Skin-Effect-Incorporated Transient Simulation Using the Laguerre-FDTD Scheme

In this paper, skin effect is incorporated into the unconditionally stable Laguerre finite-difference time-domain method for transient simulation of multiscale structures. The skin effect is modeled by imposing the surface impedance boundary condition (SIBC) to the surface of the conductor, which significantly reduces the computational effort. Two methods of applying SIBC are proposed and discussed in detail. A procedure for transferring the time-domain convolution into Laguerre domain in recursive form is also discussed. In addition, a method for embedding and de-embedding port resistors for fast simulation and accurate extraction of frequency-domain response is proposed. The results have been validated using measurements, along with the stability analysis of the two implementation methods. Simulation results from the multiscale structures are presented and are compared with measurements which show good accuracy and improved computational efficiency.