Is there a device/technique, whereby under eye bag fat could be melted away and the skin tightened?

It would be great for people like me who don't want to undergo a bleph procedure, if there was a device/technique, whereby under eye bag fat could be melted away and the skin tightened. I've seen ads for such techniques for "melting" fat in the abs, thighs, butt, arms. Perhaps there is such a device for the face and I just haven't seen it yet ?? Under eye bags consist of trapped fat so it seems this would be a good, non-invasive way of eliminating eye bags.