張貽齊、米利沃·貝裡奇、張彥鵬著的《激光在
原子氣體及電介質中的空間控制/博士後文庫》講述
了：In this book, the authors introduce
their achievements in spatial control of
light in atomic vaporsand dielectric media.
There are five chapters in this book. In
Chapter 1, the basic concepts andtheories
used in this book are introduced. From
Chapter 2 to Chapter 4, the authors report
theirresearch results in detail. The topics
include photonic topological insulators,
Talbot effect, opticalrogue waves, optical
vortices, azimuthons, incoherent solitons,
Airy beams, Bessel beams,
Fresneldiffraction, and fractional
Schr6dinger equations, which are optical hot
subjects in recent years. Theauthors
summarize the book in Chapter 5, and
meanwhile make an outlook on their future
work.Whilst all the chapters are seemingly
independent in form, they connect with each
other in content.
This book can be a reference for
researchers as well as graduate students in
optical physics. Inaddition, this book is
also good and helpful to undergraduates
majored in physics and opto-electronics.

FOREWORD
Chapter 1 BASIC THEORY
1.1 The paraxial wave equation
1.2 Susceptibilities in atomic vapors
REFERENCES
Chapter 2 SPATIAL LIGHT CONTROL
2.1 Photonic topological insulators in atomic ensembles
2.1.1 Theoretical model
2.1.2 Refractive index change
2.1.3 Topology of the photonic band gap structure
2.1.4 Photonic Floquet topological insulator
2.1.5 Discussion
2.1.6 Summary
Appendix I: Band structure of a honeycomb lattice - the tight-binding
method
AI.1 Full band structure
AI.2 Strained band structure
Appendix II: Band structure of a honeycomb lattice - the plane-wave
expansion method
2.2 Talbot effect of multi-wave mixings
2.2.1 Theoretical model and analysis
2.2.2 Suppression and enhancement conditions
2.2.3 Talbot effect of multi-wave mixing signals
2.2.4 Summary
2.3 Nonlinear Talbot effect from rogue waves
2.3.1 Basic rogue wave solutions
2.3.2 One-dimensional case
2.3.3 Two-dimensional case - linear Talbot effect
2.3.4 Two-dimensional case - nonlinear Talbot effect
2.3.5 Summary
2.4 Beam splitter and combiner based on Bloch oscillations
2.4.1 Waveguide array with m≤0 members modulated
2.4.2 Beam splitter based on the V-type modulated waveguide array
2.4.3 Beam combiner based on the A-type modulated waveguide array
2.4.4 Summary
REFERENCES
Chapter 3 NONLINEARITY-INDUCED SPATIAL
MODULATION
3.1 Introduction
3.2 Optical vortices induced in atomic vapors
3.2.1 Theoretical model
3.2.2 Simple vortex and necklace incidence
3.2.3 Azimuthon incidence
3.2.4 The enhancement region
3.2.5 The liquid-like behavior of light and potential experiment
3.2.6 Summary
3.3 Interactions between incoherent solitons
3.3.1 Theoretical model
3.3.2 Numerical simulations and discussions
3.3.3 Summary
3.4 Azimuthons in weakly nonlinear waveguides
3.4.1 Theoretical model
3.4.2 Rotating localized dipoles
3.4.3 Rotating higher order localized modes
3.4.4 Summary
REFERENCES
Chapter 4 SPATIAL CONTROL OF NOVEL LIGHT BEAMS
4.1 Introduction
4.2 Interactions between Airy beams
4.2.1 Theoretical model
4.2.2 Interactions of Airy beams
4.2.3 Interactions of nonlinear accelerating beams
4.2.4 Interactions of different accelerating beams
4.2.5 Summary
4.3 Airy beams with initial velocity
4.3.1 One-dimensional case
4.3.2 Two-dimensional case
4.3.3 A little discussion
4.3.4 Summary
4.4 Dual accelerating Airy-Talbot recurrence effect
4.4.1 Theoretical model
4.4.2 Numerical simulations
4.4.3 Superposition of finite-energy Airy beams
4.4.4 Summary
4.5 Nonparaxial self-accelerating beams
4.5.1 Theoretical model
4.5.2 Mathieu beams
4.5.3 Weber beams
4.5.4 Fresnel integrals
4.5.5 Summary
4.6 Fresnel diffraction patterns as self-accelerating beams
4.6.1 One-dimensional case
4.6.2 Two-dimensional case
4.6.3 Summary
4.7 Spatial control of light due to harmonic potential
4.7.1 Theoretical model
4.7.2 Solutions and numerical simulations
4.7.3 Chirped finite energy Airy beams
4.7.4 Two-dimensional Airy beams
4.7.5 Two-dimensional case-the rotating light
4.7.6 Summary
4.8 Self-Fourier beams
4.8.1 Theoretical model
4.8.2 Discussion
4.8.3 Analytical solutions
4.8.4 Self-Fourier beams
4.8.5 Summary
4.9 Spatial control in a fractional SchrSdinger equation
4.9.1 Theoretical model
4.9.2 One-dimensional case
4.9.3 Two-dimensional case
4.9.4 Summary
REFERENCES
Chapter 5 CONCLUSION AND OUTLOOK
5.1 Summary
5.2 Outlook
REFERENCES