An Auxiliary Differential Equation Method for FDTD Modeling of Wave Propagation in Cole-Cole Dispersive Media

被引：40
作者：
Rekanos, Ioannis T. [1 ]
Papadopoulos, Theseus G. [1 ]
机构：
[1] Aristotle Univ Thessaloniki, Sch Engn, Div Phys, GR-54124 Thessaloniki, Greece
来源：
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2010年 / 58卷 / 11期
关键词：
Finite-difference time-domain (FDTD); Cole-Cole model; Pade approximation; dispersive media; DIELECTRIC-PROPERTIES; FINITE-DIFFERENCE; FORMULATION;
D O I：
10.1109/TAP.2010.2071365
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A method for modeling time-domain wave propagation in dispersive Cole-Cole media is presented. The Cole-Cole model can describe the frequency dependence of the electromagnetic properties of various biological tissues with great accuracy over a wide frequency range and plays a key role in microwave medical imaging. The main difficulty in the time-domain modeling of Cole-Cole media is the appearance of fractional time derivatives. In the proposed method a Pade approximation is employed resulting in auxiliary differential equations of integer order. A finite-difference time-domain method is developed to solve the differential equations obtained. The comparison of analytical and calculated relative complex permittivity values over wideband frequency domain proves the validity of the method.
引用
收藏
页码：3666 / 3674
页数：9
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