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Further Increasing the Accuracy of Characterization of a Thin Dielectric or Semiconductor Film on a Substrate from Its Interference Transmittance Spectrum
Three means are investigated for further increasing the accuracy of the characterization of a thin film on a substrate, from the transmittance spectrum T(λ) of the specimen, based on the envelope method. Firstly, it is demonstrated that the accuracy of characterization, of the average film thickness...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8399147/ https://www.ncbi.nlm.nih.gov/pubmed/34443203 http://dx.doi.org/10.3390/ma14164681 |
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author | Minkov, Dorian Marquez, Emilio Angelov, George Gavrilov, Gavril Ruano, Susana Saugar, Elias |
author_facet | Minkov, Dorian Marquez, Emilio Angelov, George Gavrilov, Gavril Ruano, Susana Saugar, Elias |
author_sort | Minkov, Dorian |
collection | PubMed |
description | Three means are investigated for further increasing the accuracy of the characterization of a thin film on a substrate, from the transmittance spectrum T(λ) of the specimen, based on the envelope method. Firstly, it is demonstrated that the accuracy of characterization, of the average film thickness [Formula: see text] and the thickness non-uniformity ∆d over the illuminated area, increases, employing a simple dual transformation utilizing the product T(λ)x(s)(λ), where T(sm)(λ) is the smoothed spectrum of T(λ) and x(s)(λ) is the substrate absorbance. Secondly, an approach is proposed for selecting an interval of wavelengths, so that using envelope points only from this interval provides the most accurate characterization of [Formula: see text] and ∆d, as this approach is applicable no matter whether the substrate is transparent or non-transparent. Thirdly, the refractive index n(λ) and the extinction coefficient k(λ) are computed, employing curve fitting by polynomials of the optimized degree of 1/λ, instead of by previously used either polynomial of the optimized degree of λ or a two-term exponential of λ. An algorithm is developed, applying these three means, and implemented, to characterize a-Si and As(98)Te(2) thin films. Record high accuracy within 0.1% is achieved in the computation of [Formula: see text] and n(λ) of these films. |
format | Online Article Text |
id | pubmed-8399147 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-83991472021-08-29 Further Increasing the Accuracy of Characterization of a Thin Dielectric or Semiconductor Film on a Substrate from Its Interference Transmittance Spectrum Minkov, Dorian Marquez, Emilio Angelov, George Gavrilov, Gavril Ruano, Susana Saugar, Elias Materials (Basel) Article Three means are investigated for further increasing the accuracy of the characterization of a thin film on a substrate, from the transmittance spectrum T(λ) of the specimen, based on the envelope method. Firstly, it is demonstrated that the accuracy of characterization, of the average film thickness [Formula: see text] and the thickness non-uniformity ∆d over the illuminated area, increases, employing a simple dual transformation utilizing the product T(λ)x(s)(λ), where T(sm)(λ) is the smoothed spectrum of T(λ) and x(s)(λ) is the substrate absorbance. Secondly, an approach is proposed for selecting an interval of wavelengths, so that using envelope points only from this interval provides the most accurate characterization of [Formula: see text] and ∆d, as this approach is applicable no matter whether the substrate is transparent or non-transparent. Thirdly, the refractive index n(λ) and the extinction coefficient k(λ) are computed, employing curve fitting by polynomials of the optimized degree of 1/λ, instead of by previously used either polynomial of the optimized degree of λ or a two-term exponential of λ. An algorithm is developed, applying these three means, and implemented, to characterize a-Si and As(98)Te(2) thin films. Record high accuracy within 0.1% is achieved in the computation of [Formula: see text] and n(λ) of these films. MDPI 2021-08-19 /pmc/articles/PMC8399147/ /pubmed/34443203 http://dx.doi.org/10.3390/ma14164681 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Minkov, Dorian Marquez, Emilio Angelov, George Gavrilov, Gavril Ruano, Susana Saugar, Elias Further Increasing the Accuracy of Characterization of a Thin Dielectric or Semiconductor Film on a Substrate from Its Interference Transmittance Spectrum |
title | Further Increasing the Accuracy of Characterization of a Thin Dielectric or Semiconductor Film on a Substrate from Its Interference Transmittance Spectrum |
title_full | Further Increasing the Accuracy of Characterization of a Thin Dielectric or Semiconductor Film on a Substrate from Its Interference Transmittance Spectrum |
title_fullStr | Further Increasing the Accuracy of Characterization of a Thin Dielectric or Semiconductor Film on a Substrate from Its Interference Transmittance Spectrum |
title_full_unstemmed | Further Increasing the Accuracy of Characterization of a Thin Dielectric or Semiconductor Film on a Substrate from Its Interference Transmittance Spectrum |
title_short | Further Increasing the Accuracy of Characterization of a Thin Dielectric or Semiconductor Film on a Substrate from Its Interference Transmittance Spectrum |
title_sort | further increasing the accuracy of characterization of a thin dielectric or semiconductor film on a substrate from its interference transmittance spectrum |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8399147/ https://www.ncbi.nlm.nih.gov/pubmed/34443203 http://dx.doi.org/10.3390/ma14164681 |
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