Spheroidal First Order Polarization Tensor (SFOPT) Toolkit

Abstract

The polarization tensor (PT) has been utilized in numerous applications involving electric and electromagnetic fields, such as metal detection, landmine detection, and electrical imaging. In these applications, the PT is implemented in the process of identifying object, where the object can be represented in the form of the first order PT. Thus, it is crucial to have an application that provides easy access to calculate the first order PT for the object. However, the existing application in the literature has some limitations, focusing solely on computing the first order PT for a prolate spheroid with semi axes  and an oblate spheroid with semi axes . Therefore, the purpose of this study is to invent a graphical user interface (GUI) for the Spheroidal First Order Polarization Tensor (SFOPT) Toolkit which facilitates efficient computations and visualizations related to spheroids. The SFOPT Toolkit will be developed by using App Designer in MATLAB. The SFOPT interface integrates four essential functions: computation of the first order PT for a spheroid, classification of spheroidal types, three-dimensional visualization of spheroids, and determination of semi axes from the computed first order PT. Through illustrative examples, we demonstrate the effectiveness and versatility of the SFOPT framework, offering insights into its practical utility and potential applications in diverse fields. The reliability of the toolkit is also presented, and the findings shows the error of computations are small. The toolkit is a user-friendly application since the users can easily access it by downloading the application instead of running the coding themselves. Moreover, this toolkit can be a reference for researchers to compute the first order PT for a spheroid and determine the semi axes (size) of the spheroid from the given first order PT.