Unconditionally stable fundamental alternating direction implicit FDTD method for dispersive media

• Main Authors: Heh, Ding Yu, Tan, Eng Leong
• Other Authors: Ahmed, Iftikhar
• Format: Book Chapter
• Language: English
• Published: Springer, Singapore 2020
• Subjects: Engineering::Electrical and electronic engineering; Alternating Direction Implicit Finite-difference Time-domain; Dispersive Media
• Online Access: https://hdl.handle.net/10356/143644
• Institution: Nanyang Technological University

This chapter presents the formulation of novel unconditionally stable fundamental alternating direction implicit finite-difference time-domain (FADI-FDTD) method for dispersive media. A generalized formulation is provided, which is applicable for various dispersive models, such as Debye, Lorentz, Drude, and complex conjugate pole-residue pair models. The extension for full 3D dispersive media using novel FADI-FDTD method makes the resultant update equations much more concise and simpler than using conventional ADI-FDTD method. To demonstrate the application of novel FADI-FDTD method, the analysis of plasmonic waveguide using FADI-FDTD method is provided. The characteristics of a surface plasmon waveguides with Au (gold) and Ag (silver) metal cladding, modeled as combination of Drude-Lorentz dispersive media are analyzed. Further analysis of plasmonic waveguide grating filter is also considered.