Study on Z-scan characteristics of cascaded nonlinear media

An analytic solution and a numerical simulation are provided to analyze Z-scan curves of cascaded nonlinear medium layers or a complicated cascaded structure. The analytic method is based on the Gaussian decomposition method (GDM) and distributed-lens method, and the numerical simulation uses Crank–Nicholson finite difference scheme. A comparison between them is made, which shows that they have a good agreement both with each other and the experiment data. It will be useful to design optical limiters and determine the nonlinearities of cascaded medium layers. PACS 42.65.-k, 42.65.Jx, 41.20.Jb     

串级结构Z扫描特性的分析

对非线性介质串级结构的Z扫描特性进行了分析，分别给出了解析解和数值解. 解析分析主要是基于高斯分解方法（GDM）和分布透镜方法的组合；数值分析采用了Crank-Nicholson有限差分方法和快速汉克尔变换方法(FHT). 同时，也给出了这两种数值分析的使用条件和方法. 将解析结果、数值结果和实验结果进行了比较，结果显示它们具有很好的一致性. 关键词： 串级结构 Z扫描 有限差分方法 快速汉克尔变换     

基于单光束Z-scan技术的非线性测量技术的发展

介绍了由Sheik-Bahae等人提出的、用于测量材料三阶非线性的单光束Z-scan技术。该技术能同时测量材料的非线性折射和非线性吸收,并能给出非线性折射的符号。介绍了以该技术为基础并经改进的几种测量技术:遮挡Z-scan,I-scan和微分Z-scan。引出了近10年来新发展的相位4f相干成像技术,并对其基本原理进行了阐述,分析了其应用特点。该技术具有使用单脉冲进行测量,光路简单,测量灵敏度高,无样品移动等特点。     

Effect of coupling between linear absorption and nonlinear absorption on Z-scan measurements

The contribution of multiphoton absorption to open-aperture Z-scan measurements is analysed by coordinate transformation. The approximate closed-form solution is obtained, which is suitable for application in higher-optical power regime. As an example, the coupling between linear absorption and two-photon absorption is discussed in detail.     

Nonlinear optical properties in double-sided nonlinear media with Z-scan technique based on the Huygens——Fresnel principle

We present a theoretical model to analyse the propagation of a Gaussian laser beam through double-sided nonlinear media. This model is based on the Huygens--Fresnel diffraction integral method. This theoretical model is not only consistent with the cascade structure model for a small nonlinear phase-shift but also can be used for a large nonlinear phase-shift. It has been verified that it is suitable to characterize the double-sided nonlinear media compared with the cascade structure model. A good agreement between the experimental data and the results from the theoretical model is obtained. It will be useful for the design of multi-sided nonlinear materials.     

Study of nonlinear absorption in GaAs/AlGaAs multiple quantum wells using the reflection Z-scan

The room-temperature third order nonlinearities in GaAs/AlGaAs multiple quantum wells have been studied using reflection Z-scan technique. Band-filling effect is considered to be the major nonlinear mechanism of the nonlinear absorption. A model to calculate the absorption coefficient of quantum wells in the nonlinear regime is presented.      

Extension of Reflectance and Transmission Coefficient Matrix to C-method for study of periodic multilayer system

The C-method is one of the most efficient and versatile method designed for diffraction gratings. The boundary conditions of the grating can be greatly simplified when the coordinate systems coincide with the surfaces of the grating. Reflectance and Transmission Coefficient Matrix (RTCM) with clearly physical concept is a powerful propagation algorithm proposed for steady and fast calculation of multilayer gratings. In this paper, the C-method is extended to treat the multilayer diffraction grating with the identical or nonidentical surface shapes. Numerical examples including diffraction efficiencies of both dielectric and metallic grating are presented. In addition, the excellent convergence for various adjacent-heights and diffracted orders of our propagation algorithm for TE and TM polarizations is also included.     

