Analytic Field Propagation TFSF Boundary for FDTD Problems Involving Planar Interfaces: Lossy Material and Evanescent Fields

Recently, total-field scattered-field (TFSF) boundaries have been developed for the finite-difference time-domain (FDTD) method which are essentially perfect. The implementation requires an analytic description of the incident field and hence is termed the analytic field propagation (AFP) TFSF method. Previous papers described the implementation for problems involving homogeneous as well as layered media. In this work we provide the details for problems involving lossy media. Additionally, the case of fields incident beyond the critical angle are considered (i.e., when, for lossless material, there is total reflection of the incoming wave and the fields in the second medium are evanescent)