A matlab gui for the first order polarization tensor of rotated spheroids

When a conducting object presents in an electric or electromagnetic field, the perturbation on the field due to the presence of the object can be mathematically modelled as an asymptotic series, where, the dominant term of the series is called as 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, as well as, to enhance metal detection for security screening or landmine clearance. Besides, PT also appears in neuroscience after some researchers have used PT to study object recognition from electrical sense by electric fish. For each application, the PT might able to describe some physical properties of the presented object such as the size, material or orientation of the object. In this study, the PT, specifically the first order PT, when the conducting object is a spheroid, will be presented. First of all, given the conductivity and all semi axes of the spheroid, a method to determine the first order PT for the spheroid will be discussed. Then, 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 the actual objects. With the proposed GUI, the first order PT for any spheroid can be computed when the size and the conductivity that represents the material of the spheroid are specified. Not only that, if the spheroid is rotated around the vertical axis, the GUI is also able to compute the related first order PT if the angle of rotation is given. Finally, some examples will be also included in this study to demonstrate the capability of the recent developed GUI.