Re: What are the tricks to finding the diodes max?
COD = Catastrophic Optic Damage.
Ild = Current (I) through laser diode (ld).
Hamamatsu supplies quality parts ranging from $2/ea and up, including optics and semiconductors that are used both at CERN and in the LHC.
The S1337-66BR costs on the order of $60 at my local supplier (which is usually overpriced), and is a highly linear photodiode on a ceramic base with a 5x5mm detector area. It is linear over 10 decades of light intensity, and has a sensitivity of 20% at 400nm compared to the peak (their datasheet contains the response curve, which is fairly smooth, as you'd expect for that sort of money). To lower the dark noise and improve the measurements, you can try sticking a tiny peltiér under it and taking it down to the lowest temp with kink-free curves.
I expect the trends would be similar between diodes, but the specifics would probably vary a lot.
If you have a 405nm attenuating filter or somesuch to spare, you can try this: get a cheap webcam that actually sees the 405nm. Unscrew the lens in a room with reasonably clean air, pointing the thing downward. Get the filter in front of where the lens used to be, and either tape (if it's an expensive one) or glue (otherwise) it to the body of the webcam. Point the laser straight at the detector chip. Power it up slowly. See if you find any points where the beam profile changes noticeably and repeatably. The first such point should be the lasing threshold.
Similarly, if you have a diffraction grating or prism, you can try directing the diffracted beam at the webcam in the same way, and see whether it happens to do any weird mode hopping (weirder than usual, that is; it will shift some due to the current and temperature variation, but that's likely to follow a reasonably predictable pattern) when the power gets very high.
Just don't run the diode so hard that you end up unintentionally sacrificing it.
Anyway, just some thoughts on things to try.
I'm working on setting up my diode lab now, so I'll probably get around to this stuff eventually, if nobody else does.