非线性光学五十年

文章简要回顾了非线性光学的诞生以及早期的发展,包括二次谐波,激光和频和差频现象,受激拉曼散射,以及激光的一些自作用行为等,介绍了非线性光学的一些重要研究成果和应用,包括非线性光谱学,位相共轭和自适应光学,相干非线性光学以及高次谐波等,最后对非线性光学当前和未来研究热点作了总结和展望.     

HMO in geometrical optics

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Kramers-Kronig type of dispersion relation in nonlinear optics

The applicability of Kramers-Kronig (K-K) relation under nearly sharp resonant transition regime in narrow-gap semiconductors has been established and consequently, a generalized dispersion relation for nonlinear optical susceptibility of a dielectric is derived. This relation can be employed in the study of nonlinear optical processes in solids as well as in plasmas over a wide frequency spectrum.     

Self-trapping and Self-focusing of Light Beams in Uniaxial Crystals

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HMO model of scalar field in medium and self-focusing

In this paper, the HMO model of scalar field in medium is presented using the general covariant classical theory of scalar field in medium, which is regarded as a curved space-time represented by optical metric model (OMM) and the case of self-focusing is discussed.     

手性分子介质非线性光学研究新进展

文章介绍了近年来手性分子介质及材料的非线性光学性质的研究状况，综述了手性分子非线性微观模型的使用情况，给出了一些典型的二阶、三阶非线性光学实验结果，用这些微观模型可以正确地分析这些结果．同时指出了未来研究的趋势，及研究成果可能应用的领域．     

Modelling of strongly nonlinear sinusoidal Bragg gratings by the Method of Single Expression

The one-dimensional problem of plane EM wave interaction with strongly nonlinear sinusoidal Bragg gratings is exactly solved using the new Method of Single Expression (MSE). The basic point of the method is the presentation of the electrical field in the modulated medium (Bragg grating) in the form of a single expression, contrary to the traditional counter-propagating waves approach. The spectral characteristics of linear Bragg gratings of different length are presented. The influence of loss or gain on the spectral characteristics of Bragg gratings is considered. The electrical field amplitude distributions along a grating at the wavelengths corresponding to the minima and maxima of reflectivity in the vicinity of the Bragg resonance are illustrated. Bistable and multistable dependences of reflectivity on the incident electrical field amplitude are obtained for negative and positive nonlinearities.     

All Optical Light Deflection and Displacement Using Nonlinear Slab Waveguide

The possibility of all optical control of light deflection and displacement through a planar nonlinear waveguide has been discussed in this article. In this scheme a strong command beam controls the propagation characteristics of a weak signal beam in a nonlinear waveguide. Employing variational approach, we have established a set of coupled nonlinear equations for the displacement of the center of gravity, beam size, deflection angle, and beam divergence of the signal beam. These equations have been solved numerically to confirm the possibility of all optical control of deflection and displacement of a signal beam by a command beam.     

非相干非线性光学理论方法及其进展

文章主要综述了非相干非线性光学的几种理论方法,包括互相干函数法、相干密度法、自洽模理论、Wigner转换法、近似射线光学法和热动力学法等.其中,着重阐述了近期发展起来的理论方法——热动力学法,并对其原理进行了概括.对这几种理论方法的理解和探讨对非相干非线性光学效应的研究具有很重要的指导意义,有利于非相干非线性光学理论的进一步发展和完善.     

Dielectric superlattices for nonlinear optical effects

Dielectric superlattices show a lot of new phenomena that are promising in applications, such as nonlinear optical frequency conversion and optical bistability. This paper reviews the main achievements in this field. Much has been focused on the work done in our Lab. Since 1980, we have extended the concept of superlattice from semiconductor to dielectrics. When quasi-phase-matching technique is introduced into a quasiperiodic dielectric superlattice, more interesting phenomena can occur. For example, multiwavelength second-harmonic generation and coupled parametric processes such as direct third-harmonic generation have been realized with high efficiency. A new mechanism for optical bistability in a 2-dimensional dielectric superlattice, i.e. a 2-dimensional nonlinear photonic crystal, has been proposed theoretically had proved experimentally.     

A variational approach to nonlinear evolution equations in optics

A tutorial review is presented of the use of direct variational methods based on Rayleigh-Ritz optimization for finding approximate solutions to various nonlinear evolution equations. The practical application of the approach is demonstrated by some illustrative examples in connection with the nonlinear Schrödinger equation.     

界面与低维体系的非线性光学研究

自诞生以来,非线性光学始终是物理学中的一门前沿领域,拥有引人入胜的丰富现象与广泛应用。文章结合作者近年来的研究,简要介绍了表面非线性光谱学的原理、发展与近况,及其与低维材料体系结合所拓展出的新方向。     

Optical bistability in an all-optical fiber nonlinear fabry-perot resonator with linear absorption

An all-optical fiber nonlinear Fabry-Perot resonator is proposed. The steady-state model for describing this resonator is developed. The transmission and refection bistabilities are shown numerically. Our results show that the bistability in this system is similar to that in a normal nonlinear Fabry-Perot etalon, except that the characteristics of the bistability can be changed not only by the cavity length but also by the phase shifts of the fiber loop mirrors.     

Fundamentals of nonlinear optical materials

In this article, we briefly review the fundamental aspects of nonlinear optical materials and their role in modern communication.     

高斯光束非线性“热像”效应研究

高功率激光系统中非线性“热像”强度可能达到光学元件损伤阀值,从而对系统的安全运行造成威胁.以往的非线性“热像”现象研究都是基于无限大平面光波背景,但实际系统中传输的是有限束宽光束.本文以高斯光束为例,基于无像差自聚焦理论分析了有限束宽光束的“热像”形成规律.结果表明,高斯光束“热像”的强度与位置在光束腰斑较小时与平面光波情况有明显不同,但光束腰斑较衍射物大得多时,高斯光束可以近似当作平面光波处理.     

Self-compression of femtosecond pulses in argon with a power close to the self-focusing threshold

Self-compression of femtosecond pulses in noble gases with an input power close to the self-focusing threshold has been investigated experimentally and theoretically. It is demonstrated that either multiphoton ionization （MPI） or space-time focusing and self-steepening effects can induce pulse shortening, but they predominate at different beam intensities during the propagation. The latter effects play a key role in the final pulse self-compression. By choosing an appropriate focusing parameter, action distance of the space-time focusing and self-steepening effects can be lengthened, which can promote a shock pulse structure with a duration as short as two optical cycles. It is also found that, for our calculation cases in which an input pulse power is close to the self-focusing threshold, either group velocity dispersion （GVD） or multiphoton absorption （MPA） has a negligible influence on pulse characteristics in the propagation process.     

深度非线性度量学习在说话人确认中的应用

将非线性度量学习(Nonlinear Metric Learning,NML)应用于说话人确认,提出了一种基于深度独立子空间分析(Independent Subspace Analysis,ISA)网络的说话人确认方法。区别于传统的线性度量学习方法,该方法使用深度独立子空间分析网络来学习一种从说话人原始空间到优化子空间的非线性显式映射,并在此基础上计算两条语音之间的相似性,以获得更好的说话人确认性能.所提方法在NIST SRE 2008数据集上进行了评估。评估结果表明,所提算法的等错误率指标相比传统的基于余弦距离打分的i-vector算法、线性判别分析(Linear Discriminant Analysis,LDA)算法、概率线性判别分析(Probabilistic Linear Discriminant Analysis,PLDA)算法分别下降了11.02%,6.40%和4.579%。