Incidentally, I wouldn't call your example a particularly good one. The emblem is to neat and symmetrical, whereas it should have some distortion where it follows the curves of the face. Not a lot, but a little foreshortening in the bottom right corner, and extending in the upper right corner. That can be done with Free Transform Warp, or maybe better with the Liquify tool. You'd need the emblem on its own layer of course.
Rather than use a Displacement map, some simple dodge and burn would make it follow the curve beneath the eyelid, flow around the curve of the cheek at the bottom. Filter > Distort > Spherize would also help, but you need to move the emblem to the center of the screen before applying it. See how the lines above and below FCB are slightly curved in my modified example. Try and find a real non photoshopped example to see how it should look.
Good luck and have fun.
