematicon Self-Routing
11.1 Introduction
11.2 Nematicons: Governing Equations
11.3 Single-Hump Nematicon Profiles
11.4 Actual Experiments: Role of Losses
11.5 Nematicon Self-Steering in Dye-Doped NLC
11.6 Boundary Effects
11.7 Nematicon Self-Steering Through Interaction with Linear Inhomogeneities
11.8 Conclusions
References
Chapter 12: Twisted and Chiral Nematicons
12.1 Introduction
12.2 Chiral and Twisted Nematics
12.3 Theoretical Model
12.4 Experimental Results
12.5 Discrete Diffraction
12.6 Conclusions
References
Chapter 13: Time Dependence of Spatial Solitons in Nematic Liquid Crystals
13.1 Introduction
13.2 Temporal Behavior of Different Nonlinearities and Governing Equations
13.3 Formation of Reorientational Solitons
13.4 Conclusions
References
Chapter 14: Spatiotemporal Dynamics and Light Bullets in Nematic Liquid Crystals
14.1 Introduction
14.2 Optical Propagation Under Multiple Nonlinear Contributions
14.3 Accessible Light Bullets
14.4 Temporal Modulation Instability in Nematicons
14.5 Soliton-Enhanced Frequency Conversion
14.6 Conclusions
References
Chapter 15: Vortices in Nematic Liquid Crystals
15.1 Introduction
15.2 Stabilization of Vortices in Nonlocal, Nonlinear Media
15.3 Vortex in a Bounded Cell
15.4 Stabilization of Vortices by Vortex–Beam Interaction
15.5 Azimuthally Dependent Vortices
15.6 Conclusions
References
Chapter 16: Dispersive Shock Waves in Reorientational and Other Optical Media
16.1 Introduction
16.2 Governing Equations and Modulational Instability
16.3 Existing Experimental and Numerical Results
16.4 Analytical Solutions for Defocusing Equations
16.5 Analytical Solutions for Focusing Equations
16.6 Conclusions
References
index
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