Electric potential energy of the incident light and the Hamiltonian of the induced oscillators in non-absorbing isotropic dielectrics

Abstract

By considering an energy balance between the electric potential energy of the incident light and the Hamiltonian of the induced oscillators in a non-absorbing isotropic medium, the Newton–Drude equation, the Sellmeier dispersion formula, and the wavelength-dependent mean polarizability were derived. The Newton–Drude formula and the Lorentz–Lorenz equation were used to calculate the density-dependent mean polarizability of the densified silica glasses. The evaluated mean polarizability was compared with the band shifts in the UV- and IR-spectra with the density of glasses, and the validity of the Newton–Drude formula was discussed.