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

Volume

63

Issue

12

fYear

2015

Firstpage

4188

Lastpage

4190

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;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2015.2495200

Filename

7321065