electric dipole with an electric dipole moment $\bm{p}=\alpha_{EE}\bm{E}$ that is proportional to the driving electric field $\bm{E}$. The proportionality constant is the polarizability $\alpha_{EE}$. In this paper, we derive a generalized point scattering theory for metamaterials that includes a magnetic dipole moment $\bm{m}$ on an equal footing with the electric dipole moment $\bm{p}$. In the most general case, the electric dipole moment $\bm{p}$ and magnetic dipole moments $\bm{m}$ are induced by both the external electric and magnetic fields $\bm{E}$ and $\bm{H}$ according to $$\left(
\begin{array} {c}
\bm{p}\\
\bm{m}
\end{array}\right)
=\boldsymbol{\alpha} \left(
\begin{array} {c}
\bm{E}_{\mathrm{in}}\\
\bm{H}_{\mathrm{in}}
\end{array}\right).
\label{Eq:polarizdef}$$ Throughout this paper we suppress harmonic time dependence $e^{-i\omega t}$. We use a rationalized unit system that significantly simplifies all equations and is fully explained in Appendix \[appendix\]. In Eq. (\[Eq:polarizdef\]), $\boldsymbol{\alpha}$ is a 6$\times$6 polarizability tensor, which consists of four 3$\times$3 blocks, each of which describes part of the dipole response to the electric or magnetic component of the incident light $$\boldsymbol{\alpha}=
 \left(
 \begin{array}{c c}
 \boldsymbol{\alpha}_{EE} & \boldsymbol{\alpha}_{EH}\\
 \boldsymbol{\alpha}_{HE} &
 \boldsymbol{\alpha}_{HH}
\end{array} \right).
\label{Eq:splitpolariz}$$ Here, $\boldsymbol{\alpha}_{EE}$ quantifies the electric dipole induced by an applied electric field. The tensorial nature of $\boldsymbol{\alpha}_{EE}$ is well appreciated in scattering theory for anisotropic particles, such as 