Taken from wiki:
The Fujifilm FinePix IS PRO digital SLR camera is purpose-designed for ultraviolet (and infrared) photography, with a frequency response rated from 1000-380 nm, although it also responds to somewhat longer and shorter wavelengths
But it needs special lenses and filters:
True ultraviolet photographic lenses are generally made from special glass because normal optical glass does not pass UV particularly well.
Reflected UV photography
A portrait taken using only UV light between the wavelengths of 335 and 365 nanometers.
In reflected UV photography the subject is illuminated directly by UV emitting lamps (radiation sources). A UV transmitting, visible light blocking filter is placed on the lens, that allows ultraviolet to pass and absorbs all visible light. Examples of these filters are Kodak Wratten 18A, B+W 403, Hoya U-340, Baader U-Filter and Kenko U-360. These filters are made from special colored glass. Most types of glass will allow long wave UV to pass, but absorb all the other UV wavelengths, usually from about 350 nm and below. Only special developed lenses made of quartz (fused silica) or quartz and fluorite can be used. Using these lenses allow the camera to reach the range 180..200 nm. Lenses based purely on quartz show a distinct focus shift between visible and UV light, whereas the later developed fluorite/quartz lenses are fully color corrected without focus shift. Examples of the latter type are the Nikon UV Nikkor 105 mm, the Hasselblad (Zeiss) UV Sonnar 105 mm and the Asahi Pentax Ultra Achromatic Takumar 85 mm.[1]
[edit] Ultraviolet fluorescence photography
Fluorescent materials lit by UV light. No filter is used to absorb violet visible light. Photo taken with daylight film by Beo Beyond.
Photography based on (visible) fluorescence induced by UV radiation has better results in archaeological photography. The same ultraviolet light sources as in reflected UV photography, except that a glass filter is used to absorb all the visible light and allow only the desired ultraviolet to pass. These filters are sometimes incorporated in the source tube itself, but most of the time are separate elements. These filter glasses usually allow a small amount of violet visible light. This should not be confused with UV light, which is invisible to the human eye. The same kind of filters are made for flash tubes also, by BALCAR and other lighting companies.
This filter is called an "exciter" filter and it allows only the radiation needed to excite fluorescence. A second filter must be placed in front of the camera lens, to exclude residual ultraviolet and allow the resulting fluorescence excited in the sample by the UV source. This filter is called the "barrier" filter. Kodak Wratten 2A - 2B is effective, as is the Baader UV/IR Cut filter. Using a 2E filter gives better results in some situations. The same filters are also made by other companies with the same codes.
The shooting must take place in a darkened room, with a black background. The photographer should also wear dark-colored clothes for better results. (Many light-colored fabrics also fluoresce under UV.)
Suitable digital cameras for reflected UV photography have been reported to be the (unmodified) Nikon D70, D40 and Fuji Film S5 cameras, but others might be suitable after having their internal filter removed. If using a modern digital camera (DSLR), it would be advisable to additionally use an IR blocking, yet UV transmissive filter to avoid IR leakage. Schott BG-38 and BG-40 are suitable for this purpose.
PS. So aparently some CCD camera does have the ability to record UV... maybe not all CCD..???