• High Power Laser Science and Engineering
  • Vol. 12, Issue 2, 02000e21 (2024)
Min Gao1、2, Chaoyi Yin2, Jianda Shao2、3、4, and Meiping Zhu1、2、3、4、*
Author Affiliations
  • 1School of Microelectronics, Shanghai University, Shanghai, China
  • 2Laboratory of Thin Film Optics, Key Laboratory of Materials for High Power Laser, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai, China
  • 3Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing, China
  • 4Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences, Hangzhou, China
  • show less
    DOI: 10.1017/hpl.2024.6 Cite this Article Set citation alerts
    Min Gao, Chaoyi Yin, Jianda Shao, Meiping Zhu. Neural network modeling and prediction of HfO2 thin film properties tuned by thermal annealing[J]. High Power Laser Science and Engineering, 2024, 12(2): 02000e21 Copy Citation Text show less

    Abstract

    Plasma-enhanced atomic layer deposition (PEALD) is gaining interest in thin films for laser applications, and post-annealing treatments are often used to improve thin film properties. However, research to improve thin film properties is often based on an expensive and time-consuming trial-and-error process. In this study, PEALD-HfO2 thin film samples were deposited and treated under different annealing atmospheres and temperatures. The samples were characterized in terms of their refractive indices, layer thicknesses and O/Hf ratios. The collected data were split into training and validation sets and fed to multiple back-propagation neural networks with different hidden layers to determine the best way to construct the process–performance relationship. The results showed that the three-hidden-layer back-propagation neural network (THL-BPNN) achieved stable and accurate fitting. For the refractive index, layer thickness and O/Hf ratio, the THL-BPNN model achieved accuracy values of 0.99, 0.94 and 0.94, respectively, on the training set and 0.99, 0.91 and 0.90, respectively, on the validation set. The THL-BPNN model was further used to predict the laser-induced damage threshold of PEALD-HfO2 thin films and the properties of the PEALD-SiO2 thin films, both showing high accuracy. This study not only provides quantitative guidance for the improvement of thin film properties but also proposes a general model that can be applied to predict the properties of different types of laser thin films, saving experimental costs for process optimization.
    $$\begin{align}l=\sqrt{u+v}+a,\end{align}$$ ((1))

    View in Article

    $$\begin{align}z={\boldsymbol{w}}^{\mathrm{T}}\boldsymbol{x}+b,\end{align}$$ ((2))

    View in Article

    $$\begin{align}{h}_{11}=f(z).\end{align}$$ ((3))

    View in Article

    $$\begin{align}{X}_\mathrm{norm}=\frac{\left({Y}_\mathrm{max}-{Y}_\mathrm{min}\right)\left(X-{X}_\mathrm{min}\right)}{X_\mathrm{max}-{X}_\mathrm{min}}+{Y}_\mathrm{min},\end{align}$$ ((4))

    View in Article

    $$\begin{align}{R}^2&=1-{\frac{\sum \left({Y}_i-{T}_i\right)}{\sum {\left({Y}_i-\overline{Y}\right)}^2}}^2,\end{align}$$ ((5))

    View in Article

    $$\begin{align}\mathrm{AA}&=\frac{1}{n}\sum \limits_{i=1}^n\left(1-\frac{\left|{Y}_i-{T}_i\right|}{\left|{Y}_i\right|}\right),\end{align}$$ ((6))

    View in Article

    $$\begin{align}\mathrm{RMSE}&={\left[\frac{1}{n}\sum \limits_{i=1}^n{\left({Y}_i-{T}_i\right)}^2\right]}^{1/2},\end{align}$$ ((7))

    View in Article

    Min Gao, Chaoyi Yin, Jianda Shao, Meiping Zhu. Neural network modeling and prediction of HfO2 thin film properties tuned by thermal annealing[J]. High Power Laser Science and Engineering, 2024, 12(2): 02000e21
    Download Citation