TY - JOUR
T1 - Transfer learning based on 1D-CNN for critical dimension Predication of HAR grating structures
AU - Lan, Pei Lun
AU - Lo, Yu Lung
AU - Wu, Pei Hsien
N1 - Publisher Copyright:
© 2026
PY - 2026/5/5
Y1 - 2026/5/5
N2 - This study investigates the prediction of four critical dimension (CD) parameters—top space, bottom space, depth, and pitch—of high aspect ratio (HAR) structures using simulated deep ultraviolet (DUV) reflectance spectra based on transfer learning without collecting all necessary data. A large dataset was generated through COMSOL Multiphysics simulations and used to train a one-dimensional convolutional neural network (1D-CNN). Under a transfer-learning scheme in which the network was pre-trained on 5,000 ideal (smooth-sidewall) grating spectra and then fine-tuned with 1,200 scalloped (non-ideal) grating spectra, a deep learning model trained only with θi = 35° spectra achieved significant improvements with R2 values of 0.982 (top space), 0.9556 (bottom space), 0.9877 (depth), and 0.9745 (pitch), respectively. The corresponding mean absolute errors (MAE) were 0.0053, 0.0082, 0.0223, and 0.0268, while the mean absolute percentage errors (MAPE) were 0.89%, 1.36%, 0.74%, and 1.07%. These results validate the effectiveness of the CNN-based approach for rapidly and precisely characterizing the dimensional properties of HAR structures. Importantly, these results confirm the value of transfer learning: fine-tuning significantly improves prediction performance for CD estimation in HAR grating structures while reducing the required number of non-ideal (scalloped) spectra for fine-tuning to 1,200 in this study. Additionally, uncertainties arising from the intended measurement configuration and practical implementation conditions can be systematically identified and characterized using data-driven approaches. Consequently, simulation-generated data can provide a distinctive and robust framework for advanced process monitoring and can be readily integrated with measurement data in future deployment. In summary, the proposed method requires significantly less training data than the three existing comparative approaches. This strategy greatly reduces the burden of data collection and labeling, enhancing modeling efficiency. Furthermore, to assess feasibility under fabrication-induced profile non-idealities, the forward surrogate spectral prediction model is trained on ideal structures and subsequently adapted to simulated Bosch-inspired scalloped sidewalls via transfer learning, thereby reducing the need for extensive non-ideal training data and lowering the data-collection burden.
AB - This study investigates the prediction of four critical dimension (CD) parameters—top space, bottom space, depth, and pitch—of high aspect ratio (HAR) structures using simulated deep ultraviolet (DUV) reflectance spectra based on transfer learning without collecting all necessary data. A large dataset was generated through COMSOL Multiphysics simulations and used to train a one-dimensional convolutional neural network (1D-CNN). Under a transfer-learning scheme in which the network was pre-trained on 5,000 ideal (smooth-sidewall) grating spectra and then fine-tuned with 1,200 scalloped (non-ideal) grating spectra, a deep learning model trained only with θi = 35° spectra achieved significant improvements with R2 values of 0.982 (top space), 0.9556 (bottom space), 0.9877 (depth), and 0.9745 (pitch), respectively. The corresponding mean absolute errors (MAE) were 0.0053, 0.0082, 0.0223, and 0.0268, while the mean absolute percentage errors (MAPE) were 0.89%, 1.36%, 0.74%, and 1.07%. These results validate the effectiveness of the CNN-based approach for rapidly and precisely characterizing the dimensional properties of HAR structures. Importantly, these results confirm the value of transfer learning: fine-tuning significantly improves prediction performance for CD estimation in HAR grating structures while reducing the required number of non-ideal (scalloped) spectra for fine-tuning to 1,200 in this study. Additionally, uncertainties arising from the intended measurement configuration and practical implementation conditions can be systematically identified and characterized using data-driven approaches. Consequently, simulation-generated data can provide a distinctive and robust framework for advanced process monitoring and can be readily integrated with measurement data in future deployment. In summary, the proposed method requires significantly less training data than the three existing comparative approaches. This strategy greatly reduces the burden of data collection and labeling, enhancing modeling efficiency. Furthermore, to assess feasibility under fabrication-induced profile non-idealities, the forward surrogate spectral prediction model is trained on ideal structures and subsequently adapted to simulated Bosch-inspired scalloped sidewalls via transfer learning, thereby reducing the need for extensive non-ideal training data and lowering the data-collection burden.
UR - https://www.scopus.com/pages/publications/105032094710
UR - https://www.scopus.com/pages/publications/105032094710#tab=citedBy
U2 - 10.1016/j.measurement.2026.120988
DO - 10.1016/j.measurement.2026.120988
M3 - Article
AN - SCOPUS:105032094710
SN - 0263-2241
VL - 272
JO - Measurement: Journal of the International Measurement Confederation
JF - Measurement: Journal of the International Measurement Confederation
M1 - 120988
ER -