Conformal Laguerre-FDTD Method for Modeling Curved PEC and Thin-Material Coated PEC

The Laguerre finite-difference time-domain (Laguerre-FDTD) method is an efficient unconditionally stable method based on marching-on-in degree scheme. However, when modeling curved perfectly electric conductor (PEC) and thin-material coated PEC, the commonly used staircasing procedure in conventional Laguerre-FDTD method may introduce errors or be time-consuming. This paper presents a conformal Laguerre-FDTD method to deal with those problems. The proposed method is validated by the radar cross section (RCS) calculation of a PEC cylinder and two thin-material coated PEC cylinders. Results show that the proposed method can still keep accuracy under a relatively large cell size, and save computational time and memory compared with conventional Laguerre-FDTD method.