This paper presents a Matlab simulation of the propagation of electromagnetic waves in two-dimensional domain. For this discretized Maxwell rotational equations using elementary Yee’s cell for space and the Leapfrog algorithm for time. Thus obtained values of electric and magnetic field, and obtained higher accuracy than other methods. As we worked with a problem of evolution over time with unbounded domains is introduced Absorbing Boundary Condition (ABC)to avoid reflections on the boundary of the domain due to computational limitations.