It actually is a basking spot lamp, but it's a pretty weak one. "50W Daylight Basking Spot" - it seemed like it was providing the right kind of temperatures, but I guess it might be too bright.

If there's any chance that this kind of eye damage can be caused by the light, I might as well switch back to the one he had before. I'd like to know for sure, though. I swapped him over because the last light didn't seem to be providing enough heat.