Accurate computer simulation phase-shifting digital interferometry for measurement of the optical properties of Zamzam water in the visible spectrum Nasser A. Moustafa1,2, Hasan Assaedi2, Thamer H. Albaqami2 1Physics Department, Faculty of Science, H

Refractive indices of Zamzam, bottled drinking and distilled waters have been measured by computer simulation phase shifting digital interferometry at six discrete wavelengths across the visible spectrum. Some optical parameters related to the refractive index were deduced, such as: specific refraction; polarization; group refractive index; permittivity; transmittance and reflectance. The dispersion of the deduced optical parameters across the visible spectrum was calculated. The computer simulation phase shifting digital interferometer have been used to design an experimental setup to investigate the intensity distribution of the correlation fringes obtained for Zamzam, bottled drinking and distilled waters. The present computer simulation phase shifting digital interferometer and the new theoretical formulae have been confirmed with a previous experimental results. Error value of the measured and the calculated optical parameters have been given. A detailed study between the new equations and the Cauchy dispersion equation is presented. The present study proved that Zamzam water has special and distinct optical properties that are different than those of bottled drinking and distilled waters.