An Updated Review of General Dispersion Relation for Conditionally and Unconditionally Stable FDTD Algorithms

@article{Ogurtsov2008AnUR,
  title={An Updated Review of General Dispersion Relation for Conditionally and Unconditionally Stable FDTD Algorithms},
  author={Sergei V. Ogurtsov and Guangwen Pan},
  journal={IEEE Transactions on Antennas and Propagation},
  year={2008},
  volume={56},
  pages={2572-2583}
}
We present a general numerical dispersion equation which is applicable to all known conditionally and unconditionally stable finite-difference time-domain (FDTD) algorithms on staggered rectangular grid, including Yee's FDTD, wavelet-based FDTD, extended curl FDTD, alternating direction implicit (ADI)-FDTD, Crank-Nicolson (CN)-FDTD, Crank-Nicolson split-step (CNSS)-FDTD, and their modifications of higher order spatial stencils. The real part of the complex eigenvalue of the total amplification… CONTINUE READING
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