In this paper, an accurate finitedifference time-domain (FDTD) scheme is proposed for studying electromagnetic pulse propagation in Havriliak-Negami dispersive medium. In traditional FDTD methods, the main drawback occurring in the evaluation of the propagation in a general dispersive media is the approximation of the fractional derivatives appearing in the time-domain permittivity model. In order to face this problem, in this paper we illustrate a FDTD scheme based on the direct solving of the time-domain Maxwell equations by using the Riemann-Liouville operator of fractional differentiation. The feasibility of the proposed method is demonstrated by simulating the transient wave propagation in general bulk and slab dispersive materials.
In this paper, an accurate finitedifference time-domain (FDTD) scheme is proposed for studying electromagnetic pulse propagation in Havriliak-Negami dispersive medium. In traditional FDTD methods, the main drawback occurring in the evaluation of the propagation in a general dispersive media is the approximation of the fractional derivatives appearing in the time-domain permittivity model. In order to face this problem, in this paper we illustrate a FDTD scheme based on the direct solving of the time-domain Maxwell equations by using the Riemann-Liouville operator of fractional differentiation. The feasibility of the proposed method is demonstrated by simulating the transient wave propagation in general bulk and slab dispersive materials.
Fractional-Order Modeling of Transient Wawe Propagation in Ha vriliak-Negami Based Dispersive Biological Tissues / Luciano, Mescia; Diego, Caratelli; Pietro, Bia; Cicchetti, Renato; Guido, Maione; Francesco, Prudenzano. - STAMPA. - 1:(2013), pp. 1-5. (Intervento presentato al convegno International Conference on Fractional Signals and Systems 2013 tenutosi a Ghent, Belgio nel 24 – 26 October 2013).
Fractional-Order Modeling of Transient Wawe Propagation in Ha vriliak-Negami Based Dispersive Biological Tissues
CICCHETTI, Renato;
2013
Abstract
In this paper, an accurate finitedifference time-domain (FDTD) scheme is proposed for studying electromagnetic pulse propagation in Havriliak-Negami dispersive medium. In traditional FDTD methods, the main drawback occurring in the evaluation of the propagation in a general dispersive media is the approximation of the fractional derivatives appearing in the time-domain permittivity model. In order to face this problem, in this paper we illustrate a FDTD scheme based on the direct solving of the time-domain Maxwell equations by using the Riemann-Liouville operator of fractional differentiation. The feasibility of the proposed method is demonstrated by simulating the transient wave propagation in general bulk and slab dispersive materials.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
