ABSTRACT
Many practical physical and electromagnetic phenomena and devices are based on Maxwell’s equations, which allow us to construct models and compute electromagnetic problems with appropriate boundary conditions such as coplanar waveguides (CPW) and slotlines (Jin 2002, Liang, et al. 1989), which are important planar transmission lines in microwave and millimeter-wave integrated circuits; dielectric waveguides (Hwang & Ihm 2006, Ratanadecho 2002), which are used as transmission media at millimeter and submillimeter wave frequencies; and optical waveguides (Shibayama, et al. 2006). Since Yee’s FDTD method was proposed in 1966 (Yee 1966), it has been widely used and further developed (Hwang & Cangellaris 2001, Taflove 1995). For the FDTD scheme, the CFL condition makes the large computational cost for modeling full-wave time-domain solutions of electrically long structures. Many ADI or splitting FDTD schemes (Namiki 1999, Zheng et al. 2000) have been proposed as efficient numerical techniques to solve Maxwell’s equations, which overcome the CFL condition and reduce the computational costs.
