P50 Controller described Class B incursion event involving a special operations aircraft; noting issuance of a beacon code prior to takeoff may have led the pilot to believe a Class B entry clearance was approved.

Narrative

I was working the Pima and Willy position combined. This requires the Controller to monitor a very large portion of airspace. The FLM advised me that Aircraft X would be departing from Gateway airport for surveillance operations 5-10 miles West of Phoenix Sky Harbor at 10;500. The FLM advised me that Aircraft X was issued beacon code. Gateway FCT called to verify that I knew about Aircraft X and that he had already received a beacon code. I observed a data block indicating Aircraft X climbing through 5800 in the Class Bravo airspace; 3 miles West of Gateway airport. I called Aircraft X to see if he was on my frequency and Aircraft X answered stating they were with me 3 North of Gateway at 6000. Aircraft X was still in a climb and heading directly towards the Phoenix Sky Harbor departures; departing Runway 7L. I advised Aircraft X he was in the Class Bravo airspace without a clearance and to turn left immediately heading 210 and to IDENT. I observed the IDENT and RADAR identified Aircraft X and coordinated with Santan position since Aircraft X had already penetrated their airspace. I then transferred communications of Aircraft X to Santan. While this was occurring I had an Astra jet on a heading to vector him over Sky Harbor for Scottsdale Airport at 4000; per the P50 SOP. The Biltmore Controller called me to ask if the Astra was turning since he observed the aircraft still on a Northwesterly heading. I quickly made a point out with the Verde position but I believe the Astra came closer than the 1.5 miles required with adjacent airspace. Vectoring aircraft over Sky Harbor is always a problem because if anything comes up it is difficult to remain 1.5 miles away from adjacent airspace. I also was delaying with an aircraft climbing with a TCAS alert; C500; at 4000 over Chandler airport; inbound to Gateway; with VFR known traffic at 3500 and traffic was issued. The Perfect Storm! I believe that assignment of a VFR beacon code to an aircraft still on the ground contributed to this event. This may have lead Aircraft X to think that he could climb on course through the Bravo airspace without calling Phoenix TRACON. Based on staffing Pima and Willy should have been split.