Suggesting a new modification of the Cole–Cole model for the purposes of explaining and describing the optical dielectric relaxation phenomena

Abstract

Cole–Cole model for electric–dielectric relaxation has been developed to be applicable in the case of optical dielectric relaxation. Such achievement, in addition to Tauc's relationship, should help in exacting the extracted optical parameters of an optical medium for the purposes of optoelectronic applications. One sample of barium lead sodium borate glass has been prepared using the traditional techniques and methods. The amorphous nature prepared of the sample has been characterized using both the X-ray diffraction XRD technique and Fourier transform infrared FTIR spectral analysis. XRD pattern revealed only two broad humps, while FTIR spectrum revealed the existence of three basic structural units BO₃, BO₄, and PbO₄. While UV–Vis optical measurements showed the prepared sample is of low optical transmittance (high absorption rate per meter). The optical analysis showed that both the surface, SELF, and volume, VELF, energy loss functions decreased as the photon's frequency increased. The SELF values are found to be lesser than the VELF values, which means that the prepared sample has a high absorption rate and a low reflection rate at all UV–Vis regions. Finally, the Cole–Cole approximation has been modified successively, by the first author Hosam M Gomaa, to simulate and describe the optical dielectric relaxation for the prepared glass, where the resulting parameters helped in determining the number of relaxation processes that contributed to the optical spectrum. The new approximation helped in determining the hidden absorption peaks in the UV region. The resulted Cole–Cole parameter showed small values (less than unity), confirming the amorphous nature of the prepared sample.