An uniaxial perfectly matched layer for chiral metamaterials

It was shown that using a dispersive formulation of FDTD and expressing constitutive relations of a medium as difference equations, it is possible to design an absorbing boundary condition for chiral metamaterials. The use of z-transforms allows overcoming the complexity of discretizing higher order differential equations that originate from the constitutive relations. FDTD numerical simulations performed for a parallel plate waveguide confirm that the new UPML formulation, proposed herein, provides a very accurate ABC for a medium with magnetoelectric coupling which is stable when the terminated medium has a double-negative index of refraction. This new technique provides a very beneficial tool for studying chiral materials and DNG media exhibiting magnetoelectric coupling, using the FDTD method.