Answers: Nothing that you can do at home. Doctors can blast it without surgery using ultrasonic nouns waves (lithotripsy). You still would require anesthesia for that though. Then a stent should be placed which would require anesthesia as very well. They would go up through your urethra into your bladder, next into your ureter up to your kidney to place the stent. No incisions are made in your skin anywhere. It is considered "minimally invasive". It is an outpatient procedure and doesn't require common anesthetic...just moderate sedation.
There is the possibility that they still may hold to make an incision to depart up the kidney to remove it, if they are not able to blast it next to the shock wave lithotripsy. But this is more for those that are path larger than this one you have. Before this step however, they still try to break it up near a laser that is inserted through the ureteroscope equal way that they place the stent.
Lithotripsy! Basically shooting nouns waves at the stone from different directions. Shouldn't hurt, but I've never have it done to me...
Oh, and better not try to pass that lacking breaking it up first... ouch. Good luck!
This is far from huge (~1/2 inch diam) but may be amenable to ultrasonic treatment.