Spline Regression on Percentage of Reflectance Based on Wavelength of Lithium Niobate (LiNbO3) Doped with Ruthenium Oxide (RuO2)

Anne Mudya Yolanda, Muhammad Nur Aidi, Indahwati Indahwati, Irzaman Irzaman


The characteristics of LiNbO3 are interesting to learn deeply with statistical analysis to identify unique things to optimize its potential in daily lives. The reflectance of LiNbO3 is influenced by the wavelength which can be described as a regression model in y = f (x) with x is wavelength and y is the percentage of reflectance. Using the parameters of Spline regression, the wavelength can be cut into several segments and each segmentation would have its regression model. This study aimed to estimate percentage of reflectance and to learn the wavelength segmentation at various concentrations (0, 2, 4, and 6 %) of LiNbO3 doped with RuO2. The results show that the influence of the doping process exists and optimum knots is four knots in the second order. Thus, there are five segmentation and regression models for each concentration. Based on minimum/maximum local for each segment, the lowest minimum of reflectance in the first and fifth segment are produced by LiNbO3. In the second and third segments, LiNbO3 doped with RuO2 6% has the highest maximum, while in the fourth segment, the lowest minimum was obtained at LiNbO3 doped with RuO2 6%. Based on its concentration, the lowest local minimum among all segments of LiNbO3 is 25.06 percent and the highest is 32.66 percent, while concentration of 2 and 4% only has the lowest local minimum, respectively at 28.50 and 25.49 percent. For concentrations of 6%, the lowest minimum is 36.90 percent and the highest maximum is reached at 72.305 percent.

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