Use of the z-transform to investigate nanopulse penetration of biological matter

Short duration, fast rise time electromagnetic ultra‐wideband (UWB) pulses (“nanopulses”) are generated by numerous electronic devices. Many new technologies involving nanopulses are under development and expected to become widely available soon. Study of nanopulse bioeffects therefore is needed to...

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Bibliographic Details
Published in:Bioelectromagnetics 2005-07, Vol.26 (5), p.389-397
Main Authors: Su, S., Dai, Weizhong, Haynie, Donald T., Simicevic, N.
Format: Article
Language:English
Subjects:
Algorithms
Animals
Body Burden
Cole-Cole expression
Computer Simulation
Electromagnetic Fields
FDTD
Humans
Maxwell's equations
Models, Biological
Nanotechnology - methods
Relative Biological Effectiveness
Signal Processing, Computer-Assisted
Skin - radiation effects
Skin Physiological Phenomena
ultra-wideband (UWB)
z-transform
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Summary:Short duration, fast rise time electromagnetic ultra‐wideband (UWB) pulses (“nanopulses”) are generated by numerous electronic devices. Many new technologies involving nanopulses are under development and expected to become widely available soon. Study of nanopulse bioeffects therefore is needed to ensure human safety and to probe the useful range of nanopulses in possible biomedical and biotechnological applications. In this article, we present a new approximation of the Cole–Cole expression for the frequency dependence of the dielectric properties of tissues. The approximation is based on a z‐transformation of the electric displacement and a second‐order Taylor approximation of the Cole–Cole expression. The approach has been applied to investigating the penetration of nanopulses into biological matter as a function of the dielectric properties of tissue and pulse width. Solutions to Maxwell's equations are calculated using the finite difference time domain method (FDTD). Bioelectromagnetics 26:389–397, 2005. © 2005 Wiley‐Liss, Inc.
ISSN:0197-8462
1521-186X
DOI:10.1002/bem.20120