Add AirPlay Mirroring to Any Raspberry Pi TV
AirPlay Mirroring, a technology that lets you mirror your iOS device’s screen to an Apple TV, is great, but you’ll need an Apple TV to use it. Instructables user edyboy12 shows you how to use the Raspberry Pi instead.
Basically, you only need to download and install some software for this to work. The Instructables manual uses a software called rPlay that is still in beta and includes a random license key, but it seems to be getting the job done. Head over to Instructables for a complete guide on how to do this for yourself.
AirPlay Mirroring without Apple TV | Instructables