A short summary of the HP step recovery applications note could go like that: You can achieve a lot of really fast waveforms, but hardly a rectangular pulse...
I basically share biff44's opinion, that a fast transistor switch, e.g. the said laser pulser, is a promising solution. The required 8-10 V however are restricting the available transistor choice, so it would be much easier, if it could be reduced. Also all state-of-the-art commercial pulse generators, as the 8133A mentioned by E-design, are operating in a restricted voltage range.
I also miss a specification of the intended analog pulse quality. From the initial post, I'm under the impression, that a few percent deviation is already too bad. I fear, this kind of specification can turn the project easily into fiction.