Debye Function Expansions of Complex Permittivity Using a Hybrid Particle Swarm-Least Squares Optimization Approach

Kelley, Dave; Destan, T.J.; Luebbers, R.

doi:10.1109/tap.2007.900230

Cited by 74 publications

(77 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Kelley et al [17] proposed an approach to approximate the complex permittivity using the Debye function expansion of the form:…”

Section: Hybrid Particle Swarm-least Squares Algorithmmentioning

confidence: 99%

“…The fitness function used in PSO is the negative of the sum of the squared errors between the imaginary part of the actual (ε a (ω i )) and the calculated (ε c (ω i )) permittivity Kelley et al [17] as:…”

Section: Hybrid Particle Swarm-least Squares Algorithmmentioning

confidence: 99%

“…The accuracy of W-LSM depends highly on the initial value estimation. Kelley et al [17] Genetic algorithms are a powerful optimisation technique inspired by the natural process of evolution; they are particularly useful when the problem has a large search space. The general work flow of the GA involves first producing a random population of possible solutions.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Optimised analytical models of the dielectric properties of biological tissue

Salahuddin

Porter

Krewer

et al. 2017

Medical Engineering & Physics

View full text Add to dashboard Cite

The interaction of electromagnetic fields with the human body is quantified by the dielectric properties of biological tissues. These properties are incorporated into complex numerical simulations using parametric models such as Debye and Cole-Cole, for the computational investigation of electromagnetic wave propagation within the body. These parameters can be acquired through a variety of optimisation algorithms to achieve an accurate fit to measured data sets. A number of different optimisation techniques have been proposed, but these are often limited by the requirement for initial value estimations or by the large overall error (often up to several percentage points). In this work, a novel two-stage genetic algorithm proposed by the authors is applied to optimise the multi-pole Debye parameters for 54 types of human tissues. The performance of the two-stage genetic algorithm has been examined through a comparison with five other existing algorithms.The experimental results demonstrate that the two-stage genetic algorithm produces an accurate fit to a range of experimental data and efficiently outperforms all other optimisation algorithms under consideration. Accurate values of the three-pole Debye models for 54 types of human tissues, over 500 MHz to 20 GHz, are also presented for reference.

show abstract

“…Kelley et al [17] proposed an approach to approximate the complex permittivity using the Debye function expansion of the form:…”

Section: Hybrid Particle Swarm-least Squares Algorithmmentioning

confidence: 99%

Section: Hybrid Particle Swarm-least Squares Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Optimised analytical models of the dielectric properties of biological tissue

Salahuddin

Porter

Krewer

et al. 2017

Medical Engineering & Physics

View full text Add to dashboard Cite

show abstract

“…For example, genetic algorithms have been proposed in v.g. [8], as well as hybrid particle swarm-least squares optimization in [18], for the similar problem of fitting the frequency-dependent permittivity of a dielectric material to a Debye series.…”

Section: Fitting the Dispersion Curvementioning

confidence: 99%

Multiscale modelling of sound propagation through the lung parenchyma

Cazeaux¹,

Hesthaven²

2013

ESAIM: M2AN

View full text Add to dashboard Cite

“…The former approach, followed by a number of authors, consists in modelling the complex relative permittivity and magnetic permeability with a prespecified functional form whose parameters needs to be determined with an optimization procedure. Laurent series can be used for complex relative permittivity and magnetic permeability models (Domich et al (1991)), as well as dispersive laws, such as Havriliak-Negami and its special cases Cole-Cole and Debye to model dielectric relaxation (Kelley et al (2007)), or the Lorentz model for both dielectric and magnetic dispersion (Koledintseva et al (2002)). The Havriliak-Negami model is an empirical modification of the single-pole Debye relaxation model…”

Section: Fitting Proceduresmentioning

confidence: 99%