Nematicons : spatial optical solitons in nematic liquid crystals /
"Since the field of nematonics is relatively new, there is a need for a comprehensive introduction to nematonics theory and application. Nematonics Spatial Optical Solitons in Nematic Liquid Crystals breaks barriers of the field by being the first book of its kind to introduce the fundamentals,...
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| Format: | Book |
| Language: | English |
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Hoboken, N.J. :
John Wiley & Sons Inc.,
[2012]
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Table of Contents:
- Nematicons; Contents; Preface; Acknowledgments; Contributors; Chapter 1. Nematicons; 1.1 Introduction; 1.1.1 Nematic Liquid Crystals; 1.1.2 Nonlinear Optics and Solitons; 1.1.3 Initial Results on Light Self-Focusing in Liquid Crystals; 1.2 Models; 1.2.1 Scalar Perturbative Model; 1.2.2 Anisotropic Perturbative Model; 1.3 Numerical Simulations; 1.3.1 Nematicon Profile; 1.3.2 Gaussian Input; 1.4 Experimental Observations; 1.4.1 Nematicon-Nematicon Interactions; 1.4.2 Modulational Instability; 1.5 Conclusions; References; Chapter 2. Features of Strongly Nonlocal Spatial Solitons
- 2.1 Introduction2.2 Phenomenological Theory of Strongly Nonlocal Spatial Solitons; 2.2.1 The Nonlinearly Induced Refractive Index Change of Materials; 2.2.2 From the Nonlocal Nonlinear Schrödinger Equation to the Snyder-Mitchell Model; 2.2.3 An Accessible Soliton of the Snyder-Mitchell Model; 2.2.4 Breather and Soliton Clusters of the Snyder-Mitchell Model; 2.2.5 Complex-Variable-Function Gaussian Breathers and Solitons; 2.2.6 Self-Induced Fractional Fourier Transform; 2.3 Nonlocal Spatial Solitons in Nematic Liquid Crystals; 2.3.1 Voltage-Controllable Characteristic Length of NLC
- 2.3.2 Nematicons as Strongly Nonlocal Spatial Solitons2.3.3 Nematicon-Nematicon Interactions; 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 Equation3.5 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; 4.2.1 General; 4.2.2 Nonlocality Through Response Function; 4.3 Soliton Families in Strongly Nonlocal Nonlinear Media; 4.3.1 One-Dimensional Hermite-Gaussian Spatial Solitons
- 4.3.2 Two-Dimensional Laguerre-Gaussian Soliton Families4.3.3 Accessible Solitons in the General Model of Beam Propagation in NLC; 4.3.4 Two-Dimensional Self-Similar Hermite-Gaussian Spatial Solitons; 4.3.5 Two-Dimensional Whittaker Solitons; 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; 5.3.1 Interaction with Circular Spots; 5.3.2 Dielectric Interfaces; 5.3.3 Comments; 5.4 Voltage Control of Nematicon Walk-Off; 5.4.1 Out-of-Plane Steering of Nematicons