Open problems in CEM: A new look at the stability analysis of the finite-difference time-domain method

Date

2014-01-01

Author

Ergül, Özgür Salih
Özakın, M. Burak

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The stability analysis of a numerical time-domain method plays a crucial role in well understanding the numerical behavior of the algorithm. The stability analysis should therefore be investigated in all senses. In this work, a new look at the stability analysis of the Finite-Difference Time-Domain Method is given. A novel link is constructed between the numerical-dispersion analysis and the stability analysis by using the sampled values of the unit space and time steps. Unification of these two analyses therefore becomes possible. The stability criterion is extracted in a simple way, and the amplification factor is formulated. The theoretical findings are tested via a numerical experiment. Some open problems in this area are also discussed.

Subject Keywords

Amplification factor, Dispersion, Finite difference time domain, Stability Analysis, Stability criteria

URI

https://hdl.handle.net/11511/39803

Journal

IEEE Antennas and Propagation Magazine

DOI

https://doi.org/10.1109/map.2014.6821801

Collections

Department of Electrical and Electronics Engineering, Article

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Citation Formats

Ö. S. Ergül and M. B. Özakın, “Open problems in CEM: A new look at the stability analysis of the finite-difference time-domain method,” IEEE Antennas and Propagation Magazine, pp. 293–299, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39803.