measured the impedance from 70MHz to 90MHz for three different AOMs we had in the lab - two Isomet 1205C-843 and one Crystal Technologies 3080-194.
It turns out that the tiny power modulation on top of the big power modulation and pointing effects is related to some resonance effects in the AOM.
The Isomet AOMs show both this feature, the other one not. So we decided to install the one from Crystal Technology...