2019/07/10 by Surajit Chakrabarti, Chakrabarti, Surajit
Chemistry · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Glass properties and applications #Optics (physics.optics) #Photochemistry and Electron Transfer Studies #Photonic Crystals and Applications
paper · pdf · doi:10.48550/arxiv.1907.04499
openalex publication_date 2019/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Lorentz-Maxwell model of dispersion of light has been analyzed in this paper to determine the true resonance frequency in the ultraviolet for the electrons in optically transparent glasses and the damping coefficient at this frequency. For this we needed the refractive indices of glass in the optical frequency range. We argue that the true resonance condition in the absorption region prevails when the frequency at which the absorption coefficient is maximum is the same as the frequency at which the average energy per cycle of the electrons is also a maximum. We have simultaneously solved the two equations obtained from the two maxima conditions numerically to arrive at a unique solution for the true resonance frequency and the damping coefficient at this frequency. Assuming the damping coefficient to be constant over a small frequency range in the absorption region, we have determined the frequencies at which the extinction coefficient and the reflectance are maxima. These frequencies match very well with the published data for silica glasses available from the literature.