Second-order temporal-accurate scheme for 3-D LOD-FDTD method with three split matrices

This letter presents a second-order temporal-accurate scheme for three-dimensional (3-D) locally one-dimensional finite-difference time-domain (LOD-FDTD) method with three split matrices. The main iterations of the proposed scheme comprise only one more procedure in addition to the existing three pr...

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Bibliographic Details
Main Authors: Yang, Zaifeng, Tan, Eng Leong, Heh, Ding Yu
Other Authors: School of Electrical and Electronic Engineering
Format: Journal Article
Language:English
Published: 2015
Subjects:
Online Access:https://hdl.handle.net/10356/79345
http://hdl.handle.net/10220/38518
Description
Summary:This letter presents a second-order temporal-accurate scheme for three-dimensional (3-D) locally one-dimensional finite-difference time-domain (LOD-FDTD) method with three split matrices. The main iterations of the proposed scheme comprise only one more procedure in addition to the existing three procedures. Using proper (initial only) input and (often infrequent, field-point only) output processings, the second-order temporal accuracy is achieved and verified analytically. To further enhance the efficiency, the proposed scheme is implemented based on the principle of fundamental schemes for unconditionally-stable FDTD methods, which feature a matrix-operator-free right-hand side. Stability analysis is provided to ascertain the unconditional stability of the proposed scheme and numerical results are demonstrated to justify its higher accuracy.