![](/images/graphics-bg.png)
Fractional Calculus-Based Modeling of Electromagnetic Field Propagation in Arbitrary Biological Tissue
Joint Authors
Caratelli, Diego
Mescia, Luciano
Bia, Pietro
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-05
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The interaction of electromagnetic fields and biological tissues has become a topic of increasing interest for new research activities in bioelectrics, a new interdisciplinary field combining knowledge of electromagnetic theory, modeling, and simulations, physics, material science, cell biology, and medicine.
In particular, the feasibility of pulsed electromagnetic fields in RF and mm-wave frequency range has been investigated with the objective to discover new noninvasive techniques in healthcare.
The aim of this contribution is to illustrate a novel Finite-Difference Time-Domain (FDTD) scheme for simulating electromagnetic pulse propagation in arbitrary dispersive biological media.
The proposed method is based on the fractional calculus theory and a general series expansion of the permittivity function.
The spatial dispersion effects are taken into account, too.
The resulting formulation is explicit, it has a second-order accuracy, and the need for additional storage variables is minimal.
The comparison between simulation results and those evaluated by using an analytical method based on the Fourier transformation demonstrates the accuracy and effectiveness of the developed FDTD model.
Five numerical examples showing the plane wave propagation in a variety of dispersive media are examined.
American Psychological Association (APA)
Bia, Pietro& Mescia, Luciano& Caratelli, Diego. 2016. Fractional Calculus-Based Modeling of Electromagnetic Field Propagation in Arbitrary Biological Tissue. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1112343
Modern Language Association (MLA)
Bia, Pietro…[et al.]. Fractional Calculus-Based Modeling of Electromagnetic Field Propagation in Arbitrary Biological Tissue. Mathematical Problems in Engineering No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1112343
American Medical Association (AMA)
Bia, Pietro& Mescia, Luciano& Caratelli, Diego. Fractional Calculus-Based Modeling of Electromagnetic Field Propagation in Arbitrary Biological Tissue. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1112343
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112343