Hi,
It took us a while to design this transformer, so we will keep it as a puzzle for you to delve into.
The transformer is just for power isolation. We use the optical fibers for communication.
However, the key requirements for the transformer are:
1. It has to have as low capacitance as possible. As several have pointed out, a 500V 8ns edge will go through a capacitor like butter if the capacitance is too high.
2. That it be as balanced as possible - this is so that the common mode output voltage, which could get into the circuit being measured, is minimized.
3. That it be reasonably efficient. We have to put 3W across the gap.
The former is 3D printed, and yes the shape is important, as is the material. The toroid is a fairly standard one.
The driving system is also pretty important, and you can use your imaginations on that
cheers, Bart