Spectral dispersion and thermo optic coefficient for Silicon material

Abstract

In this study, the first derivatives of this equation with respect to temperature (thermo-optic coefficients) and wavelength (spectral dispersion) were derived in the MATLAB software, and a special code was written to solve the equations and found for temperatures that range from 100 to 750 K and wavelength range from 1.2 to 14 µm. The results of the computation were compared with previously published data, and showed a good agreement. Once that was done, the values of phase velocity and group velocity that depend on refractive index and spectral dispersion in the medium were found. The phase velocity and group velocity were plotted in three dimensions to show the overall change over different values of wavelengths and temperature.