Classification of Material and Type of Ellipsoid based on the First Order Polarization Tensor

The terminology polarization tensor (PT) has many useful practical applications especially in electrics and electromagnetics. In this case, it must be firstly determined by some appropriate methods. Besides, understanding some properties of the PT might also be very useful in order to apply it. In t...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. Conference series 2018-11, Vol.1123 (1), p.12035
Main Authors: Khairuddin, TK Ahmad, Yunos, N Mohamad, Lionheart, WRB
Format: Article
Language:English
Subjects:
Classification
Ellipsoids
Mathematical analysis
Matrices (mathematics)
Polarization
Tensors
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The terminology polarization tensor (PT) has many useful practical applications especially in electrics and electromagnetics. In this case, it must be firstly determined by some appropriate methods. Besides, understanding some properties of the PT might also be very useful in order to apply it. In this study, we investigate the first order PT for ellipsoids to determine its material and type based on the PT. First of all, we show that the first order PT for ellipsoid is a nonzero matrix. After that, we prove that, instead of classifying the first order PT for ellipsoid by the material of the ellipsoid, we can also classify the conductivity and the material of the ellipsoid by determining whether the first order PT for ellipsoid is either positive or negative definite matrix. After that, by further investigating the first order PT for the ellipsoid, we can classify the semi principal axes of the ellipsoid according to the elements of its first order PT.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1123/1/012035