FDTD modeling of biological tissues coleCole dispersion for 0.530 GHz using relaxation time distribution samplesNovel and improved implementations

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Abstract

In this paper, novel finite-difference time-domain implementations of the ColeCole dispersion model for biological tissues, from 0.5 to 30 GHz, based on the sampling of the distribution of relaxation time, and the convolution integral formulation, are provided and verified. Moreover, shortcomings of the original relaxation time sampling implementation, with polarization formulation, were identified, and the improved polarization implementation is provided as well. These implementations are compared with the implementation utilizing the fractional derivative formulation. All compared implementations require storing the electric field and some related auxiliary quantities for only the previous time step. It is observed that, for a single-term ColeCole relation, relaxation time sampling implementations can provide accuracy, storage requirement, and simulation time comparable to the ones for the fractional derivative implementation. However, the latter does not exist for the more general multiterm ColeCole dispersion relation, for which the implementations based on the relaxation time sampling could be easily extended to.

Original languageEnglish (US)
Article number5247024
Pages (from-to)2588-2596
Number of pages9
JournalIEEE Transactions on Microwave Theory and Techniques
Volume57
Issue number10
DOIs
StatePublished - Oct 1 2009

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finite difference time domain method
Relaxation time
relaxation time
sampling
Tissue
Sampling
formulations
Polarization
Derivatives
polarization
Convolution
convolution integrals
Electric fields
requirements
electric fields
simulation

All Science Journal Classification (ASJC) codes

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

Cite this

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abstract = "In this paper, novel finite-difference time-domain implementations of the ColeCole dispersion model for biological tissues, from 0.5 to 30 GHz, based on the sampling of the distribution of relaxation time, and the convolution integral formulation, are provided and verified. Moreover, shortcomings of the original relaxation time sampling implementation, with polarization formulation, were identified, and the improved polarization implementation is provided as well. These implementations are compared with the implementation utilizing the fractional derivative formulation. All compared implementations require storing the electric field and some related auxiliary quantities for only the previous time step. It is observed that, for a single-term ColeCole relation, relaxation time sampling implementations can provide accuracy, storage requirement, and simulation time comparable to the ones for the fractional derivative implementation. However, the latter does not exist for the more general multiterm ColeCole dispersion relation, for which the implementations based on the relaxation time sampling could be easily extended to.",
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