I’m not an experienced electrical engineer so I’m never sure about the feasibility of this sort of thing, but I’ve seen wireless power demonstrated before, and if you’re willing to work within certain restrictions, it seems to be a perfectly good option. I don’t really like the idea of, say, microwave based power being shot all over my room, so this magnetic induction technique is more attractive to me.
It requires a thin “receiver” coil to be installed somewhere in your phone, probably the closer to the back the better, and then a complementary coil transmits the power at a modest rate but high efficiency when you put the phone down on the charge mat. Man, that would be sweet.