A maximum likelihood approach to the inverse problem of scatterometry

MA Henn, H Gross, F Scholze, M Wurm, C Elster… - Optics …, 2012 - opg.optica.org
Scatterometry is frequently used as a non-imaging indirect optical method to reconstruct the
critical dimensions (CD) of periodic nanostructures. A particular promising direction is EUV …

Modeling of line roughness and its impact on the diffraction intensities and the reconstructed critical dimensions in scatterometry

H Gross, MA Henn, S Heidenreich, A Rathsfeld, M Bär - 2012 - oa.tib.eu
We investigate the impact of line edge and line width roughness (LER, LWR) on the
measured diffraction intensities in angular resolved extreme ultraviolet (EUV) scatterometry …

Deep ultraviolet scatterometer for dimensional characterization of nanostructures: system improvements and test measurements

M Wurm, S Bonifer, B Bodermann… - … Science and Technology, 2011 - iopscience.iop.org
A novel type of deep ultraviolet scatterometer recently developed and set up at PTB has
been significantly improved with respect to the dynamic range and the signal-to-noise ratio …

Numerical Validation of Analytical Solutions for the Kairat Evolution Equation

MMA Khater - International Journal of Theoretical Physics, 2024 - Springer
This study undertakes a comprehensive analytical and numerical investigation of the
nonlinear Kairat model, a significant evolution equation that governs a wide range of …

An integrated analytical–numerical framework for studying nonlinear PDEs: The GBF case study

MMA Khater - Modern Physics Letters B, 2024 - World Scientific
In this study, we investigate the complex dynamics of the (1+ 1)-dimensional generalized
Burgers–Fisher (GBF) model, a nonlinear partial differential equation that encapsulates the …

Analytical insights into the behavior of finite amplitude waves in plasma fluid dynamics

R Altuijri, AH Abdel-Aty, KS Nisar… - Modern Physics Letters …, 2025 - World Scientific
This study introduces innovative analytical solutions for the (2+ 1)-dimensional nonlinear
Jaulent–Miodek (𝕁 𝕄) equation, a governing model elucidating the propagation …

Nonlinear evolution equations in dispersive media: Analyzing the semilinear dispersive-fisher model

R Altuijri, AH Abdel-Aty, KS Nisar… - International Journal of …, 2025 - ui.adsabs.harvard.edu
Abstract The nonlinear Semilinear Dispersive-Fisher (SDF) model is an important equation
describing wave dynamics in dispersive media influenced by nonlinear and diffusive effects …

Modelling line edge roughness in periodic line-space structures by Fourier optics to improve scatterometry

H Gross, S Heidenreich, MA Henn… - Journal of the …, 2014 - jeos.edpsciences.org
In the present paper, we propose a 2D-Fourier transform method as a simple and efficient
algorithm for stochastical and numerical studies to investigate the systematic impacts of line …

Impact of line edge and line width roughness on diffraction intensities in scatterometry

H Gross, MA Henn, S Heidenreich… - Optical Systems …, 2012 - spiedigitallibrary.org
The characterization of nanostructured surfaces by scatterometry is an established method
in wafer metrology. From measured light diffraction patterns, critical dimensions (CD) of …

Geometry reconstruction for scatterometry on a MoSi photo mask based on maximum likelihood estimation

MA Henn, H Gross, M Bär, M Wurm… - Modeling Aspects in …, 2011 - spiedigitallibrary.org
Previous work has shown that the reconstruction of geometric parameters describing the
profile of an attenuated phase shift (MoSi) photomask is possible by a least-square …