ADI-FDTD method with fourth order accuracy in time

ADI-FDTD method with fourth order accuracy in time

This letter presents an unconditionally stable alternating direction implicit finite-difference time-domain (ADI-FDTD) method with fourth order accuracy in time. Analytical proof of unconditional stability and detailed analysis of numerical dispersion are presented. Compared to second order ADI-FDTD...

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Bibliographic Details
Main Authors: Tan, Eng Leong, Heh, Ding Yu
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2020
Subjects:
Engineering::Electrical and electronic engineering
Higher Order ADI-FDTD
Split-step Approach
Online Access:https://hdl.handle.net/10356/137113
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Institution: Nanyang Technological University
Language: English
Description
Summary:This letter presents an unconditionally stable alternating direction implicit finite-difference time-domain (ADI-FDTD) method with fourth order accuracy in time. Analytical proof of unconditional stability and detailed analysis of numerical dispersion are presented. Compared to second order ADI-FDTD and six-steps SS-FDTD, the fourth order ADI-FDTD generally achieves lower phase velocity error for sufficiently fine mesh. Using finer mesh gridding also reduces the phase velocity error floor, which dictates the accuracy limit due to spatial discretization errors when the time step size is reduced further.

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