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Title: Corrections to the General (2,4) and (4,4) FDTD Schemes

Abstract

The sampling weights associated with two general higher order FDTD schemes were derived by Smith, et al. and published in a IEEE Transactions on Antennas and Propagation article in 2012. Inconsistencies between governing equations and their resulting solutions were discovered within the article. In an effort to track down the root cause of these inconsistencies, the full three-dimensional, higher order FDTD dispersion relation was re-derived using Mathematica TM. During this process, two errors were identi ed in the article. Both errors are highlighted in this document. The corrected sampling weights are also provided. Finally, the original stability limits provided for both schemes are corrected, and presented in a more precise form. It is recommended any future implementations of the two general higher order schemes provided in the Smith, et al. 2012 article should instead use the sampling weights and stability conditions listed in this document.

Authors:
 [1];  [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE; Defense Threat Reduction Agency (DTRA)
OSTI Identifier:
1418786
Report Number(s):
LA-UR-18-20636
DOE Contract Number:
AC52-06NA25396
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; Mathematics

Citation Formats

Meierbachtol, Collin S., Smith, William S., and Shao, Xuan-Min. Corrections to the General (2,4) and (4,4) FDTD Schemes. United States: N. p., 2018. Web. doi:10.2172/1418786.
Meierbachtol, Collin S., Smith, William S., & Shao, Xuan-Min. Corrections to the General (2,4) and (4,4) FDTD Schemes. United States. doi:10.2172/1418786.
Meierbachtol, Collin S., Smith, William S., and Shao, Xuan-Min. Mon . "Corrections to the General (2,4) and (4,4) FDTD Schemes". United States. doi:10.2172/1418786. https://www.osti.gov/servlets/purl/1418786.
@article{osti_1418786,
title = {Corrections to the General (2,4) and (4,4) FDTD Schemes},
author = {Meierbachtol, Collin S. and Smith, William S. and Shao, Xuan-Min},
abstractNote = {The sampling weights associated with two general higher order FDTD schemes were derived by Smith, et al. and published in a IEEE Transactions on Antennas and Propagation article in 2012. Inconsistencies between governing equations and their resulting solutions were discovered within the article. In an effort to track down the root cause of these inconsistencies, the full three-dimensional, higher order FDTD dispersion relation was re-derived using MathematicaTM. During this process, two errors were identi ed in the article. Both errors are highlighted in this document. The corrected sampling weights are also provided. Finally, the original stability limits provided for both schemes are corrected, and presented in a more precise form. It is recommended any future implementations of the two general higher order schemes provided in the Smith, et al. 2012 article should instead use the sampling weights and stability conditions listed in this document.},
doi = {10.2172/1418786},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Jan 29 00:00:00 EST 2018},
month = {Mon Jan 29 00:00:00 EST 2018}
}

Technical Report:

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