Spheroidal first order polarization tensor (SFOPT) – fixed volume

When a conducting object is presented in an electric or electromagnetic field, the perturbation on the field due to the presence of the object can be mathematically modelled as asymptotic series, where the dominant term of the series is called the Polarization Tensor (PT). In the applications of electric and electronic, PT has been adapted for many purposes such as to improve reconstruction of image in medical scanning and geophysics, or to enhance metal detection for security screening and landmine clearance. Besides, PT also appears in neuroscience after some researchers have used PT to study object recognition from electrical senses by electric fish. For each application, the PT might be able to describe some physical properties of the presented object such as the size, material or orientation of the object. Moreover, finding a spheroid that has the same first order PT as the original object represented by the PT is also useful especially to characterize the object if the object is not known. The spheroid and the object might have similar physical properties where; these properties can be revealed after the spheroid is obtained based on the given first order PT. In this study, given the first order PT of an unknown object, the conductivity and the depolarization factors for a spheroid will be determined by fixing the volume of the spheroid. Specifically, a Matlab GUI that can easily execute the computation will be presented. We focus on spheroids as previous studies have shown that the first order PT for many objects in the related applications are actually similar to the first order PT for the spheroids. Thus, understanding the first order PT for spheroids could be useful to describe those actual objects. Some examples will be included in this study to demonstrate the capability of the GUI.