Numerical Modeling of Wave Propagation in Dispersive Medium with Fractional Derivative Operator


ŞAHİN ŞENER Ü., Eker S.

2026 International Applied Computational Electromagnetics Society Symposium, ACES-Greece 2026, Thessaloniki, Yunanistan, 24 - 27 Mayıs 2026, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: Thessaloniki
  • Basıldığı Ülke: Yunanistan
  • Kırklareli Üniversitesi Adresli: Evet

Özet

Classical FDTD methods are insufficient for modeling wave propagation in heterogeneous media such as concrete and in environments with high water content such as biological tissues. The CF operator uses exponential and ABC operators with Mittag-Leffler kernels. These kernels are non-singular, so the numerical jumps and instabilities that occur at the start of a classical FDTD simulation are prevented by these operators. The Caputo-Fabrizio (CF) operator (non-singular kernel) and Atangana-Baleanu (ABC) operators are widely used to model wave propagation in dispersive media and successfully model wave propagation in the media mentioned.