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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Abdullah, H.H. Elsadek, H.A. ElDeeb, H.E. Bagherzadeh, N. |
| Copyright Year | 2002 |
| Abstract | A finite-difference time-domain (FDTD) modeling of the wave propagation in a Cole-Cole dispersive media is presented. Since the empirical Debye and Lorentz models are not accurate for the representation of the frequency dependence of some dispersive media terms, the Cole-Cole dispersion relation was used to model the electromagnetic properties of biological tissues. The main problem in time-domain modeling of the Cole-Cole model is the approximation of the fractional derivatives that appear in the model equation. Researchers face this problem by approximating the Cole-Cole terms (poles) by a sum of Debye terms or by a sum of decaying exponentials or by polynomials. The accuracy of these models depends on the number of terms needed to model each Cole-Cole term, which may consume large amounts of time and memory. In this letter, all the FDTD fields are approximated by a linear function of time that has a closed form for its fractional derivative. The proposed scheme is considered the more general scheme that has the capability to model nth-order Debye and Cole-Cole models. The scheme is a straightforward extension that can deal with other models such as Lorenz, Drude, and the chiral media. Promising results are observed when calculating the reflection coefficient at an air/muscle material interface. The SAR distribution within a Cole-Cole equivalent brain spherical material excited by an infinitesimal dipole is calculated and compared to the normal FDTD at 900 MHz. |
| Sponsorship | IEEE Antennas and Propagation Society |
| Starting Page | 281 |
| Ending Page | 284 |
| Page Count | 4 |
| File Size | 607949 |
| File Format | |
| ISSN | 15361225 |
| Volume Number | 11 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2012-01-01 |
| Publisher Place | U.S.A. |
| Access Restriction | One Nation One Subscription (ONOS) |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Finite difference methods Mathematical model Time domain analysis Dispersion Media Linear approximation fractional derivatives Cole–Cole model dispersive media finite-difference time domain (FDTD) |
| Content Type | Text |
| Resource Type | Article |
| Subject | Electrical and Electronic Engineering |
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