I am currently working on a high voltage supply for short (50-100ns), quick (<30ns rise time) pulses. The below circuit is my first rough draft for the power supply, I realized that by connecting the MOSFET driver up the way I have, I have de-isolated the HV voltage section of the circuit. My question is, would it be better to keep the HV section of the circuit isolated (main concern: safety) or reference it to the battery's negative terminal (as is below)?
I've been looking into options for pulse transformers to accomplish the isolation task for the low voltage section if I need to go that route, but I haven't been able to find many that are rated at 4KV isolation at the rise times I'm trying to achieve.
Assume that the elements of this circuit will never touch the ground at any point, aside from accidental contact, it should be floating at all times. The chassis the equipment is in is isolated from ground and is referenced to the battery's negative terminal.
Edit: Not shown, but there is a bridge rectifier and smoothing capacitor after the 4kv transformer.