Propagation of second-harmonic wave in quasi-phase-matching nonlinear medium

We studied the propagation of the second-harmonic (SH) wave in a quasi-phase-matching (QPM) medium with a slanted nonlinear grating. By solving the electromagnetic boundary value problem for the SH wave, we derived the propagation law for the SH wave, which can be interpreted as a diffraction phenomenon. Such interpretation was supported by a series of SH generation experiments with a periodically-poled lithium niobate crystal with a slanted QPM grating.     

固体板中SH板波非线性效应的实验观察

采用微扰近似和导波的模式展开分析方法,从理论上简要分析了SH板波的二次谐波发生效应;尽管在无限大固体介质中单个切变波的二次谐波发生效应非常微弱,但在一定条件下由两个切变波构成的SH板波可具有强烈的非线性效应;本文的主要工作就是对此结论加以实验验证。试制了激发SH板波的切变波斜劈换能器和接收二次谐波信号的液体斜劈换能器,建立了非线性SH板波的实验研究系统;通过详细的理论分析和对比实验研究,阐明了在一定条件下实验观察到的显著二次谐波信号来源于SH板波传播过程中的强烈非线性效应。此外,针对不同的SH板波传播距离,在远场条件下分别测量了相应的二次谐波幅频曲线;在基频SH板波与二倍频对称兰姆波相速度相等所对应的频率值附近,分析了二次谐波的振幅随传播距离的变化关系,结果证明在一定条件下SH板波的二次谐波振幅可随传播距离积累增长,即SH板波可具有强烈的非线性效应。      

Phase matching limitation of high-efficiency second-harmonic generation in both phase- and group-velocity-matched structures

In this paper, we studied efficient second-harmonic generation (SHG) of femtosecond pulses in both phase- and group-velocity-matched structures. Obtained results show that phase matching becomes more critical under conditions required for high levels of conversion efficiency. And the imperfect phase mismatch caused by mismatched group-velocity dispersion (GVD) will limit conversion efficiency as well as bandwidth of generated second-harmonic (SH) pulses. The spectral characteristics of the generated SH pulses and its conversion efficiency in the strong pump regime are investigated in detail. The acceptance bandwidth of nonlinear crystal in the high-efficiency SHG is redefined in the paper, and the definition is much closer to the practical application of design.     

Noncolinear Second-Harmonic Generation Pairs and Their Scatterings in Nd~(3+):SBN Crystals with Needle-Like Ferroelectric Domains

Second-harmonic generation in Nd~(3+):SBN crystal with needle-like ferroelectric with aperiodic domain structures is investigated. Two pairs of second harmonic(SH) waves appearing in lines are observed in unpoled Nd~(3+):SBN crystals with aperiodic needle-like domains. A pair of SH waves emit from the exit face, whose intensities are angle-dependent. The angular dependence is corresponding to the spatial frequency spectrum of the aperiodic domain structure. Another pair of SH waves emit from both the side surfaces, which are mainly the scattered SH waves by needle-like domain walls and obey the theory of Rayleigh scattering.     

Near-field second-harmonic microscopy of thin ferroelectric films

We present a near-field optical technique for second-harmonic imaging by use of tapered optical fiber tips externally illuminated with femtosecond laser pulses. Enhancement of the electric field at the tip of the fiber results in enhanced second-harmonic (SH) generation from the sample region near the tip. This SH emission is collected by the same tapered fiber. The spatial distribution and polarization properties of SH generation from thin ferroelectric films and a poled single crystal of BaTiO(3) have been studied. A spatial resolution of the order of 80 nm was achieved. Symmetry properties of the near-field SH signal allow us to recover the local poling direction of individual ferroelectric domains in the film. Thus the technique provides a novel tool for nanometer-scale crystal analysis of polycrystalline samples.     

Wavelength dependence of second-harmonic generation at the copper surface

The wavelength dependence of the second-harmonic (SH) generation efficiency has been measured in copper. A strong enhancement of the SH generation has been observed at the onset of interband transitions. Above the absorption edge the second-order polarization is dominated by the nonlinear response of bound electrons.     

