This chapter considers the properties of the quasi-magnetostatic scattering from permeable and highly conducting scatterers in terms of the magnetic-polarizability dyadic. The natural frequencies are negative real and serve as identifiers of target type. The symmetric dyads which characterize the residues of the first-order poles are comprised of real vectors which give the target aspect. In geophysical exploration for large underground ore deposits, low-frequency magnetic fields, including pulses with large low-frequency components, are often used. One can integrate over these current densities using a scalar free-space Green’s function to form electric and magnetic vector potentials and, similarly, for the scalar potentials. A nonmagnetic target has no DC magnetic polarizability. This property is a target discriminant. The presence of a nonzero magnetic-polarizability dyadic implies a target which includes magnetic materials. The foregoing scattered near fields are for a general combination of incident fields, including a plane wave.