Title :
Comments on “Fractional Derivative Based FDTD Modeling of Transient Wave Propagation in Havriliak–Negami Media”
Author :
Rekanos, Ioannis T.
Author_Institution :
Sch. of Electr. & Comput. Eng., Aristotle Univ. of Thessaloniki, Thessaloniki, Greece
Abstract :
A finite-difference time-domain (FDTD) scheme for modeling wave propagation in Havriliak-Negami media has been reported in the above paper. The scheme has been based on the approximation of the fractional differential operator by use of truncated binomial series. However, in this letters, it is mentioned that the binomial series approximation is not valid for angular frequencies higher than the characteristic value 1/τ of the medium. As a result, the applicability of the proposed FDTD scheme is limited.
Keywords :
approximation theory; dispersive media; finite difference time-domain analysis; microwave propagation; transient analysis; FDTD modeling; Havriliak-Negami media; angular frequency; finite-difference time-domain scheme; fractional derivative; fractional differential operator; transient wave propagation; truncated binomial series approximation; Approximation methods; Finite difference methods; Media; Microwave theory and techniques; Permittivity; Propagation; Time-domain analysis; Dielectric relation; dispersive media; finite difference time domain (FDTD); fractional calculus;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2015.2495200