纳米PIC-I分子聚集体的超辐射和Z-扫描研究

分子聚集体在非线性光学和集成光学等领域有潜在的应用前景。纳米结构一维染料分子J—聚集体有许多既不同于单个分子又不同于体材料的奇异性质，即超辐射和巨光学非线性。这种超辐射是由于在几个本征态内振于强度结合在一起，得到一巨跃迁偶极于，因而是超辐射的。跃迁速率与耦合分子个数N成正比。分子聚集体的J—吸收和超辐射发射是共振的。利用Z—扫描技术测量PIC在不同配比下的非线性折射率、非线性吸收系数和非线性极化率。观测到随着链长变短，样品的三阶非线性极化率增大。对这种非线性增强的机制进行了分析和讨论。     

Sensitivity of Z-scan using diffraction efficiency

We report Z-scan and eclipsing Z-scan experimental traces measuring diffraction efficiency in the image plane of the 4f system. Using nonlinearly diffracted energy, the sensitivity of both techniques is compared in order to increase the signal-to-noise ratio. The optimization of the optical signal for nonlinear characterization is proposed. A simple linear relation is provided in order to characterize nonlinear refraction from diffraction efficiency measurements. The influence of the nonlinear absorption is discussed.     

Application of coordinate transformation and finite differences method for electron and hole states calculations

In this work we are particularly interested for GaAs/Ga_1−xAl_xAs V-groove quantum wires. The paper presents an efficient and simple method for energy spectra and wave function calculations of electrons and holes in V-groove quantum wires. The method is based on the coordinate transformation of the V-groove quantum wire structure and the computational domain using a function proposed by Inoshita. Then, the Hamiltonian followed by implementation of the FDM (Finite Difference Method) in the new computational space leads to an eigenvalues problem resolved using specialized LAPACK’s routines. The influence of the parameters introduced in the mathematical function, is studied on the energy levels of electrons and holes as well as the oscillator strengths.     

非线性相移对Z-scan曲线对称性的影响

 基于由光束传输的ABCD矩阵得出的Z-scan透过率的解析结果,分析了Z-scan实验曲线随非线性相移的变化规律。发现随着相移的增加,折射非线性相移比吸收非线性相移对Z-scan曲线对称性的影响更大。对于具有强饱和吸收和弱自聚焦特性的非线性介质,其Z-scan曲线随非线性折射相移的变小将失去典型的类色散特点。对于1μm厚的ZnCdSe-ZnSe多量子阱,扫描光源采用532 nm的基模高斯光束,采用透过率表达式来拟合所得的实验数据,在吸收非线性相移为0.9与耦合因子为-10条件下,推算出三阶非线性吸收系数为2×10^-3 cm/W,三阶非线性折射系数为 8.0×10^-8 cm²/W,这与J.Ma等人的结果吻合。最后对曲线特征参数随非线性相移变化进行了数值计算,得到的曲线所对应的非线性相移与曲线谷位置的乘积近似为一常量,值为0.166。     

基于衍射理论的Z扫描技术分析与数值模拟

以菲涅耳-基尔霍夫衍射理论为基础,对通过非线性介质的高斯光束传输行为进行理论分析,分别给出了强吸收、无吸收情况下开孔、闭孔Z扫描曲线公式;对不同条件下非线性介质的归一化透过率进行数值模拟计算,发现Z扫描曲线透射峰和透射谷表现出3种新的特性:随着入射激光峰值光强的增加,Z扫描曲线透射峰的高度受到抑制,而透射谷则加强变得更深;非线性相移的增加对Z扫描曲线透射峰和透射谷均有增高和加深的作用;激光束束腰半径越大,Z扫描曲线的峰谷特征越明显。     

Z-扫描技术与非线性光学材料性质的测量

介绍了Z-扫描技术的基本原理，以及Z-扫描技术在测量非线性光学介质的非线性折射率、非线性吸收系数和光学限制器等方面的应用，以细菌视紫红质(bR膜)、碘的酒精溶液和偶氮材料CN2为例，分别介绍了它们的测量结果，给出了提高Z-扫描灵敏度的改进方法，介绍了其发展装状况。     

Third order nonlinear optical properties of potassium dichromate single crystals by Z-scan technique

Single crystal of potassium dichromate (KDC) has been grown from aqueous solution by slow evaporation technique. The lattice parameters of the grown crystal were determined by X-ray diffraction analysis. The optical absorption studies reveal that the crystal has UV cut-off wavelength around 240 nm. Thermo gravimetric and differential thermal (TGA/DTA) studies revealed that the crystal thermally stable up to 397.1 °C. The mechanical strength of the grown crystal was carried out by Vickers micro hardness test. The crystal perfection was confirmed by etching studies. Third order nonlinear optical studies was performed using by single beam Z-scan technique using continuous Nd:YAG laser. Closed aperture Z-scan studies reveal the negative nonlinearity in the crystals and open aperture Z-scan reveals the saturation absorption. Also various parameters such as nonlinear refractive index n₂, absorption co-efficient β and nonlinear optical susceptibility χ⁽³⁾ were calculated for the grown crystal.     

