Volume integral equations for permeable structures

This paper deals with the derivation and validation of volume integral equations for modeling the scattering by volumes having non-trivial permittivity and permeability. The derived volume integral equation involves a single unknown (the electric or magnetic field). The goal is to demonstrate that no surface integral is needed at the boundaries where the permittivity and/or permeability are discontinuous. Although comparisons are given with the FE-BI method, there is no claim on the efficiency of either method. The quoted FE-BI results are given only for validation purposes.