Nonlinear magneto-optics is a very sensitive fingerprint of the electr
onic, magnetic, and atomic structure of surfaces, interfaces, and thin
ferromagnetic films. Analyzing theoretically the nonlinear magneto-op
tical Kerr effect for thin films of Fe(001) and at Fe surfaces we demo
nstrate exemplarily how various electronic material properties of ferr
omagnets, such as the d-bandwidth, the magnetization, the substrate la
ttice constant, and the film-thickness dependence can be extracted fro
m the calculated nonlinear Kerr spectra. Furthermore, we show how the
substrate d electrons [Cu(001)] affect the nonlinear Kerr spectra even
without being themselves spin-polarized and without film-substrate hy
bridization. We show that the Kerr rotation angle in second-harmonic g
eneration is enhanced by one to two orders of magnitude compared to th
e linear Kerr angle and how symmetry can be used to obtain the directi
on of magnetization in thin films and at buried interfaces from nonlin
ear magneto-optics. (C) 1996 American Institute of Physics.