LAPSE:2026.0526v1
Published Article

LAPSE:2026.0526v1
Enhancing plasma etching efficiency via physics-based modeling and machine learning
June 12, 2026
Abstract
Modern semiconductor manufacturing requires extreme precision as yield margins narrow in the "More-than-Moore" era. While physics-based models (PBMs) provide high-fidelity insights into plasma etching, their computational intensity-often requiring hours per simulation-renders them impractical for direct iterative optimization. This work demonstrates a hybrid framework that utilizes data-driven surrogate models to enable rapid, cost-effective process optimization. A 2D axisymmetric fluid model of an inductively coupled O2 plasma (ICP) reactor was developed to generate a training dataset for two neural architectures: a Multi-Layer Perceptron (MLP) and a Kolmogorov-Arnold Network (KAN). These surrogates predict radial etching rates across a wide operating window of power, pressure, gas flow, and bias voltage. By replacing the expensive PBM with these high-speed surrogates, derivative-free optimization algorithms (Nelder-Mead and Powell) successfully identified a profit-maximizing operating point (2000 W, 10 mTorr) orders of magnitude faster than direct physical simulation. The results confirm that surrogate-based optimization effectively captures dominant physical trends, such as ion-flux limited regimes, while providing a "Confidence Gap" through model disagreement to flag epistemic uncertainty. This methodology offers a scalable blueprint for reducing the computational burden of process design, transitioning from expensive trial-and-error to efficient, physics-validated autonomous discovery.
Modern semiconductor manufacturing requires extreme precision as yield margins narrow in the "More-than-Moore" era. While physics-based models (PBMs) provide high-fidelity insights into plasma etching, their computational intensity-often requiring hours per simulation-renders them impractical for direct iterative optimization. This work demonstrates a hybrid framework that utilizes data-driven surrogate models to enable rapid, cost-effective process optimization. A 2D axisymmetric fluid model of an inductively coupled O2 plasma (ICP) reactor was developed to generate a training dataset for two neural architectures: a Multi-Layer Perceptron (MLP) and a Kolmogorov-Arnold Network (KAN). These surrogates predict radial etching rates across a wide operating window of power, pressure, gas flow, and bias voltage. By replacing the expensive PBM with these high-speed surrogates, derivative-free optimization algorithms (Nelder-Mead and Powell) successfully identified a profit-maximizing operating point (2000 W, 10 mTorr) orders of magnitude faster than direct physical simulation. The results confirm that surrogate-based optimization effectively captures dominant physical trends, such as ion-flux limited regimes, while providing a "Confidence Gap" through model disagreement to flag epistemic uncertainty. This methodology offers a scalable blueprint for reducing the computational burden of process design, transitioning from expensive trial-and-error to efficient, physics-validated autonomous discovery.
Record ID
Keywords
Industry 40, Machine Learning, Modelling and Simulations, Optimization, Plasma process
Subject
Suggested Citation
Boniakou E, Xue Y, Vasileiadis T, Mouchtouris S, Oikonomou K, Zormpa C, Armaou A, Constantoudis V, Gogolides E, Kokkoris G. Enhancing plasma etching efficiency via physics-based modeling and machine learning. Systems and Control Transactions 5:2578-2586 (2026) https://doi.org/10.69997/sct.112422
Author Affiliations
Boniakou E: National Technical University of Athens, Department of Chemical Engineering, Athens 15780, Greece [ORCID]
Xue Y: The Pennsylvania State University, Department of Mechanical Engineering, University Park, PA 16802, USA [ORCID]
Vasileiadis T: University of Patras, Department of Chemical Engineering, Rio, 26504, Greece [ORCID]
Mouchtouris S: National Technical University of Athens, Department of Chemical Engineering, Athens 15780, Greece. National Centre for Scientific Research Demokritos, Institute of Nanoscience and Nanotechnology, Athens 15341, Greece [ORCID]
Oikonomou K: National Centre for Scientific Research Demokritos, Institute of Informatics and Telecommunications, Athens 15341, Greece [ORCID]
Zormpa C: National Centre for Scientific Research Demokritos, Institute of Nanoscience and Nanotechnology, Athens 15341, Greece [ORCID]
Armaou A: University of Patras, Department of Chemical Engineering, Rio, 26504, Greece. The Pennsylvania State University, Department of Chemical Engineering, University Park, PA 16802, USA [ORCID]
Constantoudis V: National Centre for Scientific Research Demokritos, Institute of Nanoscience and Nanotechnology, Athens 15341, Greece [ORCID]
Gogolides E: National Centre for Scientific Research Demokritos, Institute of Nanoscience and Nanotechnology, Athens 15341, Greece [ORCID]
Kokkoris G: National Technical University of Athens, Department of Chemical Engineering, Athens 15780, Greece [ORCID]
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Xue Y: The Pennsylvania State University, Department of Mechanical Engineering, University Park, PA 16802, USA [ORCID]
Vasileiadis T: University of Patras, Department of Chemical Engineering, Rio, 26504, Greece [ORCID]
Mouchtouris S: National Technical University of Athens, Department of Chemical Engineering, Athens 15780, Greece. National Centre for Scientific Research Demokritos, Institute of Nanoscience and Nanotechnology, Athens 15341, Greece [ORCID]
Oikonomou K: National Centre for Scientific Research Demokritos, Institute of Informatics and Telecommunications, Athens 15341, Greece [ORCID]
Zormpa C: National Centre for Scientific Research Demokritos, Institute of Nanoscience and Nanotechnology, Athens 15341, Greece [ORCID]
Armaou A: University of Patras, Department of Chemical Engineering, Rio, 26504, Greece. The Pennsylvania State University, Department of Chemical Engineering, University Park, PA 16802, USA [ORCID]
Constantoudis V: National Centre for Scientific Research Demokritos, Institute of Nanoscience and Nanotechnology, Athens 15341, Greece [ORCID]
Gogolides E: National Centre for Scientific Research Demokritos, Institute of Nanoscience and Nanotechnology, Athens 15341, Greece [ORCID]
Kokkoris G: National Technical University of Athens, Department of Chemical Engineering, Athens 15780, Greece [ORCID]
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Journal Name
Systems and Control Transactions
Volume
5
First Page
2578
Last Page
2586
Year
2026
Publication Date
2026-06-12
Version Comments
Original Submission
Other Meta
PII: 2578-2586-642-SCT-5-2026, Publication Type: Journal Article
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LAPSE:2026.0526v1
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https://doi.org/10.69997/sct.112422
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References Cited
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