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

Ergül Ö., Aksoy S., ÖZAKIN M. B.

IEEE Antennas and Propagation Magazine, cilt.56, sa.1, ss.293-299, 2014 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 56 Sayı: 1
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1109/map.2014.6821801
  • Dergi Adı: IEEE Antennas and Propagation Magazine
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.293-299
  • Anahtar Kelimeler: Amplification factor, dispersion, finite difference time domain, stability analysis, stability criteria
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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. © 1990-2011 IEEE.