2008
DOI: 10.1364/ao.47.005208
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Estimation of the thickness and the optical parameters of several stacked thin films using optimization

Abstract: The reverse engineering problem addressed in the present research consists of estimating the thicknesses and the optical constants of two thin films deposited on a transparent substrate using only transmittance data through the whole stack. No functional dispersion relation assumptions are made on the complex refractive index. Instead, minimal physical constraints are employed, as in previous works of some of the authors where only one film was considered in the retrieval algorithm. To our knowledge this is th… Show more

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Cited by 15 publications
(10 citation statements)
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“…The single homogenous absorbing layer model is only an approximation, since it does not consider either the existence of the substrate/film interface, the surface roughness, or oxidation. We can expect that the error of determination of increases extremely for < 30 nm [54,55]. The relative error in the thickness determination is independent of for layers with > 70 nm (±0.3%), and downwards it increases up to 1% for layers with d∼30 nm.…”
Section: Resultsmentioning
confidence: 93%
“…The single homogenous absorbing layer model is only an approximation, since it does not consider either the existence of the substrate/film interface, the surface roughness, or oxidation. We can expect that the error of determination of increases extremely for < 30 nm [54,55]. The relative error in the thickness determination is independent of for layers with > 70 nm (±0.3%), and downwards it increases up to 1% for layers with d∼30 nm.…”
Section: Resultsmentioning
confidence: 93%
“…The optical constants (refractive index and absorption coefficient) of both flat and structured VO 2 ‐polymer composite films at low and high temperature were estimated through PUMA from the one‐film system by using experimental transmittance data. [ 52,53 ] The PUMA software is freely available from the PUMA Project web page (https://www.ime.usp.br/~egbirgin/puma/#related). A 2D FDTD (Lumerical Solutions, Inc.) method was used to calculate transmittance of the VO 2 ‐polymer composite thin film and tilted VO 2 ‐polymer composite structure at low and high temperature.…”
Section: Methodsmentioning
confidence: 99%
“…(6)] is [−π, π] rad/sample [24]. The angular optical frequency vector can be written as ω[m] = ω min + m δ ω.…”
Section: A3 Depth Range Of the Spectrometermentioning
confidence: 99%
“…Unlike QPI which uses the field phase for measuring the optical thickness, several methods relying on the reflectance and transmittance were used. Andrade et al [6] used optimization applied to transmittance measurements for determining submicron thickness of a thin film stack. Reflectometry uses broad bandwidth reflectance to retrieve the thicknesses of thin films, using models requiring a priori knowledge about the refractive indices of the different layers of the samples under study [7][8][9].…”
Section: Introductionmentioning
confidence: 99%