I suspect that since a 'digital camera' was mentioned by the OP, that they want sensitivity in the CCD there for that wavelength range, as well. Probably not using their eyes, directly.
I have built a few cheap, DVD-based spectrophotometers. You can use heavy construction paper and elmer's glue for the box and baffles and a flat razor blade to either cut a slit or else use themselves in pairs to make precision optical slits to let the light in. Also, a shoebox can be used. Or build something cheap from materials you are comfortable with. These work pretty well with digital cameras, too. I've not been interested in 380-410 and I have a sneaky suspicion that the plastic used in the DVD will absorb a lot of it. But if your source is bright enough or your camera sensitive enough, that may not be such a bad problem. The optical lens of the digital camera may also be a problem. You'd have to test to see. But you need to do that, anyway. So if you have a source that you know emits in the
380-410nm band (a 405nm LED?) you could at least try it out and see how well it measures out against the stated curves for it. You will definitely see the problem, if there is one.
You can test with DVD-RW, DVD-R or DVD+R. I know for certain that the DVD-R has a terrible, nasty absorption notch in the red (they include a dye that absorbs there) and that the DVD-RW seems to not have that problem. But you are on the weakly visible side of blue, so I suppose you don't care about that, anyway.
I think Edmund Scientific carries (well, it used to be cheap) some diffraction gratings, too. You might consider those.
Not really gonna work; the blue and UV sensitivity of silicon photodiodes is poor. A day-glow painted screen to shift the UV light to red, followed by a photodiode, would be OK.
The only good sensor for wideband is the humble bolometer (or thermopile); you can make a black item and look at it heat up easier than you can sense IR+visible+UV by other methods. My favorite variant is photoacoustic spectroscopy, actually: you let the heating and expansion create an acoustic signal and then pick it up with a microphone.
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