Air Force has different rules. I'll try my best to explain what I've observed.
The name and wings still go on the left chest. The left shoulder
is either the USAF weapons school graduate patch or a platform-type
patch (ie, "Eage Driver" etc). The right chest is either Air
Combat Command, Air Mobility Command, Air Education and Training
Command, USAFE, PACAF, etc and the right shoulder is the squadron or
unit.
PTI = Prowler Tactics Instructor (EA-6B Weapons School grad)
VTI = Viking Tactics Instructor (Sea Control Weapons School - ie S-3 - grad)
AMCC = Airborne Mission Commander's Course (E-2 Weapons School - ie
NSAWC N-6, once upon a time known as Top Dome, or so I've been told)