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Informationen zum Autor GAETANO ASSANTO, PhD, is Professor of Optoelectronics at the University of 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. Klappentext The first book of its kind to introduce the fundamentals, basic features and models, potential applications and novel phenomena and its important applications in liquid crystal technology.Recognized leader in the field Gaetano Assanto outlines the peculiar characteristics of nematicons and the promise they have for the future growth of this captivating new field. Zusammenfassung The first book of its kind to introduce the fundamentals, basic features and models, potential applications and novel phenomena and its important applications in liquid crystal technology. Inhaltsverzeichnis 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 1.2 Models 4 1.2.1 Scalar Perturbative Model 5 1.2.2 Anisotropic Perturbative Model 9 1.3 Numerical Simulations 13 1.3.1 Nematicon Profile 13 1.3.2 Gaussian Input 14 1.4 Experimental Observations 17 1.4.1 Nematicon-Nematicon Interactions 22 1.4.2 Modulational Instability 26 1.5 Conclusions 31 References 33 Chapter 2. Features of Strongly Nonlocal Spatial Solitons 37 Qi Guo, Wei Hu, 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 Schr¿odinger 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 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 Schr¿odinger Equation 81 3.4 Modulation Theory: Nonlinear Schr¿odinger 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. Beli¿c 4.1 Introduction 111 4.2 Mathematical Models 112 4.2.1 General 112 4.2.2 Nonlocality Through Response Function 113 4.3 Soliton Families in Strongly Nonlocal Nonlinear Media 115 4.3.1 One-Dimensional Hermite-Gaussian ...
