In this paper, the behaviour of an arbitrarily polarised plane wave on a dielectric-dielectric interface is investigated. By imposing the appropriate boundary conditions the Fresnel transmission and reflection coefficients are derived. Using these coefficients various three dimensional as well as contour plots are produced using a MATLAB code in order to illustrate the refraction and the reflection usually encountered at an interface. Snell's law and the Brewster angle are discussed within the context of the analysis.
