Usually they are referred to as "magnifying lamps". If you search on that term you should find what you are looking for. They are occasionally called "circle lamps" here at hairtell and other places. You can also search with terms like "dazor" and "luxo" (brands of magnifying lamps.)
I would get a 5 or 8 diopter lamp if you can.
Treatment details: genetic male heavy facial/body hair no hrt, type III skin
Pro Electro: 126.00 hours Apilus Platinum picoflash + synchro
DIY/Co-DIY Electro: 823.25/75.50 hours Apilus SM-500 microflash + blend