Nonlinear Performance and Characterization Methods in Optics


Jingsong Wei, PhD (Editor)
Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai, China

Series: Lasers and Electro-Optics Research and Technology
BISAC: MED106000

Nonlinear optical phenomena have been widely investigated and well understood since the invention of the Laser. Lots of applications of the nonlinear optical phenomena have always been advanced in various fields, such as, optical information storage, all-light computing, optical switch, optical limiters, micro-nano-fabrication, etc. Nonlinear optics has been developed into a subfield of optics, and there is no indication that either the developments of nonlinear optics or its applications are slowing down. In nonlinear optics, the characterization and measurement techniques of the nonlinear index are critical for understanding the nonlinear physical process and developing new applications. In this book, different optical nonlinearity characterization and measurement methods are introduced and nonlinear problems are discussed theoretically.

Chapter 1 to Chapter 7 is about the optical nonlinearity characterization and measurement methods. The first chapter presents the third-order optical nonlinearity measurement techniques with phase objects. The second chapter describes a modification of the well-known z–scan technique based on the direct measurement of the beam dimensions in the far field. The third chapter introduces a nonlinear index characterization method based on Fresnel–Kirchhoff diffraction integrals. The fourth chapter gives single‒shot techniques for the measurement of the nonlinear optical refraction of the materials with limited and high transparency. The fifth chapter analyzes three kind of pseudo-nonlinearity and the corresponding elimination methods in the z-scan measurement. The sixth chapter is about the measurement of the thermal-optic coefficients with laser pulse width tunable z-scan method. The seventh chapter introduces an improved z-scan technique by considering Fresnel reflection loss.

Chapter 8 and Chapter 9 are studies about nonlinear Schrödinger equations. Chapter 8 introduces basic types of trapped modes and their spontaneous symmetry breaking phenomenology in nonlinear systems including the 1D rotating ring and both cases of the self-focusing and self-defocusing cubic nonlinearities. Chapter 9 deals with two problems: the first is to discuss the nonhomogeneous nonlinear Shrödinger equation with critical exponent, and the second is to discuss a class of nonlinear Shrödinger equations with combined power-type nonlinearities and harmonic potential. Chapter 10 analyzes the quenching phenomena of the Cauchy problem for the second-order nonlinear parabolic equation on unbounded domain and fourth-order nonlinear parabolic equations with special absorption term.
This book is invaluable to advanced undergraduates, graduate students and researchers working in the fields of physics, materials, and chemistry. (Imprint: Nova)



Table of Contents


Chapter 1. The Development and Application of Third-order Optical Nonlinearities Measurement Technique with Phase Object
(Zhongguo Li and Yinglin Song, Department of Physics, Harbin Institute of Technology, Harbin, P.R. China, and others)

Chapter 2. Theory and Applications of the Z-scan Technique through Beam Dimension Measurements
(George Tsigaridas, Department of Physics, National Technical University of Athens, Heroon Polytechniou, Athens, Greece, and others)

Chapter 3. Z-scan Technique Using Fresnel–Kirchhoff Diffraction Method
(Ehsan Koushki, Physics Department, Kharazmi University, Tehran, Iran, and others)

Chapter 4. Measurements of Nonlinear Optical Parameters of Transparent and Nontransparent Materials Using Single-Shot Techniques
(R.A. Ganeev, Imperial College London, Prince Consort Road, London, UK)

Chapter 5. Pseudo-Nonlinearity and Elimination in Z-scan Measurement
(Rui Wang, Hui Yan and Jingsong Wei, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai, China, and others)

Chapter 6. Thermo-optical Coefficient Measurement with Laser Pulse Width Tunable Z-scan Method
(Jingsong Wei, Shanghai Institute of Optics and Fine Mechanics,
Chinese Academy of Sciences, Shanghai, China)

Chapter 7. Z-scan Technique Considering the Fresnel Reflection Loss
(Jingsong Wei, Shanghai Institute of Optics and Fine Mechanics,
Chinese Academy of Sciences, Shanghai, China)

Chapter 8. Trapped Modes and Symmetry Breaking of Photonic and Atomic Waves in Rotating Double-Well Potentials
(Yongyao Li, Wei Pang and Boris A. Malomed, Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv, Israel, and others)

Chapter 9. Sharp Criterion of Global Existence for a Class of Nonlinear Schrodinger Equation
(Chuang Xu and Runzhang Xu, College of Science, Harbin Engineering University, People’s Republic of China, and others)

Chapter 10. Quenching Phenomena for Second and Fourth Order Nonlinear Parabolic Equations with Special Absorption Term
(Junsheng Zhao, Xiaotong Qiu and Senyang Wu, College of Mathematical Science, Heilongjiang University, China, and others)


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