Airy beams in nonlinear media

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Table of contents

1 General Introduction 
1.1 Photonics
1.1.1 What is a Photon?
1.1.1.1 The MASER and the LASER
1.1.1.2 Fiber Optics
1.2 Non conventional beams and nonlinear media
1.2.1 Non-conventional beams
1.2.2 Linear and nonlinear media
1.2.2.1 Spatial solitons
1.2.2.2 Airy beams in nonlinear media
1.2.3 Imprinting in photorefractive media
1.2.4 Outline
2 Experimental generation of Airy beams 
2.1 An overview of Airy beams
2.1.1 What are Airy beams?
2.1.2 How are Airy beams generated?
2.2 Airy beam generation using LCOS SLM
2.2.1 LCOS SLM Technology
2.2.2 Influence of experimental conditions on the generation of Airy Beams
2.2.2.1 Border effects and pixelisation limit
2.2.2.2 Parameter range
2.3 Conclusions
3 Airy beam propagation in nonlinear media 
3.1 Physical concepts: Solitons and Photorefractive effect
3.1.1 Solitons
3.1.2 Photorefractive crystals
3.1.3 Photorefractive soliton
3.2 Finite Airy beam propagation in photorefractive media
3.2.1 Airy beams in photorefractive media
3.2.2 Experimental propagation of 1D Airy beam
3.2.3 Numerical analysis
3.3 Conclusion
4 2D Airy beam propagation in photorefractive media
4.1 Propagation dynamic and soliton formation in two-dimensional saturable nonlinear media
4.1.1 Experimental observation of 2D Airy beam propagation in photorefractive media
4.2 Self-bending of the OSS and time considerations
4.3 2D Airy beam propagation behavior and soliton existence curve
4.4 Conclusion
5 Counter propagating Airy beams in photorefractive medium 
5.1 Overview of beam interactions and interconnects in photorefractive media
5.2 Numerical Antisymmetric Airy beam propagation in nonlinear self-focusing conditions
5.2.1 Antisymmetric Airy beams interactions scheme
5.2.2 Optical interconnections for a transverse shift d=1
5.3 Stability of the photoinduced waveguides to input positions
5.4 Conclusion
6 Conclusion and Perspectives 
6.1 Conclusion
6.2 Perspectives
6.2.1 The use of nonconventional beams
6.2.1.1 Diverse ways to propagate light
6.2.1.2 Challenging the existing theoretical and numerical models
6.2.1.3 Transition dynamics from linear to nonlinear propagation
6.2.2 Off-shooting Soliton stability
6.2.3 Instability of counterpropagating waveguides
6.2.4 Experimental waveguiding of probe beams
6.2.5 Greater control of the focusing conditions

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