激光在原子气体及电介质中的空间控制【2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载】

激光在原子气体及电介质中的空间控制PDF格式电子书版下载

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Chapter 1 BASIC THEORY1

1.1 The paraxial wave equation1

1.2 Susceptibilities in atomic vapors3

REFERENCES8

Chapter 2 SPATIAL LIGHT CONTROL10

2.1 Photonic topological insulators in atomic ensembles10

2.1.1 Theoretical model11

2.1.2 Refractive index change13

2.1.3 Topology of the photonic band gap structure14

2.1.4 Photonic Floquet topological insulator17

2.1.5 Discussion20

2.1.6 Summary23

Appendix Ⅰ:Band structure of a honeycomb lattice-the tight-binding method24

AⅠ.1 Full band structure24

AⅠ.2 Strained band structure27

Appendix Ⅱ:Band structure of a honeycomb lattice-the plane-wave expansion method29

2.2 Talbot effect of multi-wave mixings31

2.2.1 Theoretical model and analysis33

2.2.2 Suppression and enhancement conditions35

2.2.3 Talbot effect of multi-wave mixing signals37

2.2.4 Summary42

2.3 Nonlinear Talbot effect from rogue waves42

2.3.1 Basic rogue wave solutions43

2.3.2 One-dimensional case45

2.3.3 Two-dimensional case-linear Talbot effect47

2.3.4 Two-dimensional case-nonlinear Talbot effect51

2.3.5 Summary57

2.4 Beam splitter and combiner based on Bloch oscillations57

2.4.1 Waveguide array with m≤0 members modulated59

2.4.2 Beam splitter based on the V-type modulated waveguide array61

2.4.3 Beam combiner based on the ？-type modulated waveguide array62

2.4.4 Summary64

REFERENCES65

Chapter 3 NONLINEARITY-INDUCED SPATIAL MODULATION75

3.1 Introduction75

3.2 Optical vortices induced in atomic vapors76

3.2.1 Theoretical model77

3.2.2 Simple vortex and necklace incidence79

3.2.3 Azimuthon incidence81

3.2.4 The enhancement region85

3.2.5 The liquid-like behavior of light and potential experiment87

3.2.6 Summary87

3.3 Interactions between incoherent solitons88

3.3.1 Theoretical model88

3.3.2 Numerical simulations and discussions90

3.3.3 Summary95

3.4 Azimuthons in weakly nonlinear waveguides95

3.4.1 Theoretical model95

3.4.2 Rotating localized dipoles97

3.4.3 Rotating higher order localized modes105

3.4.4 Summary106

REFERENCES107

Chapter 4 SPATIAL CONTROL OF NOVEL LIGHT BEAMS114

4.1 Introduction114

4.2 Interactions between Airy beams114

4.2.1 Theoretical model115

4.2.2 Interactions of Airy beams118

4.2.3 Interactions of nonlinear accelerating beams121

4.2.4 Interactions of different accelerating beams123

4.2.5 Summary125

4.3 Airy beams with initial velocity126

4.3.1 One-dimensional case126

4.3.2 Two-dimensional case130

4.3.3 A little discussion132

4.3.4 Summary132

4.4 Dual accelerating Airy-Talbot recurrence effect133

4.4.1 Theoretical model133

4.4.2 Numerical simulations134

4.4.3 Superposition of finite-energy Airy beams137

4.4.4 Summary138

4.5 Nonparaxial self-accelerating beams139

4.5.1 Theoretical model140

4.5.2 Mathieu beams141

4.5.3 Weber beams143

4.5.4 Fresnel integrals145

4.5.5 Summary146

4.6 Fresnel diffraction patterns as self-accelerating beams147

4.6.1 One-dimensional case147

4.6.2 Two-dimensional case152

4.6.3 Summary153

4.7 Spatial control of light due to harmonic potential154

4.7.1 Theoretical model155

4.7.2 Solutions and numerical simulations156

4.7.3 Chirped finite energy Airy beams162

4.7.4 Two-dimensional Airy beams166

4.7.5 Two-dimensional case-the rotating light168

4.7.6 Summary174

4.8 Self-Fourier beams174

4.8.1 Theoretical model175

4.8.2 Discussion177

4.8.3 Analytical solutions179

4.8.4 Self-Fourier beams181

4.8.5 Summary184

4.9 Spatial control in a fractional Schr？dinger equation185

4.9.1 Theoretical model186

4.9.2 One-dimensional case188

4.9.3 Two-dimensional case191

4.9.4 Summary192

REFERENCES193

Chapter 5 CONCLUSION AND OUTLOOK202

5.1 Summary202

5.2 Outlook203

REFERENCES204

编后记206