Machine learning aided solution to the inverse problem in optical scatterometry

S Liu, X Chen, T Yang, C Guo, J Zhang, J Ma, C Chen… - Measurement, 2022 - Elsevier
Optical scatterometry is the workhorse technique for in-line manufacturing process control in
the semiconductor industry. However, as manufacturing processes develop, traditional …

Simultaneous dimensional and analytical characterization of ordered nanostructures

P Hönicke, Y Kayser, KV Nikolaev, V Soltwisch… - Small, 2022 - Wiley Online Library
The spatial and compositional complexity of 3D structures employed in today's
nanotechnologies has developed to a level at which the requirements for process …

Inverse scattering with a parametrized spatial spectral volume integral equation for finite scatterers

S Eijsvogel, RJ Dilz, MC van Beurden - JOSA A, 2023 - opg.optica.org
In wafer metrology, the knowledge of the photomask together with the deposition process
only reveals the approximate geometry and material properties of the structures on a wafer …

Bayesian Target‐Vector Optimization for Efficient Parameter Reconstruction

M Plock, K Andrle, S Burger… - Advanced Theory and …, 2022 - Wiley Online Library
Parameter reconstructions are indispensable in metrology. Here, the objective is to explain
K experimental measurements by fitting to them a parameterized model of the measurement …

Global sensitivity analysis and uncertainty quantification for simulated atrial electrocardiograms

B Winkler, C Nagel, N Farchmin, S Heidenreich… - Metrology, 2022 - mdpi.com
The numerical modeling of cardiac electrophysiology has reached a mature and advanced
state that allows for quantitative modeling of many clinically relevant processes. As a result …

Recent advances in Bayesian optimization with applications to parameter reconstruction in optical nano-metrology

M Plock, S Burger, PI Schneider - Modeling Aspects in Optical …, 2021 - spiedigitallibrary.org
Parameter reconstruction is a common problem in optical nano metrology. It generally
involves a set of measurements, to which one attempts to fit a numerical model of the …

[PDF][PDF] PyThia: A Python package for Uncertainty Quantification based on non-intrusive polynomial chaos expansions

N Hegemann, S Heidenreich - Journal of Open Source Software, 2023 - joss.theoj.org
PyThia is a Python package for quantifying uncertainties by computing polynomial chaos
surrogates for computationally expensive parametric models (eg, parametric partial …

Efficient approximation of high-dimensional exponentials by tensor networks

M Eigel, N Farchmin, S Heidenreich… - International Journal …, 2023 - dl.begellhouse.com
In this work a general approach to compute a compressed representation of the exponential
exp (h) of a high-dimensional function h is presented. Such exponential functions play an …

Nondestructive measurement of terahertz optical thin films by machine learning based on physical consistency

Z Ming, D Liu, L Xiao, L Yang, Y Cheng, H Yang… - Optics …, 2024 - opg.optica.org
Optical scattering measurement is one of the most commonly used methods for non-contact
online measurement of film properties in industrial film manufacturing. Terahertz photons …

[图书][B] Adaptive and non-intrusive uncertainty quantification for high-dimensional parametric PDEs

N Farchmin - 2022 - search.proquest.com
Diese Dissertation beschäftigt sich mit der Kombination aus verlässlicher Fehlerkontrolle
und datenbasierter Approximation um nicht-intrusive und zuverlässige Algorithmen zur …