Agreed, this is a tough one and I actually also question the need. Very curious about the lamp and as to what might be its normal power source??? How do you light it up now?...You may need to modify that power source, if it exists, to have a variable frequency.
Again, the frequency source is not the problem, it is the amplifier to produce the voltage and current. You are well above audio frequencies, but well below RF. You seem to be in the ultrasonic range.
Suggestion might be to look for some Sonar related test equipment, perhaps Military surplus. Trouble is I doubt the voltage requirement will be there.
The other place to look may be some of the vibration test labs. Although these frequencies may be a bit higher than used in that field, they may have something. There are amps and frequency generators in that field that essentially drive vibration tables like driving a high powered speaker to generate controlled vibrations.
Not sure if there is anything at this web site, but check out http://www.pcb.com/ these guys work in the vibration and instrumentation field and may be have some info, at least as to a direction to go in.
The other possibility is the test equipment used to do voltage breakdown testing of insulators. I recall using a device called a hypot. Don't know if the new stuff gets up that high in frequency, but it very well might. It puts a variable voltage at some variable frequencies on a device to find out at what point the insulation breaks down and forms a hazard.
Other than that, I do believe that this will end up being a very customized piece of test equipment.
Good luck!..unfortunately, I think you will need it!