Investigation and development of alternating-direction-implicit finite-difference time-domain method

• Main Author: Fu, Weiming
• Other Authors: Tan Eng Leong
• Format: Theses and Dissertations
• Published: 2008
• Subjects: DRNTU::Engineering::Electrical and electronic engineering::Control and instrumentation::Control engineering
• Online Access: https://hdl.handle.net/10356/3508
• Institution: Nanyang Technological University

The Alternating-Direction-Implicit Finite-Difference Time-Domain (ADI-FDTD) method was proven to be unconditionally stable and free from the Courant-Friedrich-Levy (CFL) condition so that the iteration number of time step may be decreased considerably. My thesis work is mainly dedicated to the investigation and development of ADI-FDTD method. This thesis performs the stability and dispersion analyses for the ADI-FDTD method in lossy media. This will be meaningful for the evaluation and further development of the ADI-FDTD method in lossy media. In order to achieve improved numerical dispersion performance, a series of three-dimensional (3-D) higher order ADI-FDTD methods are presented, as well as a parameter optimized ADI-FDTD method based on the (2,4) stencil (denoted as (2,4) PO-ADI-FDTD method). The stability and numerical dispersion of these methods are also studied. The thesis also proposes the ADI-FDTD method including passive lumped elements, which is proven to be unconditionally stable. So the stability of these proposed schemes is neither related to the mesh size, nor related to the values of the elements, which is therefore a distinguished advantage over the previous extended FDTD.