  In this article, we derive a magnetic dipole model for two identical,
electrically conducting, and permeable spheres that are exposed to an
oscillating homogeneous magnetic field. Our model predicts both amplitude and
phase of the induced field outside the spheres. The description is provided for
parallel and transverse excitation relative to the axis through the sphere
centers. This geometric decomposition allows the application of arbitrary
excitation field directions. Our approach is based on one dipole per sphere.
The origins of these secondary dipole fields are proposed to be found at
positions slightly displaced from the sphere centers to consider the mutual
interaction. This displacement and the resulting phase of the dipole moments
strongly depend on the distance between the spheres as well as on
complex-valued first and second order response factors, which contain material
properties and the oscillation frequency. We demonstrate the usefulness of our
displaced dipole model in terms of efficiency and accuracy compared to other
computationally simple approaches.
