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The Paul wavelet algorithm: an alternative approach to calculate the refractive index dispersion of a dielectric film from transmittance spectrum

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Abstract

A new application of the Paul wavelet algorithm was presented to determine the refractive index dispersion of a dielectric film from transmittance spectrum in the visible and near infrared region. The developed algorithm was tested by simulated data and experimentally applied to a sample of mica. The obtained refractive index dispersion determined by the Paul wavelet algorithm was compared with the refractive index values determined by the envelope and fringe counting methods, and also with the established result. It was shown that the degree of the Paul wavelet has a major effect on the outcome of a refractive index determination. The noise immunity of the presented method was shown by the simulation study.

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Acknowledgments

This research was supported by the Turkish Scientific and Technological Research Council (TUBITAK-TBAG no. 105T136). E.C. thanks TUBITAK for a scholarship. The authors would like to express their gratitude for the helpful criticisms of the reviewers.

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Authors and Affiliations

  1. Department of Physics, Çanakkale Onsekiz Mart University, 17100, Çanakkale, Turkey

    Emre Coşkun, Serhat Özder & Erhan Tiryaki

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  1. Emre Coşkun
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  2. Serhat Özder
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  3. Erhan Tiryaki
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Correspondence to Emre Coşkun.

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Coşkun, E., Özder, S. & Tiryaki, E. The Paul wavelet algorithm: an alternative approach to calculate the refractive index dispersion of a dielectric film from transmittance spectrum. Appl. Phys. B 113, 243–250 (2013). https://doi.org/10.1007/s00340-013-5465-7

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  • DOI: https://doi.org/10.1007/s00340-013-5465-7

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