Nematicons
Spatial Optical Solitons in Nematic Liquid Crystals
(Sprache: Englisch)
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...
Recognized leader in the field Gaetano Assanto outlines the...
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Klappentext zu „Nematicons “
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.
Inhaltsverzeichnis zu „Nematicons “
Preface xvAcknowledgments 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
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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 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
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
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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 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
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
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Autoren-Porträt von Gaetano Assanto
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.
Bibliographische Angaben
- Autor: Gaetano Assanto
- 2012, 1. Auflage, 350 Seiten, Maße: 16,1 x 24 cm, Gebunden, Englisch
- Verlag: Wiley & Sons
- ISBN-10: 047090724X
- ISBN-13: 9780470907245
- Erscheinungsdatum: 19.12.2012
Sprache:
Englisch
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