Citation V/Ultra/Encore (C560)
Air Traffic Control Fully Certified
Air Traffic Control Time Certified In Pos 1 (yrs) 3
Human-Machine Interface
Conflict NMAC
Flight Crew Took Evasive Action
ATC Equipment / Nav Facility / Buildings; Aircraft
Aircraft X was handed off to me and switched heading 300 level at 4000. On initial contact with me; I climbed to 16000 with an expedite thru 13000 for traffic. Pilot came back shortly thereafter and stated that he almost hit an aircraft when he was climbing thru 4500. I did not observe any primary or secondary targets in his proximity and I confirmed that my filter settings were 4000 to 18000 on both associated and unassociated tracks. I reviewed the Falcon replay with my supervisor and no target primary or secondary was observed when Aircraft X was climbing through 4500.To provide another measure of protection for this aircraft; I suggest that turbojet aircraft departing ISM are vectored to stay within the closest Class Bravo shelf so we can climb them up into the Class Bravo in an expeditious manner. For example; this scenario placed the aircraft under the 6000 to 10000 Class Bravo shelf before departure west climbed. Had we kept the turbojet within close proximity to ISM; the aircraft would have been in the 4000 to 10000 Class Bravo shelf prior to his climb.
F11 TRACON Controller reported that a pilot reported almost hitting another aircraft on climbout. Controller never observed other target on radar.