The emission of harmonic radiation by an electron oscillating anharmonicall
y in a linearly polarized plane ultra-intense laser field is studied. The e
lectron is described as a classical relativistic particle with a magnetic m
oment in order to include the spin-laser interaction. In contrast to ordina
ry Maxwell dynamics the motion can become three-dimensional depending on th
e orientation of the spin. additional harmonics are visible in the directio
n of the electric field of the laser where no harmonics of polarization alo
ng the magnetic-field direction are to be expected.