101 W of average green beam from diode-side-pumped Nd:YAG/LBO-based system in a relay imaged cavity

A 52-W green laser at 532 nm by extra-cavity second-harmonic generation in a coupled-cavity configuration is demonstrated. The fundamental laser is a diode-side-pumped acousto-optic (AO) Q-switched Nd:YAG rod laser producing 84 W of average power at 1064 nm at 8 kHz repetition rate. Type-II phase-matched polished KTP crystal is used as the nonlinear crystal for second-harmonic generation. The individual green pulse width is 50 ns and the fundamental to second harmonic conversion efficiency is 61.8%.     

Efficient and high-power green beam generation by frequency doubling of acousto-optic Q-switched diode-side pumped Nd:YAG rod laser in a coupled cavity

A 52-W green laser at 532 nm by extra-cavity second-harmonic generation in a coupled-cavity configuration is demonstrated. The fundamental laser is a diode-side-pumped acousto-optic (AO) Q-switched Nd:YAG rod laser producing 84 W of average power at 1064 nm at 8 kHz repetition rate. Type-II phase-matched polished KTP crystal is used as the nonlinear crystal for second-harmonic generation. The individual green pulse width is 50 ns and the fundamental to second harmonic conversion efficiency is 61.8%.     

Experimental demonstration of linear precompensation of a nonlinear transfer function due to second-harmonic generation

We report on what we believe is the first experimental demonstration of the linear precompensation of a nonlinear transfer function due to frequency conversion. As a proof of principle, we show the effective precompensation with an interferometric filter of FM-to-AM conversion due to second-harmonic generation in a potassium titanyl phosphate crystal.     

Spatio-temporal resonance in generation of subharmonics,sum and difference frequencies in photorefractive crystals

Illumination of a photorefractive crystal by light containing two interference patterns (generally running) is considered. As well as linear terms in the response, the nonlinear ones are calculated, corresponding to sum and difference spatial frequencies. Efficient recording of those nonlinear gratings due to temporal phase-matching, i.e. phaselocked detection, is predicted under the application of spatially homogeneous field with DC and/or with sinusoidal time dependence. Thresholds for parametric instabilities of the types of subharmonic generation are calculated for different cases.     

Induced Diffraction in Phase-Mismatched Second-Harmonic Generation

We show analytically that in phase-mismatched second-harmonic generation, an effective diffraction is induced at the second-harmonic （SH） frequency. Numerical simulation results agree with the analytical predictions. Compared to the case of linear propagation, the effect of the overall diffraction at the SH frequency becomes doubled due to the induced diffraction, which causes an interesting result that the SH beam width will be larger than that of the fundamental field.     

Reflected and transmitted second harmonics generation by an obliquely p-polarized laser pulse incident on a vacuum-plasma interface

The theoretical investigation is developed for the phenomenon of second-harmonic (SH) generation by a p-polarized laser pulse at oblique incidence on a vacuum-plasma interface. We considered the simultaneous SH generation inside the plasma as well as vacuum due to the reflected component of the laser pulse. The results approved that the SH conversion efficiency drastically increases, for both transmitted and reflected components, when the incident angle approaches to its critical value. We found that the maximum SH efficiency is greater for transmitted component, however, the reflected component is more proper for technical and experimental applications.     

Highly efficient second-harmonic nanosource for near-field optics and microscopy

A nanometric source of second-harmonic (SH) light with unprecedented efficiency is demonstrated; it exploits the grazing-incidence illumination of a metal tip, which is conventionally used for atomic force microscopy, by 25-fs laser pulses of a high-energy Ti:sapphire oscillator. Tip scanning around the beam focus shows that the SH generation is strongly localized at its apex. The polarization dependence of the SH light complies with the model of an on-axis nonlinear oscillating dipole.     

双折射吸收非线性介质薄膜中倍频的产生

从二次谐波电场满足的波动方程出发，考虑到介质对二次谐波的吸收以及把完全边界条件应用于基频波和二次谐波在介质的入射面和出射面之间的反射效应，推导出了单光轴非线性薄膜介质中的二次谐波输出功率的计算式.结果表明：当采用复折射率的概念时，可以把非线性无吸收介质的二次谐波输出功率计算式应用到非线性吸收介质二次谐波输出功率计算式中去.     

