Abstract: Aiming to study the interference patterns of convergent polarized light of the nematic liquid crystal cell in different directors,the phase distributions have been calculated by using the coordinate vector decomposition and the light refractive index ellipsoid equation.The light transmission has been also computed by the method of extended Jones matrix.Based on the Matlab procedure,weve simulated the interference patterns and its transformation varying with the nematic liquid molecule directors.The simulations have turned out to help liquid crystal experiment measurement with an auxiliary means.