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

被引：37
|
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.
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页码：3666 / 3674
页数：9
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