Increasing the maximum angle of laser scanners with optics?

With laser scanning devices, very roughly speaking, the maximum deflection angle seems to be inversly proportional to speed. So for example, while acousto-optic deflectors can steer the beam very quickly, they can only do so over a small angle. As I understand it, this situation is roughly analogous to electrostatic vs magnetic CRTs. Electrostatic tubes are much faster (thus their use in old analog scopes), but they also work over a much smaller angle and so have to be very long.

The idea that occurred is whether it would be possible to use optics, like so: http://i.imgur.com/6Xz0ng7.png to "magnify" the maximum angle that can be scanned with something like an acousto-optic deflector. The problem is, essentially, wouldn't you end up with something like this: http://i.imgur.com/0amCac0.png ? So, basically, is there anyway to increase the angle of laser beams from a scanner without also compensatingly increasing the divergence of the beam?