PROJECT TITLE :

Understanding the Magnetic Polarizability Tensor

ABSTRACT:

The aim of this paper is to provide new insights into the properties of the rank two polarizability tensor proposed by Ledger and Lionheart for describing the perturbation within the magnetic field caused by the presence of a conducting object within the eddy-current regime. In particular, we have a tendency to explore its affiliation with the magnetic polarizability tensor and the Pólya–Szegö tensor and how, by introducing new splittings of , they type a family of rank 2 tensors for describing the response from different categories of conducting (permeable) objects. We have a tendency to embrace new bounds on the invariants of the Pólya–Szegö tensor and expressions for the low-frequency and high-conductivity limiting coefficients of . We tend to show, for the high-conductivity case (and for frequencies at the limit of the quasi-static approximation), that it's vital to consider whether the thing is merely or multiply connected however, for the low-frequency case, the coefficients are freelance of the connectedness of the article. Furthermore, we have a tendency to explore the frequency response of the coefficients of for a range of merely and multiply connected objects.