The nonlinear magneto-optical Ken-effect (NO-LIMOKE) is determined for free
standing Fe monolayers with several in-plane structures from first principl
es. Based on the theory of nonlinear magneto-optics by Hubner and Bennemann
[1] we calculate the nonlinear susceptibilities of the monolayers using th
e ab initio FLAPW-method WIEN95 with the additional implementation of spin-
orbit coupling and the calculation of the dipole transition matrix elements
appropriate for freestanding monolayers. We present results for the spectr
al dependence of the nonlinear susceptibility tensor elements and the resul
ting intensities and Ken angles. Special emphasis is put on the effects of
structural changes, such as the variation of the lattice constant and diffe
rent surface orientations. The influence of spin-orbit coupling on the tens
or elements for different magnetization directions is presented. Also, the
azimuthal dependence of the intensities generated by several low-index surf
aces is given, showing the pronounced sensitivity of second-harmonic genera
tion to lateral structural changes and magnetic properties even in the mono
layer range.