类金刚石薄膜光学常数拟合模型的合理性研究

由于椭偏光谱测量结果不能直接反映所测量样品材料的结构和光学性质，所以需要利用最小二乘法来拟合分析椭偏光谱数据得到光学常数。而椭偏光谱分析依赖于构建的模型，且可能存在多模型解，因此考虑模型的合理性就显得十分必要。本文采用椭偏法测量了类金刚石薄膜(DLC)的光学常数，分析并拟合了脉冲真空电弧离子技术镀制的类金刚石薄膜的椭偏光谱．获得了光学常数，并对拟合模型的合理性和测量结果的可靠性进行了分析。     

椭圆偏振法测定在线Low-E玻璃的可见-近红外光学常数与膜厚

从在线Low-E玻璃光学机理出发,用椭圆偏振光谱仪对在线Low-E玻璃功能层和过渡层的可见-近红外波段的光学常数进行研究.测量了样品在三个不同入射角的椭偏参数,分别用Lorentz双振子模型和Cauchy模型来描述Low-E玻璃功能层和过渡层的光学色散特性.通过拟合椭偏参数获得在线Low-E玻璃的光学常数及每层膜厚度,并用扫描电镜对样品的膜厚进行表征.结果表明,Lorentz双振子模型和Cauchy模型能很好地解释在线Low-E玻璃的光学特性;同时,椭圆偏振法也为多层膜系统提供了一种测定光学常数和膜厚的可靠方法.     

射频磁控溅射制备氮化锌薄膜的椭圆偏振光谱研究

在不同的衬底温度下,使用反应射频磁控溅射法,在玻璃衬底上制备了氮化锌薄膜样品.用X射线衍射仪、原子力显微镜和椭偏仪对薄膜的晶体结构、表面形貌、光学性质进行了表征分析.薄膜的晶粒尺寸会随着衬底温度的升高先增大后减小,在200?C时薄膜的结晶性最好.用椭偏仪测试样品,建立物理模型计算出氮化锌薄膜在430—850 nm范围内的折射率和消光系数等光学参数.利用Tauc公式计算出氮化锌薄膜的光学带隙在1.73—1.79 eV之间.     

一种获得半导体薄膜光学参数的方法

实现薄膜光学参数的简便测量对于薄膜的制备和应用具有重要意义。引入适用于半导体材料的Forouhi_Bloomer模型,用其表征薄膜折射率与色散的关系。考虑到粗糙度的影响,假设薄膜厚度服从正态分布,给出了模拟退火法与迭代法相结合、由可见光光谱测定薄膜光学参数的方法。作为尝试,以硅系薄膜为例进行了计算。结果表明,获得的厚度与用椭偏仪测量的结果较为吻合。该方法适用于研究和测量半导体薄膜的光学性能和膜厚,具有很高的实用价值。     

金刚石压砧内单晶硅高压折射率的椭偏测量

针对高压对顶砧入射角度受限、样品微小的特殊测量条件，设计原位椭偏测量系统，实现450～700 nm光谱范围的小角度椭偏测量。建立光学模型，获得2～9 GPa下单晶硅的折射率，发现单晶硅的折射率随压力增加而增大。与高压拉曼光谱的对比说明椭偏法原位监测材料光学性质变化的可能性。本文研究可为高压下材料的光学常数及其原位测量提供有益补充。     

椭偏与光度法联用精确测定吸收薄膜的光学常数与厚度

介绍了一种同时利用椭偏仪和分光光度计精确测量薄膜光学常数的方法, 并详细比较了该方法与使用单一椭偏仪拟合结果的可靠性.采用可变入射角光谱型椭偏仪（VASE）表征了250—1700 nm波段辉光放电法沉积的类金刚石薄膜,研究发现当仅用椭偏参数拟合时,由于厚度与折射率、消光系数的强烈相关性,无法得到吸收薄膜光学常数的准确解.如果加入分光光度计测得的透射率同时拟合,得到的结果具有很好的惟一性.该方法无需设定色散模型即可快速拟合出理想的结果,特别适合于确定透明衬底上较薄吸收膜的光学常数. 关键词： 光学常数 光谱型椭偏仪 吸收薄膜 透射率     

基片温度对PLD制备ZnO薄膜光学常数的影响

光谱椭偏仪被用来研究用脉冲激光沉积方法在Si(100)基片上,温度分别为400,500,600,700 ℃制备的ZnO薄膜的特性。利用三层Cauchy散射模型拟合椭偏参数,计算了每个温度下制备的ZnO薄膜在400~800 nm波长范围内的折射率(n)和消光系数(k)。发现基片温度对光学常数有很大的影响。通过分析XRD表征的晶体结构和 AFM表征的薄膜表面形貌,发现折射率的变化归因于薄膜堆积密度的变化。为了获得具有较好的光学和薄膜质量的ZnO薄膜,相比与其他沉积温度600 ℃或许是最佳的沉积温度。     

