Polarization tensor : between biology and engineering

There has been a lot of interest over recent years in the study of mathematical aspects and applications of the polarization tensor. This promising terminology appears widely in electric and electromagnetic inverse problems. Our main purpose in this paper then is to review the polarization tensor biologically in electro-sensing by a weakly electric fish and in the engineering problems which are based on the Eddy current principle. Here, the mathematical formulations of the polarization tensor for both cases are firstly presented. At the same time, a few related applications will also be briefly explained