Fractional-Calculus-Based FDTD Algorithm for Ultrawideband Electromagnetic Characterization of Arbitrary Dispersive Dielectric Materials

Diego Caratelli, Luciano Mescia, Pietro Bia, Oleg V. Stukach

Research output: Contribution to journalArticle

24 Citations (Scopus)


A novel finite-difference time-domain algorithm for modeling ultrawideband electromagnetic pulse propagation in arbitrary multirelaxed dispersive media is presented. The proposed scheme is based on a general, yet computationally efficient, series representation of the fractional derivative operators associated with the permittivity functions describing the frequency dispersion properties of a given dielectric material. Dedicated uniaxial perfectly matched layer boundary conditions are derived and implemented in combination with the basic time-marching scheme. Moreover, a total field/scattered field formulation is adopted in order to analyze the material response under plane-wave excitation. Compared with alternative numerical methodologies available in the scientific literature, the proposed technique features a significantly enhanced accuracy in the solution of complex electromagnetic propagation problems involving higher order dispersive dielectrics, such as the ones typically encountered in geoscience and bioengineering applications.

Original languageEnglish
Article number7486999
Pages (from-to)3533-3544
Number of pages12
JournalIEEE Transactions on Antennas and Propagation
Issue number8
Publication statusPublished - 1 Aug 2016



  • Dielectric relaxation
  • dispersive media
  • enhanced weighted quantum particle swarm optimization (EWQPSO)
  • finite-difference time domain (FDTD)
  • fractional calculus

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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