Hippy is, of course, correct

The doughnut is a practically universal foodstuff, the origins of which have been lost in the mists of time. A wide variety of
local variations can be found across the world, although they go by almost as many different names.
In stage lighting, the homophonic
donut refers (as stated) to a device used to sharpen the beam edge of profile spots and in this context is correctly spelt using the americanised version. In America, National Donut Day is celebrated on the first Friday of June each year, having originally been started in 1938 as a fund raiser for the Chicago Salvation Army.
There appears to be little information on how lighting donuts work and the Truth is probably filled with the kind of mathematical hieroglyphics, which sent you diving for a theatrical career in the first place

However,
this post on CB gives a small clue...
QUOTE
Donuts compensate for the fact that no lamp filament is an actual point source, thus negating slightly the ideal geometry of the ellipsoidal reflector.
...which is possibly about as much as any of us need to know IMO