Magnetooptics of higher order in magnetization

The magnetooptic Kerr effect (MOKE) is often considered to be proportional to magnetization direction. However MOKE may also depend on higher orders in magnetization direction, such as quadratic or cubic MOKE. There are two distinct contributions to higher order MOKE, (i) the relation between material permittivity and material magnetization direction, described by magnetooptic tensors of higher orders, G
ijkl
, H
ijklm
(material property) and (ii) the relation between the permittivity and MOKE (optical property). Here, we present spectral investigation of quadratic MOKE on Fe and Co
2
MnSi, and investigation of cubic MOKE on Ni(111).