光谱型椭偏仪精确表征非晶吸收薄膜的光学常数

采用光谱型椭偏仪(SE)和分光光度计分别测量了超薄类金刚石(DLC)薄膜和非晶硅(a-Si)薄膜的椭偏参数(y和D)和透射率T。由于薄膜的厚度与折射率、消光系数之间存在强烈的相关性,仅采用椭偏参数拟合,难以准确得到薄膜的光学常数。如果加入透射率同时进行拟合(以下简称SE+T法),可简单、快速得到薄膜的厚度和光学常数。但随机噪声、样品表面的轻微污染或衬底上任何小的吸收都可能影响SE+T法拟合的光学常数的准确性。因此将SE+T法和光学常数参数化法联用,实现DLC、a-Si薄膜光学常数的参数化,以消除测量数据中的噪声对光学常数的影响。结果显示,联用时的拟合结果具有更好的唯一性,而且拟合得到的光学常数变得平滑、连续且符合Kramers-Kronig(K-K)关系。这种方法特别适合于精确表征厚度仅为几十纳米的非晶吸收薄膜的光学常数。     

光谱型椭偏仪精确表征非晶吸收薄膜的光学常数EI北大核心CSCD

采用光谱型椭偏仪(SE)和分光光度计分别测量了超薄类金刚石(DLC)薄膜和非晶硅(a-Si)薄膜的椭偏参数(y和D)和透射率T。由于薄膜的厚度与折射率、消光系数之间存在强烈的相关性,仅采用椭偏参数拟合,难以准确得到薄膜的光学常数。如果加入透射率同时进行拟合(以下简称SE+T法),可简单、快速得到薄膜的厚度和光学常数。但随机噪声、样品表面的轻微污染或衬底上任何小的吸收都可能影响SE+T法拟合的光学常数的准确性。因此将SE+T法和光学常数参数化法联用,实现DLC、a-Si薄膜光学常数的参数化,以消除测量数据中的噪声对光学常数的影响。结果显示,联用时的拟合结果具有更好的唯一性,而且拟合得到的光学常数变得平滑、连续且符合Kramers-Kronig(K-K)关系。这种方法特别适合于精确表征厚度仅为几十纳米的非晶吸收薄膜的光学常数。     

椭偏法表征四面体非晶碳薄膜的化学键结构

采用自主研制的双弯曲磁过滤阴极真空电弧(FCVA)技术,在不同衬底负偏压下制备了四面体非晶碳(ta-C)薄膜。通过分光光度计和椭偏(SE)联用技术精确测量了薄膜厚度,重点采用椭偏法对不同偏压下制备的ta-C薄膜sp3 C键和sp2 C键结构进行了拟合表征,并与X射线光电子能谱(XPS)和拉曼光谱的实验结果相对比,分析了非晶碳结构的椭偏拟合新方法可靠性。结果表明,在-100V偏压时薄膜厚度最小,为33.9nm;随着偏压的增加,薄膜中的sp2 C含量增加,sp3 C含量减小,光学带隙下降。对比结果发现,椭偏法作为一种无损、简易、快速的表征方法,可用于ta-C薄膜中sp2 C键和sp3 C键含量的准确测定,且在采用玻璃碳代表纯sp2 C的光学常数及拟合波长选取250～1700nm时的椭偏拟合条件下,拟合数值最佳。     

Optical models for the ellipsometric characterization of carbon nitride layers prepared by inverse pulsed laser deposition

Amorphous carbon nitride (CN_x) films were prepared by KrF excimer laser ablation of a graphite target in a nitrogen atmosphere in the inverse PLD geometry. From the ellipsometric point of view, the challenging properties of these films were their exponentially decaying thickness as a function of distance from the ablation source, accompanied by a laterally varying chemical composition and structure. Optical models were developed to accurately describe the dependence of film properties on distance from the ablation, layer thickness, and nitrogen pressure. Multi-layer models were used to characterize the surface roughness as well as lateral inhomogeneities. Multiple angles of incidence and multiple wavelengths were applied in the ranges of 66-72° and 250-1000 nm, respectively. A microspot capability of the spectroscopic ellipsometer (with a spot size of about 100 μm) was exploited to decrease the error caused by the lateral inhomogeneity within the measurement spot. Material properties were derived using the empirical Cauchy dispersion model as well as the Tauc-Lorentz parametric dielectric function model. These models allowed the quantitative determination of the band gap and the oscillator parameters in addition to the layer thicknesses and dielectric functions.     

