In calculating the light propagation in inhomogeneous uniaxial materials by using a conventional $4{ imes}4$ matrix method, Fabry-Perot effect is caused by inherent multiple internal reflections at interfaces for monochromatic light source. In this paper we propose an apodization method by which we can eliminate in negligible time the interference fringe in the $4{ imes}4$ matrix optics. For a cell with k abrupt interfaces, the new apodization method can be implemented simply by, at maximum, (k+1) addtional $4{ imes}4$ matrix multiplications in calculating the complete transfer matrix of the cell.