Absorbing boundary conditions for electromagnetic wave propagation

In this paper, the theoretical perfectly absorbing boundary condition on th e boundary of a half-space domain is developed for the Maxwell system by co nsidering the system as a whole instead of considering each component of th e electromagnetic fields individually. This boundary condition allows any w ave motion generated within the domain to pass through the boundary of the domain without generating any reflections back into the interior. By approx imating this theoretical boundary condition a class of local absorbing boun dary conditions for-the Maxwell system can be constructed. Well-posedness i n the sense:of Kreiss of the Maxwell system with each of these local absorb ing boundary conditions is established, and the reflection coefficients are computed as a plane wave strikes the artificial boundary. numerical experi ments are also provided to show the performance of these local absorbing bo undary conditions.