射频磁控反应溅射制备的Ag2O薄膜的椭圆偏振光谱研究

Ag₂O薄膜在新型超高存储密度光盘和磁光盘方面具有潜在的应用前景.利用射频磁控反应溅射技术, 通过调节衬底温度在沉积气压为0.2 Pa、氧氩比为2:3的条件下制备了一系列Ag₂O 薄膜.利用通用振子模型(包括1个Tauc-Lorentz振子和2个Lorentz 振子)拟合了薄膜的椭圆偏振光谱.在1.5-3.5 eV能量区间,薄膜的折射率在2.2-2.7之间, 消光系数在0.3-0.9之间. 在3.5-4.5 eV能量区间,薄膜呈现了明显的反常色散,揭示Ag₂O薄膜的等离子体振荡频率在 3.5-4.5 eV之间. 随着衬底温度的升高,薄膜的光学吸收边总体上发生了红移, 该红移归结于薄膜晶格微观应变随衬底温度的升高而增大. Ag₂O薄膜的光学常数表现出典型的介质材料特性.     

Nanostructure characterization of high k materials by spectroscopic ellipsometry

In this work, the optical and structural properties of high k materials such as tantalum oxide and titanium oxide were studied by spectroscopic ellipsometry, where a Tauc-Lorentz dispersion model based in one (amorphous films) or two oscillators (microcrystalline films) was used. The samples were deposited at room temperature by radio frequency magnetron sputtering and then annealed at temperatures from 100 to 500 °C. Concerning the tantalum oxide films, the increase of the annealing temperature, up to 500 °C does not change the amorphous nature of the films, increasing, however, their density. The same does not happen with the titanium oxide films that are microcrystalline, even when deposited at room temperature. Data concerning the use of a four-layer model based on one and two Tauc-Lorentz dispersions is also discussed, emphasizing its use for the detection of an amorphous incubation layer, normally present on microcrystalline films grown by sputtering.     

Optical and structural characterization of ultrananocrystalline diamond/hydrogenated amorphous carbon composite films deposited via coaxial arc plasma

Ultrananocrystalline diamond/hydrogenated amorphous carbon composite films were deposited in the ambient of hydrogen by coaxial arc plasma deposition. The film compositions and chemical bonding structures were investigated by X-ray diffraction, X-ray photoemission and hydrogen forward scattering spectroscopies. The sp³/(sp²+sp³) ratio and hydrogen content in the film were estimated to be 64% and 35?at.%, respectively. The optical parameters and the optical dispersion profile were determined by using a variable angle spectroscopic ellipsometer at 55°, 65° and 75° angle of incidence in the photon energy range of 0.9–5?eV. Combinations of multiple Gaussian, and Tauc-Lorentz or Cody-Lorentz dispersion functions are used to reproduce the experimental data. Results of ellipsometry showed a refractive index of approximately 2.05 (at 2eV) and optical band gap of 1.63?eV. The imaginary part of dielectric function exhibited a peak at 3.8?eV, which has assigned to π-π* electron transitions. Furthermore, Electron spin resonance measurements implied the existence of dangling bonds, which might have a partial contribution to the optical absorption properties of the deposited films. A correlation between optical parameters and structural profile of the deposited films is discussed.     

Optical and thermoelectric characterizations of electroplated n-Bi2(Te0.9Se0.1)3

Bismuth selenotelluride (Bi₂(Te_0.9Se_0.1)₃) films were electrodeposited at constant current density from acidic aqueous solutions with Arabic gum in order to produce thin films for miniaturized thermoelectric devices. X-ray fluorescence spectroscopy determined film compositions. X-ray diffraction pattern shows that the films as deposited are polycrystalline, isostructural to Bi₂Te₃ and covered by crystallites. Mueller-matrix analysis reveals that the electroplated layers are optically like an isotropic medium. Their pseudo-dielectric functions were determined using mid-infrared spectroscopic ellipsometry. Tauc-Lorentz combined with Drude dispersion relations were successfully used. The energy band gap E_g was found to be about 0.15 eV. Moreover, the fundamental absorption edge was described by an indirect optical band-to-band transition. From Seebeck coefficient measurement, films exhibit n-type charge carrier and the value of thermoelectric power is about −40 μV/K.     

One-loop omega-potential of quantum fields with ellipsoid constant-energy surface dispersion law

Rapidly convergent expansions of a one-loop contribution to the partition function of quantum fields with ellipsoid constant-energy surface dispersion law are derived. The omega-potential is naturally decomposed into three parts: the quasiclassical contribution, the contribution from the branch cut of the dispersion law, and the oscillating part. The low- and high-temperature expansions of the quasiclassical part are obtained. An explicit expression and a relation of the contribution from the cut with the Casimir term and vacuum energy are established. The oscillating part is represented in the form of the Chowla–Selberg expansion of the Epstein zeta function. Various resummations of this expansion are considered. The general procedure developed is then applied to two models: massless particles in a box both at zero and nonzero chemical potential, and electrons in a thin metal film. Rapidly convergent expansions of the partition function and average particle number are obtained for these models. In particular, the oscillations of the chemical potential of conduction electrons in graphene and a thin metal film due to a variation of size of the crystal are described.     

