薄膜光学参数表征误差处理技术

针对光度测量数据中难以消除的系统误差对薄膜光学参数表征精度的负面影响,提出一种新型的误差处理技术。选取薄膜光谱系数对折射率和几何厚度的一阶偏导数,对大部分测量入射角满足符号相反或只有其中一个为零的条件的波段,剔除偏导数对全部测量入射角满足符号相同或同时为零条件的奇点波长附近波段,作为反演表征用的光度测量数据采集区域,以最小化光度测量系统误差引起的薄膜光学参数反演表征值相对真实值的偏差大小。通过数值模拟实验,对比研究了该技术对不同偏振光和不同测量入射角范围的适用性及实施技巧,以可复现的数值实验数据和合理的理论解释支持和验证了这种误差处理技术的可靠性。     

椭偏光谱测量中椭偏参数的灵敏度分析

在对椭圆偏振测量的基本原理进行了简单介绍和推导后,讨论了椭圆偏振测量中椭偏参数关于薄膜参数的灵敏度以及入射角对椭偏参数的影响,并进行了具体的仿真分析,得到如下结论：椭偏参数Delta对薄膜光学常数和薄膜厚度变化的灵敏度明显高于椭偏参数Psi。在椭偏数据处理中,椭偏参数Delta的测量精度直接影响薄膜光学常数和薄膜厚度的拟合精度。为了提高椭偏参数Delta的测量精度,可以选择入射角在膺布儒斯特角附近。所得结论对高精度椭偏测量具有指导意义。     

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     

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.     

双层光学薄膜参数的多入射角椭偏分析方法

本文讨论了多入射角椭偏测量中光学参数的误差因子以及最佳测量条件的选取.指出,当薄膜较厚时,多入射角椭偏测量可以精确确定膜系的光学常数和几何厚度,并用二例实测结果加以证实.本文的方法也适用于分析多层光学薄膜.     

椭圆偏振光谱中的主角测量条件分析

对椭圆偏振光谱中的主角测量条件进行了分析。当入射角等于主角 θp 时 ,椭偏参数的相位为 90°,据此给出了当材料的介电函数已知时对θp 进行数值和解析计算的公式和方法 ,并可相应地计算出椭偏参数的幅值 ρp0 。在θp 入射角下测量可获得较高的数据精度。主角条件下椭偏参数 ρp0 及其相位Δp 的实验测量结果与计算值符合得很好。本工作给出的计算公式和方法可在其他光谱实验中获得应用。     

纳米厚度薄膜外差椭偏测量技术的研究

结合激光外差干涉法和透射式椭偏测量原理,研究了一种快速、高精度测量纳米厚度薄膜光学参数的方法。计算并分析了复灵敏度因子随薄膜参数和入射角度的变化规律、椭偏参数的选择及容许测量误差。两个声光调制器产生20kHz的拍频,采用简单的直接比相方法即可获得优于0.1°的相位分辨率,而且测量系统中没有使用任何波片和运动部件,抗干扰能力强且测量过程完全自动化,适用于工业现场在线连续测量。实验数据和理论分析表明,此方法可以达到亚纳米级测量精度。     

薄膜椭偏测量的自适应混合反演算法

基于梯度的线性反演方法计算效率高,基于随机扰动的模拟退火方法寻找最优解能力强针对薄膜椭偏测量的多极值问题,综合两者的优点,提出一种求解薄膜椭偏测量问题的混合反演算法.模型每次扰动采用线性寻优方法搜寻局部最优解,叠代过程中采用均匀设计的模拟退火方法随机搜寻模型,使该算法有跳出局部最优解的能力,可以在较少的叠代次数内搜寻到全局最优解,从而提高求解薄膜椭偏测量非线性反演方法的计算效率.对反演过程控制参数进行讨论,该算法具有自适应的特点.计算表明,该算法可有效求解薄膜椭偏测量的多极值问题.     

