A comparison among the results of various dispersion relations for the ellipsometric data of Mn:ZnO thin films using PSO algorithm
Using particle swarm optimization (PSO) algorithm, the Cauchy, Forouhi-Bloomer (FB) and Sellmeier parametrization models were compared for the Mn doped ZnO (Mn:ZnO) thin films. The variation of both refractive and extinction coefficients with Mn concentration was also discussed. Our calculations dem...
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| Published in | Physica. B, Condensed matter Vol. 545; pp. 125 - 133 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Amsterdam
Elsevier B.V
15.09.2018
Elsevier BV |
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| Online Access | Get full text |
| ISSN | 0921-4526 1873-2135 |
| DOI | 10.1016/j.physb.2018.05.021 |
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| Abstract | Using particle swarm optimization (PSO) algorithm, the Cauchy, Forouhi-Bloomer (FB) and Sellmeier parametrization models were compared for the Mn doped ZnO (Mn:ZnO) thin films. The variation of both refractive and extinction coefficients with Mn concentration was also discussed. Our calculations demonstrate that despite the Sellmeier model exhibits the best fit with the lowest root-mean-square error (RMSE) in the transparent region, the FB model is well-suited in the both transparent and absorbing areas. Different energy gaps, roughnesses and thicknesses were obtained by the mentioned models. A comparison with the results of Tauck-Loretz model along with an exciton-based dielectric function were also done for our results.
•Introducing a PSO algorithm to model ellipsometric data which is easy to use.•Making a comparison among different dispersion models.•Finding Mn effect on the refractive index and extinction coefficient of ZnO thin film. |
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| AbstractList | Using particle swarm optimization (PSO) algorithm, the Cauchy, Forouhi-Bloomer (FB) and Sellmeier parametrization models were compared for the Mn doped ZnO (Mn:ZnO) thin films. The variation of both refractive and extinction coefficients with Mn concentration was also discussed. Our calculations demonstrate that despite the Sellmeier model exhibits the best fit with the lowest root-mean-square error (RMSE) in the transparent region, the FB model is well-suited in the both transparent and absorbing areas. Different energy gaps, roughnesses and thicknesses were obtained by the mentioned models. A comparison with the results of Tauck-Loretz model along with an exciton-based dielectric function were also done for our results. Using particle swarm optimization (PSO) algorithm, the Cauchy, Forouhi-Bloomer (FB) and Sellmeier parametrization models were compared for the Mn doped ZnO (Mn:ZnO) thin films. The variation of both refractive and extinction coefficients with Mn concentration was also discussed. Our calculations demonstrate that despite the Sellmeier model exhibits the best fit with the lowest root-mean-square error (RMSE) in the transparent region, the FB model is well-suited in the both transparent and absorbing areas. Different energy gaps, roughnesses and thicknesses were obtained by the mentioned models. A comparison with the results of Tauck-Loretz model along with an exciton-based dielectric function were also done for our results. •Introducing a PSO algorithm to model ellipsometric data which is easy to use.•Making a comparison among different dispersion models.•Finding Mn effect on the refractive index and extinction coefficient of ZnO thin film. |
| Author | Esmaeili, A. Faraji, M. Shirzad, A. |
| Author_xml | – sequence: 1 givenname: M. surname: Faraji fullname: Faraji, M. organization: Department of Science, Urmia University Campus, Shahid Beheshti Ave., Urmia, Iran – sequence: 2 givenname: A. surname: Esmaeili fullname: Esmaeili, A. email: a.esmaeili@urmia.ac.ir organization: Department of Science, Urmia University Campus, Shahid Beheshti Ave., Urmia, Iran – sequence: 3 givenname: A. surname: Shirzad fullname: Shirzad, A. organization: Department of Civil Engineering, Urmia University of Technology, Band Rd, Urmia, Iran |
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| Snippet | Using particle swarm optimization (PSO) algorithm, the Cauchy, Forouhi-Bloomer (FB) and Sellmeier parametrization models were compared for the Mn doped ZnO... |
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| SubjectTerms | Algorithms Cauchy Coefficient of variation Dispersion Ellipsometry Energy gap Forouhi-Bloomer Optical properties Optimization algorithms Parameterization Particle swarm optimization PSO algorithm Root-mean-square errors Sellmeier Thin films Zinc oxide Zinc oxides ZnO |
| Title | A comparison among the results of various dispersion relations for the ellipsometric data of Mn:ZnO thin films using PSO algorithm |
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