Resolution

Previously configured AirPort base station doesn't appear

If your AirPort base station has been previously configured, and you haven't reset it, restart your iOS device and then see if the AirPort base station appears in AirPort Utility for iOS.

To restart it, press and hold the Sleep/Wake button for a few seconds until the red "slide to power off" slider appears, and then slide the slider.

New or reset (Restore default settings) AirPort base station doesn't appear

If you are setting up a new or reset AirPort base station, it won't appear in AirPort Utility for iOS until it has been configured in Wi-Fi Settings:

1. Tap Settings, then tap Wi-Fi.
2. Under “Set up an AirPort base station,” tap the name of your base station.
3. Follow the onscreen instructions.