Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/137212
Title: Multiple 1-D fundamental ADI-FDTD method for coupled transmission lines on mobile devices
Authors: Tan, Eng Leong
Heh, Ding Yu
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2019
Source: Tan, E. L., & Heh, D. Y. (2019). Multiple 1-D fundamental ADI-FDTD method for coupled transmission lines on mobile devices. IEEE Journal on Multiscale and Multiphysics Computational Techniques, 4, 198-206. doi:10.1109/jmmct.2019.2945187
Journal: IEEE Journal on Multiscale and Multiphysics Computational Techniques 
Abstract: This article presents the multiple one-dimensional (M1-D) fundamental alternating direction implicit (FADI) finite-difference time-domain (FDTD) method for coupled transmission lines on mobile devices. The method is aptly called the M1-D FADI coupled line (CL)-FDTD method. It is based on the fundamental implicit scheme, which features matrix-operator-free right-hand sides (RHS). The formulations of the M1-D FADI CL-FDTD method and update equations are provided. Various sets of split matrices, including those with self-symmetry, mutual symmetry, and self-mutual separation, are proposed and discussed. Their stability analyses are performed using the Fourier amplification matrix formulated in fundamental form, which is simpler with only one inverse term each without RHS operator. It is found that the sets of split matrices with self-symmetry are unconditionally stable, while those with mutual symmetry and self-mutual separation are not. Using two auxiliary quadratic polynomials along with single necessary and sufficient condition, the analytical proof of unconditional stability is made more convenient and concise. The efficiency of both stable sets of split matrices with self-symmetry is discussed based on the number of RHS terms and floating-point operations count. Numerical results are presented to validate the accuracy of the proposed method at time step larger than the stability limit. Several electromagnetic (EM) simulations of coupled line structures are demonstrated on mobile devices. The CPU time incurred on various platforms is provided for the M1-D FADI CL-FDTD method using both sets of split matrices with self-symmetry. Using mobile devices, the EM simulations can be performed efficiently and ubiquitously anytime, anywhere.
URI: https://hdl.handle.net/10356/137212
ISSN: 2379-8815
DOI: 10.1109/JMMCT.2019.2945187
Schools: School of Electrical and Electronic Engineering 
Rights: © 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: https://doi.org/10.1109/JMMCT.2019.2945187
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

SCOPUSTM   
Citations 50

8
Updated on Apr 17, 2024

Web of ScienceTM
Citations 20

7
Updated on Oct 30, 2023

Page view(s)

268
Updated on Apr 23, 2024

Download(s) 50

70
Updated on Apr 23, 2024

Google ScholarTM

Check

Altmetric


Plumx

Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.