椭圆偏振光谱表征单晶硅衬底上生长的非晶硅和外延硅薄膜

本文采用射频等离子体增强化学气相沉积(rf-PECVD)技术在单晶硅衬底上沉积了两个系列的硅薄膜. 通过对样品进行固定角度椭圆偏振测试, 结果表明第一个系列硅薄膜为非晶硅, 形成了突变的a-Si:H/c-Si异质结构, 此结构在HIT电池中有利于形成好的界面特性, 对于非晶硅薄膜采用通常的Tauc-Lorentz摇摆模型(Genosc)拟合结果很好; 第二个系列硅薄膜为外延硅, 对于外延硅薄膜, 随着膜厚增加晶化率降低, 当外延硅薄膜厚度为46 nm时开始非晶硅生长. 对于外延硅通常采用EMA模型(即将硅薄膜体层看成由非晶硅和c-Si构成的混合层)拟合结果较好, 当硅薄膜中出现非晶硅生长时, 将体层分成混合层和非晶硅两层, 采用三层模型拟合结果很好. 本文证实了椭偏光谱分析采用不同的模型可对单晶硅衬底上不同结构的硅薄膜进行有效表征.     

VO_2薄膜Vis-NIR及NIR-MIR椭圆偏振光谱分析

采用射频磁控溅射在石英玻璃基底上反应溅射制备单斜相(M相)VO_2薄膜.利用V-VASE和IR-VASE椭圆偏振仪及变温附件分别在0.5—3.5 eV(350—2500 nm)和0.083—0.87 eV(1400—15000 nm)入射光能量范围内对相变前后的VO_2薄膜进行光谱测试,运用逐点拟合的方式,并通过薄膜的吸收峰的特征,在0.5—3.5 eV范围内添加3个Lorentz谐振子色散模型和0.083—0.87 eV范围内添加4个Gaussion振子模型对低温态半导体态的薄膜椭偏参数进行拟合,再对高温金属态的薄膜添加7个Lorentz谐振子色散模型对进行椭偏参数的拟合,得到了较为理想的拟合结果.结果发现:半导体态的VO_2薄膜的折射率在近红外-中红外基本保持在最大值3.27不变,且消光系数k在此波段接近于零,这是由于半导体态薄膜在可见光-近红外光范围内的吸收主要是自由载流子吸收,而半导体态薄膜的d//轨道内的电子态密度较小.高温金属态的VO_2薄膜的折射率n在近红外-中红外波段具有明显的增大趋势,且在入射光能量为0.45 eV时大于半导体态的折射率;消光系数k在近红外波段迅速增大,原因是在0.5—1.62 eV范围内,能带内的自由载流子浓度增加及电子在V_(3d)能带内发生带内的跃迁吸收,使k值迅速增加;当能量小于0.5 eV时k值变化平缓,是由于薄膜内自由载流子浓度和电子跃迁率趋于稳定所致.     

Dependence of the ferromagnetic resonance modes on the coupling strength in exchange-coupled trilayer structures

The dependence of the dispersion relation and the magnetization on the exchange coupling strength was calculated for a system consisting of two ferromagnetic layers exchange-coupled through a nonmagnetic spacer layer. The magnetic layers are characterized by both uniaxial and cubic magnetocrystalline anisotropies. A minimization procedure was developed which allows the resonance modes to be obtained for any magnetic field orientation and strength, as well as for any exchange coupling strength. If the antiparallel coupled film is unsaturated at resonance, the dispersion relation for both acoustic and optic modes could be rather complex, especially when the field is applied in the plane of the film.     

溅射功率对金属锰膜光学性质的影响

采用磁控溅射方法在Si（111）基片上制备金属锰膜,用椭圆偏振光谱在入射光子能量为2.0–4.0 eV范围内研究了溅射功率对薄膜光学性质的影响. 利用德鲁得-洛伦兹色散模型对椭偏数据进行拟合,结果表明在测量范围内随溅射功率增加薄膜的折射率减小;消光系数随入射光子能量增加先增加后减小,在3.0 eV附近处出现极大值,并且极大值所处的位置随溅射功率增加而向低能方向移动,这主要与溅射沉积的锰薄膜的质量有关,且随溅射功率的增加薄膜的消光系数逐渐趋近于金属锰的数值. 研究结果还表明溅射功率的增加减少了薄膜中的空隙,有利于薄膜的生长. 关键词： 磁控溅射 金属锰膜 椭圆偏振光谱 德鲁得-洛伦兹色散模型