Second order pseudo-transparent boundary equations for FDTD method

In order to reduce computational times and minimize memory storage for the finite-difference time-domain (FDTD) method, a family of pseudo-transparent boundary equations has been developed. Constructed with the Joly (1987) method, they allow a minimum distance of four cells between the boundary of the computational domain and the scattering structure treated by the classical FDTD scheme. A special process is provided for planes, edges, and corners. A validation is proposed with electric currents, computed by A. Taflove and K. Umashankar (1983) on a metal cube. The proposed numerical scheme has been shown to be stable in practice. No cross-polarization is introduced by the boundaries.<>