双折射吸收非线性介质薄膜中倍频的产生

从二次谐波电场满足的波动方程出发,考虑到介质对二次谐波的吸收以及把完全边界条件应用于基频波和二次谐波在介质的入射面和出射面之间的反射效应,推导出了单光轴非线性薄膜介质中的二次谐波输出功率的计算式.结果表明：当采用复折射率的概念时,可以把非线性无吸收介质的二次谐波输出功率计算式应用到非线性吸收介质二次谐波输出功率计算式中去. 关键词： 非线性 倍频 二次谐波功率     

Study of second-harmonic generation of shear horizontal modes using modal analysis

In this work a modal analysis was employed to study generation of the second harmonics of shear horizontal (SH) modes in a solid plate. Under second order perturbation, second-harmonic generation will occur accompanying SH mode propagation due to the bulk elastic non-linearity of plate material. In solid plate the total second-harmonic fields of a SH mode propagation are regarded as sum of the fields of a series of double frequency Lamb modes (DFLMs). The contribution of each DFLM component to the total second-harmonic fields is dependent of the difference of phase velocities of the corresponding DFLM and SH mode. The analysis results show that the DFLM field component may have cumulative growth effect once its phase velocity exactly or approximately equals that of a SH mode. It is also found that the fields of the total second harmonics of a SH mode are only symmetrical. The examples of field distributions of several DFLMs on the plate surface are considered.     

Magnetoplasmonic crystals: Resonant linear and nonlinear magnetooptical effects

Results of spectroscopic analysis of the optical second-harmonic (SH) generation in magnetic plasmonic structures comprised of iron garnet and periodic arrays of gold stripes are presented. It is shown experimentally that, in the region of the resonant excitation of a surface plasmon on the metal–magnetic dielectric interface, an increase in the SH intensity and an alternating modulation of the magnetic contrast for the SH, reaching 40%, are observed. The results are described in terms of a nonlinear Fano resonance.     

基频倍频光群速度对超短脉冲三倍频的影响分析

在超短脉冲的谐波转换过程中, 由于不同波包之间的群速度失配的存在, 非线性晶体的有效厚度、转换效率及带宽等将相互制约, 不能获得理想结果。基于耦合波方程, 在平面波和小信号近似条件下推导出了关于基频、倍频光群速度关系的解析表达式。通过对200 fs超短脉冲在II类KDP晶体中的混频过程的模拟分析, 发现在满足相位匹配的前提下, 三次谐波转换效率随着基频、倍频光群速度倒数的差值的平方呈现出指数衰减的关系, 与理论结果吻合。得出的关于基频光、倍频光群速度的表达式, 作为三倍频群速度匹配关系式的必要补充, 对寻找合适的色散晶体和选择有效的匹配措施, 实现宽带三次谐波转换具有理论指导意义。     

基于单晶体的可调谐参量超荧光的产生

研究了一种基于单晶体的可调谐超荧光产生机理，在一个偏硼酸钡(BBO)晶体中实现了飞秒脉冲倍频过程和光参量产生过程.实验中采用kHz高功率钛宝石激光系统输出的飞秒脉冲光倍频后的蓝光作为抽运光，获得了可调谐范围为480—530 nm参量超荧光光谱输出.理论上分析了这种超荧光产生机理，并利用放大传递函数模拟出参量超荧光环的产生过程.结果表明，在一个BBO晶体中，当抽运光源输出光入射晶体角度同时满足倍频相位匹配角和非共线光参量产生相位匹配角时可产生参量超荧光环，通过微调相位匹配角可控制参量超荧光光谱调谐输出.该理论和实验研究为控制参量超荧光和量子纠缠态的产生提供了理论依据，对于量子成像和量子通讯等领域的发展具有重要意义.     

A novel quasi-phase-matching frequency doubling technique

A new quasi-phase-matching technique for efficient second-harmonic generation is reported. It is based on the spatial periodic modulation of the light intensity along the propagation direction, rather than the conventional spatial periodic modulation of the nonlinear optical coefficients. It can be realized by using a novel dual-channel waveguide frequency doubler structure for the desired light intensity distribution. This dual-channel waveguide device has major advantages including very small beam size, high light intensity within long nonlinear-waveguide interaction length, highly efficient second-harmonic generation, ease in fabrication of the nonlinear channel waveguides without any spatially periodic poling, and low waveguide propagation losses. The new quasi-phase-matching technique can also be applied to third-harmonic generation and other nonlinear optics processes.