I recently bought Samsung Galaxy add on keyboard, on a whim, to see if it would work with my iPhone. It sits over the screen where the onscreen keyboard is situated. On eBay it said “Bluetooth” but had no obvious signs of charging. Didn’t work with the iPhone. Next hypothesis was something clever with NFC.
Nope. Zero electronics. The reverse of the PCB has pads that fit over regions on the screen. On the front of the PCB, tactile dome switches short each pad through to a plane, presumably capacitively coupled to the hand.
(Edited for detail)
Why won’t anyone do this for iPhones? (Patents or market?)