What is that little box in the bundled up cord? Looks like a PSU, does the cord detach from the light? I think that's the power supply there, and if so then look at the model # on it. Or see if you can find a model # on the light to narrow down your search options.

If all else fails, you can use a lab power supply to power anything within its specs. You would just have to know the voltage and current input of the device and have the appropriate connectors.