Approximations of reflection and transmission coefficients of inhomogeneous thin films based on multiple-beam interference model

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Publikace nespadá pod Pedagogickou fakultu, ale pod Přírodovědeckou fakultu. Oficiální stránka publikace je na webu muni.cz.
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OHLÍDAL Ivan VOHÁNKA Jiří MISTRÍK Jan ČERMÁK Martin VIŽĎA František FRANTA Daniel

Rok publikování 2019
Druh Článek v odborném periodiku
Časopis / Zdroj Thin Solid Films
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www odkaz na stránku nakladatele
Doi http://dx.doi.org/10.1016/j.tsf.2019.03.001
Klíčová slova Reflectance;Transmittance;Ellipsometric parameters;Inhomogeneous thin films
Popis A multiple-beam interference model is used to derive approximate formulae for the reflection and transmission coefficients of inhomogeneous thin films exhibiting large gradients of refractive index profiles. It is shown that these formulae are constituted by series containing the Wentzel-Kramers-Brillouin-Jeffreys term and correction terms with increasing order corresponding to number of considered internal reflections inside the films. A numerical analysis enabling us to show the influence of a degree of inhomogeneity on spectral dependencies of reflectance and ellipsometric parameters of inhomogeneous films is performed. Advantages and disadvantages of our approach compared with other approximate approaches are discussed. The optical characterization of a selected non-stoichiometric silicon nitride film prepared by reactive magnetron sputtering onto silicon single crystal substrate is performed for illustration of using our formulae in practice.
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