Abstract
A two-stage simple and accurate methodology is presented for the dispersion error minimization of parameter-dependent finite-difference time-domain schemes over a useful bandwidth. The methodology is rigorously developed for both 2-D and 3-D schemes. First, the anisotropy error is treated by expanding the spatial part of the numerical dispersion relation in a cosine-Fourier series, and eliminating the contribution of the angle-dependent terms. The dispersion error is then corrected by employing a modified single-frequency accurate temporal finite-difference operator. This modification can be translated into the parameters of the updating equations, which greatly simplifies its programming. The theoretically derived results are further supported by numerical experiments.
Original language | English (US) |
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Article number | 4488212 |
Pages (from-to) | 1125-1136 |
Number of pages | 12 |
Journal | IEEE Transactions on Microwave Theory and Techniques |
Volume | 56 |
Issue number | 5 |
DOIs | |
State | Published - May 2008 |
Keywords
- Anisotropy
- Dispersion
- Extended curl
- Finite-difference time-domain (FDTD) method
- Group velocity
- Microwave filter
- Phase velocity
- Waveguide
ASJC Scopus subject areas
- Radiation
- Condensed Matter Physics
- Electrical and Electronic Engineering