A 3D conformal S-MRTD formulation for electromagnetic scattering problems containing curved perfectly conducting objects

In this work, a new Conformal Scaling function-based MRTD (Conformal S-MRTD) technique for efficient modeling of curved Perfectly Electric Conducting (PEC) boundary conditions is introduced. The method is implemented with the biorthogonal Deslauriers-Dubuc (DD) S-MRTD [5]; however, it can be generalized to an MRTD scheme with an arbitrary family of functions. This work takes advantage of the developments achieved in the Conformal Finite-Difference Time-Domain (CFDTD) [6, 7], and extends the methodologies to the S-MRTD.