西安邮电大学 电子工程学院, 西安市 710121
刘驰(2002—),男,学生,硕士,主要研究方向为光电传感与测量。Email: liuchi0257@163.com
刘继红(1978—),男,教授,博士,主要研究方向为光电传感与测量。Email: ong1705@xupt.edu.cn
收稿:2026-01-18,
修回:2026-04-17,
录用:2026-05-07,
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刘驰, 刘继红, 卜子川, 等. 面向无吸收薄膜的椭偏光谱快速解调:柯西模型驱动神经网络方法[J/OL]. 光子学报, 2026,1-13.
LIU Chi, LIU Jihong, BU Zichuan, et al. Rapid Demodulation of Ellipsometric Spectra of Non-Absorbing Thin Films: a Cauchy Model-Powered Neural Network Method[J/OL]. Acta Photonica Sinica, 2026, 1-13.
刘驰, 刘继红, 卜子川, 等. 面向无吸收薄膜的椭偏光谱快速解调:柯西模型驱动神经网络方法[J/OL]. 光子学报, 2026,1-13. DOI: 10.3788/gzxb20265507.0730002. CSTR: 32255.14.gzxb20265507.0730002.
LIU Chi, LIU Jihong, BU Zichuan, et al. Rapid Demodulation of Ellipsometric Spectra of Non-Absorbing Thin Films: a Cauchy Model-Powered Neural Network Method[J/OL]. Acta Photonica Sinica, 2026, 1-13. DOI: 10.3788/gzxb20265507.0730002. CSTR: 32255.14.gzxb20265507.0730002.
光谱椭偏技术因其高精度、非破坏性等优势,已成为测量纳米薄膜参数的重要手段。传统的椭偏光谱数据解调方法依赖于复杂的物理模型进行非线性迭代拟合,存在计算效率低、过程烦琐的局限,难以满足现代工业的快速检测需求。基于神经网络的数据处理方法具有高效的数据处理能力,为解决此问题提供了新的可能,但用于神经网络训练的数据集获取困难,这制约了该方法在光谱椭偏数据解调中的应用。针对这一问题,本文面向单层无吸收介质薄膜的椭偏光谱数据解调,提出了一种柯西色散模型驱动的神经网络方法。该方法首先基于柯西模型生成折射率数据集,然后根据偏振光薄膜干涉理论生成椭偏光谱数据集,用于神经网络的训练。解调光谱数据时,神经网络从椭偏光谱得到薄膜厚度和柯西色散模型参数后,再根据柯西模型重构折射率。在多种厚度的SiO
2
、MgF
2
、Si
3
N
4
和TiO
2
材料的实验结果表明:通过该方法训练出的神经网络对薄膜的平均厚度解调误差小于1.5 nm,平均折射率解调误差小于0.02,平均解调时间约为6 ms,其误差与效率均优于LM算法。该方法为获取椭偏光谱数据集和使用神经网络快速解调椭偏光谱提供了一种可行的途径。
Valued for its nondestructive, non-contact operation and high precision, spectroscopic ellipsometry has established itself as the standard characterization method for measuring the thickness and optical constants of nanoscale thin films and is routinely employed in the quality inspection of coatings. The conventional spectroscopic ellipsometry demodulation approach is model-based. It involves constructing a pre-defined optical model for the thin film, complete with a dielectric function model, and then iteratively refining the model parameters via nonlinear regression analysis to extract the properties of the film. However, the complexity of this modeling and the iterative solving process result in low computational efficiency, making it difficult to meet the demands for rapid inspection of coated samples. Neural networks can establish a direct mapping from ellipsometri
c spectra to thin-film properties, thereby enabling rapid data demodulation.However, the application of neural networks in spectroscopic ellipsometry data demodulation is constrained by the challenges of obtaining sufficient training data and ensuring its high quality.To address those challenges, this paper proposes a neural network-based demodulation method for spectroscopic ellipsometry data of non-absorbing thin films, incorporating the Cauchy dispersion model as a physical constraint. In this method, a dataset of ellipsometric spectra was first generated based on the Cauchy dispersion model and the theory of polarized light interference in thin films. Subsequently, a neural network was trained using this dataset, with the film thickness and the parameters of the Cauchy model designated as its output targets. The dataset generation procedure was conducted as follows. First, the value ranges for the Cauchy model parameters (
A
,
B
, and
C
) were established based on the material's attainable refractive index range and its spectral variation. Within these ranges, parameters A and B were sampled at equal intervals, and C was randomly sampled. All possible combinations of (
A
,
B
and
C
) were then traversed to generate the corresponding refractive index data via the Cauchy dispersion model. Subsequently, the film thickness
d
was sampled at equal intervals within its predefined range. Each sampled thickness value was paired with every generated refractive index dataset. Following this, the ellipsometric spectra for each (
d
,
n
) pair were simulated according to the principles of polarized light interference in thin films. Finally, experimental noise was added to these ideal spectra to produce the final ellipsometric spectra dataset for network training. In this work, the ResNet-18 architecture was selected as the backbone network. It was specifically configured to be one-di
mensional to accommodate the sequential nature of spectroscopic ellipsometry data. The two measured ellipsometric parameters are used as the input of network. The outputs of the network consist of the film thickness d and the three Cauchy model parameters (
A
,
B
and
C
). The wavelength-dependent refractive index is then reconstructed from these parameters using the Cauchy dispersion model. This design, as opposed to having the network directly output the refractive index at multiple discrete wavelengths, effectively reduces the complexity of model, and improves its learning efficiency.Experimental validation on four distinct materials (MgF
2
, SiO
2
, Si
3
N
4
, and TiO
2
) demonstrates that the proposed network achieves an average thickness demodulation error of less than 1.5 nm, an average refractive index error below 0.02, and an average computation time of approximately 6 ms. It significantly outperforms the conventional Levenberg-Marquardt (LM) algorithm in both accuracy and efficiency, demonstrating substantial advantages in both performance and stability for rapid characterization. The proposed demodulation framework also demonstrates the advantage of enabling targeted data augmentation. Specifically, tailored data augmentation strategies were implemented for two distinct material categories: low-dispersion, low-refractive-index materials and high-dispersion, high-refractive-index materials. This process yielded two specialized network models. Compared to the original general-purpose model, these specialized models demonstrate superior demodulation performance on their respective target material types. Finally, an analysis was performed to investigate the impact of material absorption on the demodulation accuracy and to determine the corresponding tolerance threshold. The results indicate that the absorption characteristic of material generally degrades the demodulation precision. Nevertheless, the proposed method
maintains satisfactory accuracy when the extinction coefficient k is below 0.05, establishing a practical applicability boundary for absorption-free or weakly absorbing thin films.In conclusion, the proposed neural network framework addresses the two challenges of training data acquisition and fast demodulation in spectroscopic ellipsometry, offering a novel and efficient pathway for thin-film characterization.
