  The influence of the non-collinear magnetic configuration on Friedel is
investigated theoretically. Specifically the influence of the magnetic
configuration on the induced electric charge in a N\'{e}el type domain wall
(DW) has been obtained. The well-known Levy and Zhang eigenstates for a linear
DW have been employed. Then the dielectric function of this magnetic system has
been obtained within the random phase approximation. Results of the current
work demonstrated that magnetic configuration of the system manifests itself in
the electric properties such as induced charge distribution. Meanwhile the
anisotropy of the induced charge distribution in the real space provides a
measurable way for the determination of the DW orientation. In addition
anisotropy of the dielectric function in k-space arises as a result of the
anisotropy of the magnetic configuration. Therefore the orientation of the
magnetic DW could also be captured by full optical measurements.
