Corrections to the General Fourth-Order FDTD Schemes

The sampling weights and approximate stability criteria for two general fourth-order accurate FDTD schemes were previously derived by Smith et al. However, inconsistencies between several of their governing equations and corresponding solutions were recently discovered. Upon rederiving the full 3-D,...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2019-01, Vol.67 (1), p.692-693
Main Authors: Meierbachtol, Collin S., Smith, William S., Shao, Xuan-Min
Format: Article
Language:English
Subjects:
Algorithms
Dispersion
FDTD methods
Finite difference methods
Finite difference time domain method
numerical dispersion
Numerical stability
Sampling
Stability analysis
Stability criteria
Time-domain analysis
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Summary:The sampling weights and approximate stability criteria for two general fourth-order accurate FDTD schemes were previously derived by Smith et al. However, inconsistencies between several of their governing equations and corresponding solutions were recently discovered. Upon rederiving the full 3-D, fourth-order FDTD dispersion relation, two separate errors were identified in the original work. This paper details these errors and provides corrected sampling weights. Exact stability criteria are also derived and stated for the first time.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2018.2879978