LI Guobin , HU Kun , ZHANG Taiwei , et al . Study on the preparation and spectroscopic ellipsometry of MoTe2 quantum dot films [J]. Journal of Infrared and Millimeter waves , 2025 , 44 ( 02 ): 153 - 160 .
李国彬 , 胡坤 , 张泰玮 , 等 . MoTe2量子点薄膜的制备及椭圆偏振光谱研究 [J]. 红外与毫米波学报 , 2025 , 44 ( 02 ): 153 - 160 .
HU Yi , LI Zijian , LIU Lei . Temperature-induced work function changes in NiMn2O4 thin films by spectroscopic ellipsometry [J]. Journal of Materials Science and Engineering , 2025 , 49 ( 01 ): 486 - 492 .
胡轶 , 李子建 , 刘磊 . 基于椭圆偏振光谱线法研究温度对NiMn2O4薄膜光电性能的影响 [J]. 材料科学与工程学报 , 2025 , 43 ( 03 ): 486 - 492 .
SUN Wei , JIN Shangzhong , ZHANG Yin , et al . Design of film thickness and curvature measurement system based on ellipsometry spectrum and optical lever method [J]. Optical Communication Technology , 2025 , 49 ( 01 ): 94 - 100 .
孙伟 , 金尚忠 , 张殷 , 等 . 基于椭偏光谱和光杠杆法的薄膜厚度及曲率测量系统设计 [J]. 光通信技术 , 2025 , 49 ( 01 ): 94 - 100 .
SEBAK M A , GHALAB S , EL-TAHER A , et al . Studying the structural, optical spectroscopic ellipsometry and electrical properties of variable-CdS thickness/CdTe for solar cell applications [J]. Chalcogenide Letters , 2022 , 19 ( 6 ): 389 - 408 .
ORJI N G , BADAROGLU M , BARNES B M , et al . Metrology for the next generation of semiconductor devices [J]. Nature Electronics , 2018 , 1 ( 10 ): 532 - 547 .
AZZAM R M A , BASHARA N M , BALLARD S S . Ellipsometry and polarized light [M]. Amsterdam : North-Holland Publishing Company , 1978 .
TOMPKINS H , IRENE E A . Handbook of ellipsometry [M]. Norwich : William Andrew , 2005 .
FUJIWARA H . Spectroscopic ellipsometry: principles and applications [M]. Chichester : John Wiley & Sons , 2007 .
ZAGHLOUL A R M , AZZAM R M A , BASHARA N M . Inversion of the nonlinear equations of reflection ellipsometry on film-substrate systems [J]. Surface Science , 1976 , 56 : 87 - 96 .
JELLISON JR G E . Spectroscopic ellipsometry data analysis: measured versus calculated quantities [J]. Thin solid films , 1998 , 313 : 33 - 39 .
MOORE E A , SMART L E . Optical properties of solids [M]. Oxford : Oxford university press , 2020 .
JELLISON JR G E , MODINE F A . Parameterization of the optical functions of amorphous materials in the interband region [J]. Applied Physics Letters , 1996 , 69 ( 3 ): 371 - 373 .
LIU J , ZHANG D , YU D , et al . Machine learning powered ellipsometry [J]. Light: Science & Applications , 2021 , 10 ( 1 ): 55 .
ZHU P , ZHANG D , NIU X , et al . A lightweight neural network for spectroscopic ellipsometry analysis [J]. Advanced Optical Materials , 2024 , 12 ( 4 ): 2301381 .
URBAN F K , BARTON D . Numerical ellipsometry: Artificial intelligence for rapid analysis of indium tin oxide films on silicon [J]. Journal of Vacuum Science & Technology A , 2024 , 42 ( 4 ): 043401 .
URBAN F K , BARTON D . Numerical ellipsometry: Artificial intelligence for real-time, in situ absorbing film process control [J]. Journal of Vacuum Science & Technology A , 2024 , 42 ( 2 ): 023404 .
HE K , ZHANG X , REN S , et al . Deep residual learning for image recognition [C]// Proceedings of the IEEE conference on computer vision and pattern recognition . 2016 : 770 - 778 .
FUJIWARA H , COLLINS R W . Spectroscopic Ellipsometry for Photovoltaics: Volume 2: Applications and Optical Data of Solar Cell Materials [M]. Springer , 2019 .
ADACHI S . Optical properties of crystalline and amorphous semiconductors: Materials and fundamental principles [M]. Springer Science & Business Media , 2012 .
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