教学型椭偏仪测量各向异性单轴晶体光学参数的方法研究

椭偏仪是一种常用的现代光学测量仪器,在物理实验教学中常用于测量各向同性材料的折射率、表面薄膜厚度等光学参数。本文提出一种利用教学型椭偏仪测量各向异性单轴晶体折射率等光学参数的方法。采用多入射角的方法增加系统自由度,建立数值反演模型,获得各向异性单轴晶体光学参数,并实验测量了钒酸钇晶体的折射率等光学参数。使用教学型椭偏仪测量各向异性单轴晶体光学参数,拓展了原有教学仪器的实验范围,有助于激发学生对实验的兴趣。     

模拟退火法在吸收薄膜的椭偏反演算法中的应用

将一种广泛用于求解复杂系统优化问题的技术－－模拟退火法－－用来求解椭偏反演方程。首先假设一个薄膜模型，计算出其相应的椭偏参数（Ψ，Δ）的值，在这个计算值的基础上加入不同标准偏差的高斯噪声；然后将加入噪声后的值（Ψm,Δm)作为模拟的测量数据，采用模拟退火算法进行求解，验证得知这种方法求得的薄膜参数很接近于假设的薄膜模型参数的真值，与其他文献的报道结果一致，而且在扩大搜寻范围时，仍然可以得到准确解，从而证明了该方法的可行性以及有效性。     

A novel determination method of thin film optical parameters with least dependence on photometric measurement systematic errors

We present a novel determination method of thin film optical parameters based on partial derivatives selection, which is with least impact of photometric measurement systematic errors on the characterization accuracy of thin film optical parameters. The spectral measurement data used in our numerical simulations are the single wavelength photometric data of P-polarization light measured at different incident angles. It is shown that, under the same level of systematic errors in the measurement data, the deviations of the fitted optical parameters values from real ones in spectral bands with opposite signs of partial derivatives for most incident angles at which measurement data are collected are much smaller than other spectral regions. The theoretical explanations are discussed. It is advisable to select spectrophotometric data from the recommended spectral bands and to remove the dangerous spectral bands according to derivatives information for optical characterization of thin films with best accuracy.     

Rapid surface roughness measurements of silicone thin films with different thicknesses

A rapid optical measurement system for rapid surface roughness measurement of polycrystalline silicon (poly-Si) thin films was developed in this study. Two kinds of thickness of poly-Si thin films were used to study rapid surface roughness measurements. Six different incident angles were employed for measuring the surface roughness of poly-Si thin films. The results reveal that the incident angle of 20° was found to be a good candidate for measuring the surface roughness of poly-Si thin films. Surface roughness (y) of poly-Si thin films can be determined rapidly from the average value of reflected peak power density (x) measured by the optical system developed using the trend equation of y = ?0.1876x + 1.4067. The maximum measurement error rate of the optical measurement system developed was less than 8.61%. The savings in measurement time of the surface roughness of poly-Si thin films was up to 83%.     

多层光学薄膜周期厚度的双晶X射线掠入射研究

阐述了掠入射Ｘ射线测量薄膜厚度的条件，讨论和分析了掠入射Ｘ射线测量多层薄膜厚度的干涉原理和方法。利用双晶Ｘ射线衍射仪对多层光学薄膜的周期厚度进行了掠入射小角度测量，获得了令人满意的结果，测量值与设计值极好地吻合。     

