New mathematical formulas for more accurate physical descriptions of the optical and optoelectric conductivities of an optical medium

• Published in: Journal of materials science. Materials in electronics 2023-07, Vol.34 (20), p.1554, Article 1554
• Main Authors: Gomaa, Hosam Mohamed, Saudi, H. A.
• Format: Article
• Language: English
• Subjects: Approximation; Characterization and Evaluation of Materials; Chemistry and Materials Science; Dielectric relaxation; Diffraction patterns; Materials Science; Numerical analysis; Optical and Electronic Materials; Parameters; Permittivity; Sodium borates
• ISSN: 0957-4522; 1573-482X
• DOI: 10.1007/s10854-023-10969-8

The primary focus of this work is the theoretical issue of optical dielectric relaxation with optical and optoelectric conductivities. Based on the theoretical formulation of the proportional relationships of the dielectric relaxation with the optoelectric and optical conductivities, a new approximation is derived, where the proportional constants have been obtained using the numerical analysis technique. One sample of sodium borate-based glass was prepared for this purpose using the fast cooling technique. Where the prepared sample's amorphous nature was confirmed by the X-ray diffraction pattern. Then, UV–Vis measurements were used to obtain the manufactured sample's optical parameters. The newly developed approximation (equations) produced results that were highly consistent with the previously published ones. In addition, the study results show that optical conductivity is a function of the imaginary optical dielectric constant, whereas optoelectric is a function of the real optical dielectric constant. Such a result may be considered an advantage finding, which may help deeply understand such parameters.