| In this talk, we will discuss some recent results in solving Maxwell equations in nonhomogeneous media. First, we will discuss a new upwind embedded boundary method with finite difference methods to solve time dependent Maxwell equation in media with material interfaces; secondly, a high order spectral approximation of a global boundary condition will be presented for time harmonic Maxwell equations in layered media; lastly, we will present a fast solver for integral equations of Maxwell equation in layered media. |