Yeah, I started thinking about it more and drew up a few sketches, I'll scan and upload them in a sec.
Until then, the basic look is something kind of tech/cyberpunk, like this:
But thinner, and double-bladed like this:
with electricity arcing between the two blades. I've got a basic idea of how it should look, but I'm having trouble finding a balance between an angular cyberpunk sword and something more curved to match the aesthetic of the Tesla coil.
I definitely like the circuit board pattern engraved in the blades, though.