大非线性相移下光学非线性Z扫描特性的研究

采用高斯分解法(GD)对大非线性相移下的Z扫描特性进行了分析,通过对数值算法的优化,将GD推广到对脉冲入射激光下大非线性相移下的Z扫描理论分析.对不同条件下大非线性相移Z扫描曲线峰谷结构的比较,发现在大非线性相移的情况下,Z扫描曲线的峰和谷随透过光阑或入射光强变化表现出某些新的特性.随着透过光阑孔径的增加,Z扫描曲线峰的变化要明显快于谷的变化,而且在谷明显存在的情况下,峰很快消失.采用皮秒脉冲激光下的纯二硫化碳实验对理论结果加以验证,实验结果和理论分析相一致.我们的分析结果对大非线性相移下Z扫描测量有一定的指导性意义,避免在大非线性相移下对Z扫描结果产生错误的分析.     

Design of square-shaped heat flux cloaks and concentrators using method of coordinate transformation

A square-shaped heat flux cloak and a square-shaped heat flux concentrator have been designed theoretically according to the invariance symmetry of steady state thermal conductive equation. The direction of heat flux in these devices can be modulated as desired. Using the method of coordinate transformation, the inhomogeneous and anisotropic thermal conductivity in the transformation region have been acquired. Two-dimensional finite element simulations were performed to confirm the theoretical results.     

高真空多层绝热被的性能及其量热器的试验研究

量热器的尺寸和结构会影响到被测多层绝热被的性能,高真空多层绝热被作为大型低温容器隔热结构的应用趋势,其真实性能应通过更符合工程实际的量热器来测得。文中比较了两种量热器对多层绝热被测试性能的试验结果,为多层绝热被的理论研究和工程应用提供更合理的依据。     

Z-扫描技术的灵敏度分析

单光束激光Z-扫描技术是利用光束的横向特性来研究材料的光学非线性的,其灵敏度的提高有助于测量微弱折射率变化。从入射光束、调制方式、光束检测等方面论述了Z-扫描技术的灵敏度。顶环光束入射相对于标准Z-扫描技术的高斯光束入射其灵敏度可提高2.5倍,但要求光源的输出能量达到一定值,仅适用于测定较小的非线性相移;在光路中插入调制元件后放大因子可达到780,但调节光路难以调节焦移效应。利用CCD作为探测器的TPDZ-扫描技术能够测量小于λ/15000的非线性相位畸变,CCD能够充分获得光束的横向信息,有望成为另一种测量光学非线性的常用方法。     

利用Z扫描技术确定非局域非线性介质的非线性折射率

采用高斯分解法,分析并讨论了非局域非线性介质的Z扫描特性.基于介质的非线性响应函数为高斯型,给出了用于确定非局域非线性介质的非线性折射率系数的透过率表达式,分析了非局域非线性介质的非局域程度对透过率曲线的影响,得到了计算非局域非线性介质的非线性折射率系数以及非局域程度的方法,讨论了由于非局域性条件所带来的对实验上的一些参数的调整,提出了测量介质非局域程度的可行的实验方法并说明了其他注意事项.同时还数值模拟了在介质的响应函数为双曲正割型情况下通过薄样品的远场Z扫描曲线,并与高斯响应情况下的结果进行了比较.     

Nonlinear optical characterization of phosphate glasses based on ZnO using the Z-scan technique

The nonlinear optical properties of a phosphate vitreous system [(ZnO)_x-(MgO)_30-x-(P₂ O₅)₇₀], where x=8, 10, 15, 18, and 20 mol% synthesized through the melt-quenching technique have been investigated by using the Z-scan technique. In the experiment, a continuous-wave laser with a wavelength of 405 nm was utilized to determine the sign and value of the nonlinear refractive (NLR) index and the absorption coefficient with closed and opened apertures of the Z-scan setup. The NLR index was found to increase with the ZnO concentration in the glass samples by an order of 10^-10 cm²·W^-1. The real and imaginary parts of the third-order nonlinear susceptibility were calculated by referring to the NLR index (n₂) and absorption coefficient (β) of the samples. The value of the third-order nonlinear susceptibility was presented by nonlinear refractive or absorptive behavior of phosphate glasses for proper utilization in nonlinear optical devices. Based on the measurement, the positive sign of the NLR index shows a self-focusing phenomenon. The figures of merit for each sample were calculated to judge the potential of phosphate glasses for application in optical switching.