The name of the procedure I got a few years ago was 'lithotripsy' if memory serves. I got a spinal, then I was submerged in a stainless steel hot tub, and then shocked the stone to grains with focused sound waves. Probably some sort of sonar offshoot.
Peed in a strainer for a few days to weigh the debris, no overnite in the hospital, but I stayed in the hotel across from the hospital so I could go in to get checked the next morning.