On the Engquist Majda Absorbing Boundary Conditions for Hyperbolic Systems

In their classical paper [2], the authors presented a methodology for the derivation of far field boundary conditions for the absorption of waves that are almost perpendicular to the boundary. In this paper we derive a general order absorbing boundary conditions of the type suggested by Engquist and Majda. The derivation utilizes a different methodology which is more general and simpler. This methodology is applied to the two and three dimensional wave equation, to the three dimensional Maxwell’s equations and to the equations of advective acoustics in two dimensions.