A New FDTD Formulation for Wave Propagation in Biological Media With Cole–Cole Model
A New FDTD Formulation for Wave Propagation in Biological Media With Cole–Cole Model
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DOI：
10.1109/lmwc.2006.885583
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发表时间：
2006-12
影响因子：
3
通讯作者：
Bingtuo Guo;Jian Li;H. Zmuda
中科院分区：
文献类型：
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作者：
Bingtuo Guo;Jian Li;H. Zmuda
时域有限差分法（FDTD）已被广泛用于模拟电磁波在生物组织中的传播。Cole-Cole模型是一种可以在很宽的频带内准确描述多种生物组织的公式。然而，由于模型中存在分数阶微分，使用时域有限差分方法实现Cole-Cole模型是困难的。本文提出了一种新的时域有限差分公式，用于用Cole-Cole模型模拟电磁波在色散生物组织中的传播。z变换用于表示频率相关的介电特性。分数阶微分函数在Cole-Cole模型中被近似为一个多项式。用最小二乘拟合方法求出多项式的系数
The finite-difference time-domain (FDTD) method has been widely used to simulate the electromagnetic wave propagation in biological tissues. The Cole-Cole model is a formulation which can describe many types of biological tissues accurately over a very wide frequency band. However, the implementation of the Cole-Cole model using the FDTD method is difficult because of the fractional order differentiators in the model. In this letter, a new FDTD formulation is presented for the modeling of electromagnetic wave propagation in dispersive biological tissues with the Cole-Cole model. The Z-transform is used to represent the frequency dependent dielectric properties. The fractional order differentiators in the Cole-Cole model is approximated by a polynomial. The coefficients of the polynomial are found using a least-squares fitting method