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| Research on Inverse Design of Neural Network Optical Thin Films Based on Wide Band Transmission Spectrum |
| LI Ting-wei1, DUAN Ran1, 3*, TIAN Jie1, 2, HOU Yong-hui1, 2, WANG Jin-feng1, 2 |
1. Nanjing Institute of Astronomical Optics & Technology, Chinese Academy of Sciences, Nanjing 210042, China
2. University of Chinese Academy of Sciences, Beijing 100049, China
3. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
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Abstract Optical thin films are widely used in fields such as optical systems optoelectronic devices and other fields, with thicknesses typically ranging from nanometers to micrometers. The design and research involve multiple disciplines. The inverse design of optical thin films is based on the target optical performance to infer structural parameters and traditional design methods face problems such as falling into local optima or high computational costs. Machine learning algorithms such as neural networks rely on multi-layer nonlinear transformation structures to quickly approximate the solution space, demonstrating breakthrough potential in inverse design. The paper combines the Transfer Matrix Method (TMM) to calculate transmission spectrum data and establishes a unified neural network framework applicable to the transmission spectra of single-layer films (SiO2) and double-layer films (SiO2/TiO2), achieving end-to-end inverse design of optical thin films. The effectiveness of the model is revealed through rigorous error analysis. Ablation experiments are introduced to evaluate and optimize the neural network structure parameters using stepwise feature compression and dimensionality reduction. After the model was established, the coefficient of determination (R2) and mean absolute error (MAE) were used as core indicators to evaluate the prediction accuracy of the model. The evaluation results showed that the model achieved a high level of R2, while the MAE was controlled within a relatively low range. The model exhibits strong explanatory power for the target variable, with small prediction bias, resulting in an overall satisfactory prediction effect. In order to better align with real-world application scenarios, this research introduces Gaussian random noise to simulate measurement errors in real environments, such as those encountered by detectors. The model maintains high stability even under noisy data conditions, with the decrease in accuracy remaining within an acceptable range, fully demonstrating its strong robustness. To verify the model's ability to handle transmembrane architectures, the neural network model was extended to analyze the transmission spectrum of a double-layer films (SiO2/TiO2). Research indicates that the model can converge normally and achieve high-precision prediction in the context of a double-layer films. The overall prediction error of the model approximately follows a gaussian normal distribution. The model possesses input dimension adaptability, enabling dynamic adjustment of the input layer dimension and its output dimension can be flexibly extended to accommodate multiple layers of film systems.
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Received: 2025-07-31
Accepted: 2026-01-10
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Corresponding Authors:
DUAN Ran
E-mail: rduan@niaot.ac.cn
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