Title :
A New FDTD Formulation for Wave Propagation in Biological Media With Cole–Cole Model
Author :
Guo, Bin ; Li, Jian ; Zmuda, Henry
Author_Institution :
Dept. of Electr. & Comput. Eng., Florida Univ., Gainesville, FL
Abstract :
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
Keywords :
biological effects of fields; biological tissues; dielectric properties; electromagnetic wave propagation; finite difference time-domain analysis; Cole-Cole model; FDTD formulation; Z-transform; biological media; dispersive biological tissues; electromagnetic wave propagation; finite-difference time-domain method; fractional order differentiators; frequency dependent dielectric properties; least-squares fitting method; Biological system modeling; Biological tissues; Dielectrics; Dispersion; Electromagnetic modeling; Electromagnetic propagation; Finite difference methods; Frequency dependence; Polynomials; Time domain analysis; $Z$-transform; Cole–Cole model; finite-difference time-domain (FDTD) methods; least-squares (LS) fitting method;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2006.885583
