  We study high-harmonic generation in two-dimensional electron systems with
Rashba and Dresselhaus spin-orbit coupling and derive harmonic generation
selection rules with the help of group theory. Based on the bandstructures of
these minimal models and explicit simulations we reveal how the spin-orbit
parameters control the cutoff energy in the high-harmonic spectrum. We also
show that the magnetic field and polarization dependence of this spectrum
provides information on the magnitude of the Rashba and Dresselhaus spin-orbit
coupling parameters. The shape of the Fermi surface can be deduced at least
qualitatively and if only one type of spin-orbit coupling is present, the
coupling strength can be determined.
