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Fitting the first order PT by spheroid: a semi analytical approach

Polarization Tensor (PT) has many applications in science and engineering. It can be used to improve reconstruction of image in medical imaging, improve metal detection for security screening or landmine clearance and also to study electrosensing fish. In some applications, it is useful to determine...

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Main Authors: Khairuddin, T. K. A., Yunos, N. M., Shafie, S.
Format: Conference or Workshop Item
Published: 2019
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/91803/
http://www.dx.doi.org/10.1063/1.5136491
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spelling my.utm.918032021-07-28T08:47:37Z http://eprints.utm.my/id/eprint/91803/ Fitting the first order PT by spheroid: a semi analytical approach Khairuddin, T. K. A. Yunos, N. M. Shafie, S. QA Mathematics Polarization Tensor (PT) has many applications in science and engineering. It can be used to improve reconstruction of image in medical imaging, improve metal detection for security screening or landmine clearance and also to study electrosensing fish. In some applications, it is useful to determine an ellipsoid that has the same PT with some other objects and this is possible because the explicit formula of the PT for ellipsoid can be set equal to some given PT and then solve to obtain all three axes of the ellipsoid. Therefore, in this study, based on a given first order PT, we will discuss a new method to determine the two distinct semi axes of a spheroid (an ellipsoid with two equal axes) so that the first order PT for the spheroid is similar to the given first order PT. In order to achieve this, we rely on some results about the depolarization factors for ellipsoid established in our previous study. Our new proposed method has suggested that the semi axes of the spheroid can be determined almost analytically from the explicit formula of the semi axes derived from the first order PT for spheroid where, a few examples have also been given here. The numerical results in the examples have also shown that the first order PT for a few spheroids computed based on the values of the semi axes are similar to the original given first order PT. 2019 Conference or Workshop Item PeerReviewed Khairuddin, T. K. A. and Yunos, N. M. and Shafie, S. (2019) Fitting the first order PT by spheroid: a semi analytical approach. In: 1st International Conference on Mathematical Sciences and Technology 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation, MathTech 2018, 10-12 Dec 2018, Penang, Malaysia. http://www.dx.doi.org/10.1063/1.5136491
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Khairuddin, T. K. A.
Yunos, N. M.
Shafie, S.
Fitting the first order PT by spheroid: a semi analytical approach
description Polarization Tensor (PT) has many applications in science and engineering. It can be used to improve reconstruction of image in medical imaging, improve metal detection for security screening or landmine clearance and also to study electrosensing fish. In some applications, it is useful to determine an ellipsoid that has the same PT with some other objects and this is possible because the explicit formula of the PT for ellipsoid can be set equal to some given PT and then solve to obtain all three axes of the ellipsoid. Therefore, in this study, based on a given first order PT, we will discuss a new method to determine the two distinct semi axes of a spheroid (an ellipsoid with two equal axes) so that the first order PT for the spheroid is similar to the given first order PT. In order to achieve this, we rely on some results about the depolarization factors for ellipsoid established in our previous study. Our new proposed method has suggested that the semi axes of the spheroid can be determined almost analytically from the explicit formula of the semi axes derived from the first order PT for spheroid where, a few examples have also been given here. The numerical results in the examples have also shown that the first order PT for a few spheroids computed based on the values of the semi axes are similar to the original given first order PT.
format Conference or Workshop Item
author Khairuddin, T. K. A.
Yunos, N. M.
Shafie, S.
author_facet Khairuddin, T. K. A.
Yunos, N. M.
Shafie, S.
author_sort Khairuddin, T. K. A.
title Fitting the first order PT by spheroid: a semi analytical approach
title_short Fitting the first order PT by spheroid: a semi analytical approach
title_full Fitting the first order PT by spheroid: a semi analytical approach
title_fullStr Fitting the first order PT by spheroid: a semi analytical approach
title_full_unstemmed Fitting the first order PT by spheroid: a semi analytical approach
title_sort fitting the first order pt by spheroid: a semi analytical approach
publishDate 2019
url http://eprints.utm.my/id/eprint/91803/
http://www.dx.doi.org/10.1063/1.5136491
_version_ 1706956996281892864
score 13.211869

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