help with carbon arc lamp

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i've built a carbon arc lamp using a 220v/20a circut that yeilds 140 amps at max load with a dc rectifier. this puts off alot of light but i need somthing that will illuminate 3-4000 square feet with no lenses or focusing device. Is this possoble? im using pure carbon rods and would like to stay away from the copper coated rods. i've seen pictures of vacume chambers used to get a higher burn temps. dose any body know some good technical info on this or sources i can look up? what is the best way to create and hold a 2-3 inch arc? what kind of voltage should i shoot for? ive also heard of rotating to get an even burn any help would be great. thanks alot!