The channeled spectrum employing polarized light interference is a very convenient method for the study of dispersion of birefringence. This method was used for measuring the birefringence of semi organic single crystals of certain undoped and urea doped thiourea complexes viz., mercury chloride, thiourea magnesium chloride, thiourea mercury sulphate and thiourea magnesium sulphate crystals. Cauchy's two term formula was applied to fit the experimental data. The Cauchy's coefficients A and B were obtained by solving the linear equations using MATLAB and the value of birefringence was calculated. The study aims at identifying a best optical material from thiourea complexes with higher SHG efficiency.