Substrate Effect on the Optical Reflectance and Transmittance of Thin-Film Structures
A rigorous and consistent approach is demonstrated to develop a model of the 4M structure (the four-media structure of a film on a substrate of finite thickness). The general equations obtained for the reflectance and transmittance spectra of the 4M structure are simplified by employing a procedure...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Optics |
| Online Access: | http://dx.doi.org/10.1155/2010/137572 |
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| _version_ | 1832550697279684608 |
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| author | Anatoly Barybin Victor Shapovalov |
| author_facet | Anatoly Barybin Victor Shapovalov |
| author_sort | Anatoly Barybin |
| collection | DOAJ |
| description | A rigorous and consistent approach is demonstrated to develop a model of the 4M structure (the four-media structure of a film on a substrate of finite thickness). The general equations obtained for the reflectance and transmittance spectra of the 4M structure are simplified by employing a procedure of the so-called device averaging to reduce them to a succinct form convenient for processing of experimental spectra for the structures with a thick substrate. The newly derived equations are applied to two special cases: (i) an arbitrary film on highly absorbing substrates and (ii) a slightly absorbing film on transparent substrates. The reflectance and transmittance spectra represented in the simplified (with the device averaging) form have a practical application for determining the film thickness and optical constants from experimental spectra by using the known techniques. |
| format | Article |
| id | doaj-art-5c999b54fab3443ba008655e1b3fdc1b |
| institution | Kabale University |
| issn | 1687-9384 1687-9392 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Optics |
| spelling | doaj-art-5c999b54fab3443ba008655e1b3fdc1b2025-02-03T06:05:58ZengWileyInternational Journal of Optics1687-93841687-93922010-01-01201010.1155/2010/137572137572Substrate Effect on the Optical Reflectance and Transmittance of Thin-Film StructuresAnatoly Barybin0Victor Shapovalov1Electronics Department, Saint Petersburg State Electrotechnical University, Saint Petersburg 197376, RussiaElectronics Department, Saint Petersburg State Electrotechnical University, Saint Petersburg 197376, RussiaA rigorous and consistent approach is demonstrated to develop a model of the 4M structure (the four-media structure of a film on a substrate of finite thickness). The general equations obtained for the reflectance and transmittance spectra of the 4M structure are simplified by employing a procedure of the so-called device averaging to reduce them to a succinct form convenient for processing of experimental spectra for the structures with a thick substrate. The newly derived equations are applied to two special cases: (i) an arbitrary film on highly absorbing substrates and (ii) a slightly absorbing film on transparent substrates. The reflectance and transmittance spectra represented in the simplified (with the device averaging) form have a practical application for determining the film thickness and optical constants from experimental spectra by using the known techniques.http://dx.doi.org/10.1155/2010/137572 |
| spellingShingle | Anatoly Barybin Victor Shapovalov Substrate Effect on the Optical Reflectance and Transmittance of Thin-Film Structures International Journal of Optics |
| title | Substrate Effect on the Optical Reflectance and Transmittance of Thin-Film Structures |
| title_full | Substrate Effect on the Optical Reflectance and Transmittance of Thin-Film Structures |
| title_fullStr | Substrate Effect on the Optical Reflectance and Transmittance of Thin-Film Structures |
| title_full_unstemmed | Substrate Effect on the Optical Reflectance and Transmittance of Thin-Film Structures |
| title_short | Substrate Effect on the Optical Reflectance and Transmittance of Thin-Film Structures |
| title_sort | substrate effect on the optical reflectance and transmittance of thin film structures |
| url | http://dx.doi.org/10.1155/2010/137572 |
| work_keys_str_mv | AT anatolybarybin substrateeffectontheopticalreflectanceandtransmittanceofthinfilmstructures AT victorshapovalov substrateeffectontheopticalreflectanceandtransmittanceofthinfilmstructures |