Calibration-aware spectroscopic ellipsometric inversion for thin-film metrology under instrument nonidealities

Calibration errors and instrument nonidealities can bias spectroscopic ellipsometric inversion when calibration and sample estimation are treated as independent operations. This work presents a calibration-aware framework that embeds incidence-angle, wavelength-axis, polarization-element, compensator-retardance, and spectral-response errors in the thin-film forward model. Reference-derived calibration covariance is propagated through constrained inversion, while sensitivity, Fisher-information, and cross-correlation metrics quantify identifiability. Eight single-layer films spanning 35–320 nm were evaluated against X-ray reflectometry and an independently calibrated commercial ellipsometer. The laboratory system achieved a mean absolute XRR difference of 0.49 nm, and the mean laboratory–commercial difference was − 0.39 nm with 95% limits of agreement from − 1.35 to + 0.57 nm. Under controlled instrument drift, prior-constrained refinement reduced thickness MAE from 2.25 to 0.78 nm and increased interval coverage from 74% to 93%, approaching the nominal 95% level. Routine inversion required 0.84 s per sample. The results establish a traceable calibration–inversion–uncertainty workflow for thin-film metrology under instrument nonidealities.

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Publication Details

Journal
Optics and Lasers in Engineering
Published
2026-09-21
DOI
https://doi.org/10.1016/j.optlaseng.2026.110129
Primary Topic
Optical Polarization and Ellipsometry
Type
article
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Calibration-aware spectroscopic ellipsometric inversion for thin-film metrology under instrument nonidealities

Chenmou Wu, Xin Tang, Xin Ye, Zhisong Li et al.
Optics and Lasers in Engineering
Optical Polarization and Ellipsometry
article

Calibration-aware spectroscopic ellipsometric inversion for thin-film metrology under instrument nonidealities

Chenmou Wu, Xin Tang, Xin Ye, Zhisong Li, Jie Chen
article en

Abstract

Calibration errors and instrument nonidealities can bias spectroscopic ellipsometric inversion when calibration and sample estimation are treated as independent operations. This work presents a calibration-aware framework that embeds incidence-angle, wavelength-axis, polarization-element, compensator-retardance, and spectral-response errors in the thin-film forward model. Reference-derived calibration covariance is propagated through constrained inversion, while sensitivity, Fisher-information, and cross-correlation metrics quantify identifiability. Eight single-layer films spanning 35–320 nm were evaluated against X-ray reflectometry and an independently calibrated commercial ellipsometer. The laboratory system achieved a mean absolute XRR difference of 0.49 nm, and the mean laboratory–commercial difference was − 0.39 nm with 95% limits of agreement from − 1.35 to + 0.57 nm. Under controlled instrument drift, prior-constrained refinement reduced thickness MAE from 2.25 to 0.78 nm and increased interval coverage from 74% to 93%, approaching the nominal 95% level. Routine inversion required 0.84 s per sample. The results establish a traceable calibration–inversion–uncertainty workflow for thin-film metrology under instrument nonidealities.

Optics and Lasers in EngineeringVol. 208
Shanghai University of Engineering Science (CN), University of Shanghai for Science and Technology (CN), Shanghai Dianji University (CN)
Openalex Percentile: Top 20%
Optical Polarization and Ellipsometry
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Calibration-aware spectroscopic ellipsometric inversion for thin-film metrology under instrument nonidealities — Chenmou Wu, Xin Tang, et al. · Optics and Lasers in Engineering (2026) | TGRS Research Map | TGRS