# Mathematical framework for current density imaging due to discharge of electro-muscular disruption devices

Jeehyun Lee; Jin Keun Seo; Eung Je Woo

ESAIM: Mathematical Modelling and Numerical Analysis (2007)

- Volume: 41, Issue: 3, page 447-459
- ISSN: 0764-583X

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topLee, Jeehyun, Seo, Jin Keun, and Woo, Eung Je. "Mathematical framework for current density imaging due to discharge of electro-muscular disruption devices." ESAIM: Mathematical Modelling and Numerical Analysis 41.3 (2007): 447-459. <http://eudml.org/doc/250066>.

@article{Lee2007,

abstract = {
Electro-muscular disruption (EMD) devices such as TASER M26 and
X26 have been used as a less-than-lethal weapon. Such EMD devices
shoot a pair of darts toward an intended target to generate an
incapacitating electrical shock. In the use of the EMD device,
there have been controversial questions about its safety and
effectiveness. To address these questions, we need to investigate
the distribution of the current density J inside the target
produced by the EMD device. One approach is to develop a
computational model providing a quantitative and reliable analysis
about the distribution of J. In this paper, we set up a
mathematical model of a typical EMD shock, bearing in mind that we
are aiming to compute the current density distribution inside the
human body with a pair of inserted darts. The safety issue of
TASER is directly related to the magnitude of |J| at the region
of the darts where the current density J is highly
concentrated. Hence, fine computation of J near the dart is
essential. For such numerical simulations, serious computational
difficulties are encountered in dealing with the darts having two
different very sharp corners, tip of needle and tip of barb. The
boundary of a small fishhook-shaped dart inside a large
computational domain and the presence of corner singularities
require a very fine mesh leading to a formidable amount of
numerical computations. To circumvent these difficulties, we
developed a multiple point source method of computing J. It has
a potential to provide effective analysis and more accurate
estimate of J near fishhook-shaped darts. Numerical experiments
show that the MPSM is just fit for the study of EMD shocks.
},

author = {Lee, Jeehyun, Seo, Jin Keun, Woo, Eung Je},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Electro-muscular disruption (EMD) device;
electrical current density; Maxwell equations; non-smooth
boundary; elliptic partial differential equations; corner
singularity.},

language = {eng},

month = {8},

number = {3},

pages = {447-459},

publisher = {EDP Sciences},

title = {Mathematical framework for current density imaging due to discharge of electro-muscular disruption devices},

url = {http://eudml.org/doc/250066},

volume = {41},

year = {2007},

}

TY - JOUR

AU - Lee, Jeehyun

AU - Seo, Jin Keun

AU - Woo, Eung Je

TI - Mathematical framework for current density imaging due to discharge of electro-muscular disruption devices

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2007/8//

PB - EDP Sciences

VL - 41

IS - 3

SP - 447

EP - 459

AB -
Electro-muscular disruption (EMD) devices such as TASER M26 and
X26 have been used as a less-than-lethal weapon. Such EMD devices
shoot a pair of darts toward an intended target to generate an
incapacitating electrical shock. In the use of the EMD device,
there have been controversial questions about its safety and
effectiveness. To address these questions, we need to investigate
the distribution of the current density J inside the target
produced by the EMD device. One approach is to develop a
computational model providing a quantitative and reliable analysis
about the distribution of J. In this paper, we set up a
mathematical model of a typical EMD shock, bearing in mind that we
are aiming to compute the current density distribution inside the
human body with a pair of inserted darts. The safety issue of
TASER is directly related to the magnitude of |J| at the region
of the darts where the current density J is highly
concentrated. Hence, fine computation of J near the dart is
essential. For such numerical simulations, serious computational
difficulties are encountered in dealing with the darts having two
different very sharp corners, tip of needle and tip of barb. The
boundary of a small fishhook-shaped dart inside a large
computational domain and the presence of corner singularities
require a very fine mesh leading to a formidable amount of
numerical computations. To circumvent these difficulties, we
developed a multiple point source method of computing J. It has
a potential to provide effective analysis and more accurate
estimate of J near fishhook-shaped darts. Numerical experiments
show that the MPSM is just fit for the study of EMD shocks.

LA - eng

KW - Electro-muscular disruption (EMD) device;
electrical current density; Maxwell equations; non-smooth
boundary; elliptic partial differential equations; corner
singularity.

UR - http://eudml.org/doc/250066

ER -

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