I would abstain from modulation from 0 volts/current on any diode....unless it is a very cheap experiment. Diodes don't like the shock wave of heat from the inrush of current....it tends to blow the facet off the die....no more laser. I may stand correctable here....but I would opt to run it just above threshold to save the diode. Even if it is the faintest light from it...it is at least conducting current and somewhat in the "running" mode of ops. Then again.......just from my own testing....need more info on the diode.
You are the only one that can make your dreams come true....and the only one that can stop them...A.M. Dietrich