TFC PATTERN CONFLICT BTWN AN SMA AND A FIGHTER.

Narrative

OUR ACFT WAS DEPARTING RWY 19 AT EGLIN AFB; FL; FOR A LCL VFR TRAINING FLT. PAX OF OUR ACFT INCLUDED SELF (CFI) AND STUDENT PLT. STUDENT WAS PF. STANDARD PROC FOR AERO CLUB DEPS FROM RWY 19 INCLUDE A CLBING L TURN PRIOR TO END OF RWY (INTERSECTING RWYS) TO APPROX 040 DEGS AND A LEVELOFF AT 1100 FT MSL. APPROX 2-3 NM E OF THE AIRFIELD; LCL CTLR GAVE HDOF TO DEP. IT WAS AT THIS TIME THAT STUDENT WAS ATTEMPTING TO LEVEL AT 1100 FT MSL. AS THE INSTRUCTOR SWITCHED FREQS TO DEP; THE STUDENT PLT CLBED THROUGH ALT TO APPROX 1300 FT MSL AND LEVELED OFF. AT INSTRUCTOR'S DIRECTION; STUDENT THEN DSNDED AND MAINTAINED 1100 FT MSL PLUS OR MINUS 50 FT. DURING INITIAL CONTACT WITH DEP CTL; AND STILL WITHIN 3 MI OF AIRFIELD; DEP CTL ADVISED THAT 'VFR CLB IS APPROVED' WITHOUT REQUEST BEING MADE BY OUR ACFT. WE MAINTAINED 1100 FT MSL UNTIL 5-6 NM NNE OF AIRFIELD AND THEN CLBED TO 2000 FT MSL. THE REST OF THE FLT WAS CONTINUED WITHOUT INCIDENT. AFTER TERMINATION OF THE FLT; I WAS INFORMED BY THE PLT OF AN F-15 ACFT THAT HE HAD COME WITHIN 1/4 - 1/2 MI OF OUR ACFT WHILE HE WAS OPERATING VFR IN CLOSED TFC ON RWY 19. PLT OF F-15 ACFT WAS APPARENTLY NBOUND OR TURNING NBOUND FOR A 1600 FT MSL DOWNWIND TO RWY 19 WHEN HE NOTICED A TFC CONFLICT WITH OUR ACFT THAT HE DESCRIBED AS POTENTIALLY HAZARDOUS HAD HE NOT SEEN US. PLT OF F-15 ALSO RELATED TO ME THAT HE WAS COMMUNICATING WITH LCL CTLR WHO HAD NOT ADVISED HIM OF OUR PRESENCE. LIKEWISE; ATC NEVER ADVISED ME OF THE PRESENCE OF THE F-15. FACTORS CONTRIBUTING TO ME NOT SEEING THE OTHER ACFT MAY INCLUDE THE FOLLOWING: THE F-15 WAS APPARENTLY ABOVE US BY APPROX 300 FT APCHING FROM THE 3-4 O'CLOCK POS WHILE WE WERE IN A HIGH WING ACFT; PREOCCUPATION OF THE LOW TIME STUDENT WITH BASIC ACFT CTL DURING LEVELOFF; AND PREOCCUPATION OF THE INSTRUCTOR WITH THE ATC HDOF.