Optical constants of nanosized films of metal titanium

A new ellipsometric technique for optical measurements of the refraction and extinction indices and thickness of nanosized metal-titanium films in air is proposed and implemented. It is shown that the determination of optical constants of titanium films by measuring the ellipsometric parameters Ψ and Δ for a light beam incident upon the metal/substrate interface through the substrate of fused silica allows one to obtain optical constants of the metal, which correlate well with the results of the most reliable measurements performed in vacuum chambers. In this case, one can additionally determine the thickness and refractive index of the natural oxide film on the titanium surface. The obtained values of the optical constants of titanium, n ₂ = 3.42 ± 0.05 and k ₂ = 3.75 ± 0.05 (λ = 632.8 nm), agree well with the results of the measurements made in vacuum. The proposed technique makes it possible to measure the thicknesses of titanium films within the range 7–30 nm with an accuracy of 0.7 nm. The technique is tested on titanium films deposited onto fused silica substrates obtained by vacuum thermal evaporation. The possible error of determining the thickness due to various additional factors is estimated. The results of ellipsometric measurements of the thickness are compared with the data obtained from parallel measurements of electric resistance of the films.     

The refractive index of homogeneous SiO<Subscript>2</Subscript> thin films

The effect of the through-thickness inhomogeneity of SiO₂ films on their refractive index is studied. The SiO₂ films, deposited by tetraethoxysilane pyrolysis on plane-parallel oriented crystalline quartz substrates and on silicon plates, were etched layer-by-layer in Pliskin’s solution. The refractive index and the geometric thickness of films were calculated from the measured ellipsometric angles after each etching. The determination errors of the refractive indices as functions of the film thickness, which result from the measurement errors of the polarization angles and substrate parameters, are numerically analyzed. For SiO₂ films thicker than 20nm, no effect of inhomogeneity is found. The refractive indices of thinner films were observed to depend on the thickness. The reasons for such dependences are discussed.     

Theoretical estimate of errors in ellipsometric measurement of thin films of water on slightly rough quartz surfaces

The simple Fenstermaker-McCrackin method has been used to estimate possible errors that may be incurred on interpretation of the ellipsometric measurement of the thickness of thin water films on model rough surfaces of quartz. Two different methods are used to interpret the results expected from such a system. Both give very nearly the same result which indicates large errors for systems where the quartz substrate roughness is of the same magnitude as the thickness of the water film.     

Structural, ferroelectric and optical properties of Bi2VO5.5 thin films deposited on platinized silicon {(100) Pt/TiO2/SiO2/Si} substrates

Bismuth vanadate (Bi₂VO_5.5, BVO) thin films have been deposited by a pulsed laser ablation technique on platinized silicon substrates. The surface morphology of the BVO thin films has been studied by atomic force microscopy (AFM). The optical properties of the BVO thin films were investigated using spectroscopic ellipsometric measurements in the 300–820 nm wavelength range. The refractive index (n), extinction coefficient (k) and thickness of the BVO thin films have been obtained by fitting the ellipsometric experimental data in a four-phase model (air/BVO_rough/BVO/Pt). The values of the optical constants n and k that were determined through multilayer analysis at 600 nm were 2.31 and 0.056, respectively. For fitting the ellipsometric data and to interpret the optical constants, the unknown dielectric function of the BVO films was constructed using a Lorentz model. The roughness of the films was modeled in the Brugmann effective medium approximation and the results were compared with the AFM observations. PACS 78.20.-e; 77.84.-s; 77.55.+f     

Thickness dependent optical properties of titanium oxide thin films

TiO₂ thin films of different thickness were prepared by the Electron Beam Evaporation (EBE) method on crystal silicon. A variable angle spectroscopic ellipsometer (VASE) was used to determine the optical constants and thickness of the investigated films in the spectral range from 300 to 800 nm at incident angles of 60°, 70°, and 75°, respectively. The whole spectra have been fitted by Forouhi–Bloomer (FB) model, whose best-fit parameters reveal that both electron lifetime and band gap of TiO₂ thin film have positive correlation to the film thickness. The refractive indices of TiO₂ thin film increase monotonically with an increase in film thickness in the investigated spectral range. The refractive index spectra of TiO₂ thin films have maxima at around 320 nm and the maxima exhibit a marginally blue-shift from 327.9 to 310.0 nm with an increase in film thickness. The evolution of structural disorder in the TiO₂ thin film growth can be used to explain these phenomena.