IMMEDIATELY AFTER TKOF FROM LINDBERGH'S LNDG PVT STRIP; RPTR'S EXPERIMENTAL SMA AND GLFII EXPERIENCE NMAC NEAR TMB.

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TMB IS LOCATED IN SW MIAMI; DADE COUNTY; FL. IT HAS A CTL TWR; PARALLEL RWYS 9-27 AND RWY 13/31. THE ILS IS ON RWY 9R. LINDBERGH'S LNDG (FA35) IS A PVT GRASS STRIP WSW OF TMB. IT HAS A 5000 FT RWY 9-27. TMB'S CLASS D AIRSPACE IS NONSTANDARD AND HAS ONLY A 3.5 MI RADIUS. HALF OF LINDBERGH'S RWY IS INSIDE THE TMB CLASS D AIRSPACE. THE AGREED PROC WITH TMB TWR FOR OPS AT LINDBERGH'S IS TO CONTACT THE TWR ON THE GND AT LINDBERGH'S OR; BECAUSE SOME ACFT CANNOT COM WITH THE TWR ON THE GND; AS SOON AS POSSIBLE AFTER TKOF. I WAS OPERATING A YAK52 EXPERIMENTAL ACFT FROM RWY 9 AT LINDBERGH'S AND WANTED ONLY TO FLY DIRECT TO TMB AND LAND. I MONITORED TMB ATIS AND TWR ON THE GND; BUT BECAUSE OF PREVIOUS EXPERIENCE DID NOT ATTEMPT TO CALL TWR ON THE GND. I HEARD TWR COMMUNICATING WITH A GULFSTREAM INBOUND TO RWY 9R. I DID NOT CATCH THE EXACT POS OF THE GULFSTREAM; BUT ASSUMED IT WOULD BE FLYING DOWN THE ILS FROM THE W AS MOST BUSINESS JETS DO. THE ILS IS N OF LINDBERGH'S AND PARALLEL TO MY TKOF PATH; AND I DID NOT ANTICIPATE TFC CONFLICTS. UPON DEP FROM LINDBERGH'S; I IMMEDIATELY CONTACTED TMB TWR WITH MY POS AND REQUEST. IN THE AIR OVER THE DEP END OF LINDBERGH'S RWY 9; I WAS PROBABLY ONLY ABOUT 2.5 MI FROM THE APCH END OF TMB RWY 9L; SO IT'S A VERY CLOSE SIT UNDER THE BEST OF CONDITIONS. I WAS GIVEN INSTRUCTIONS BY TWR TO FLY W AND ENTER A R DOWNWIND FOR RWY 13. I INITIATED A CLBING L TURN AND THEN HEARD A RADIO CALL ASKING ABOUT 'THE ACFT ON MY L.' I LOOKED TO THE R AND SAW A GULFSTREAM PASS SLIGHTLY TO MY R AND UNDERNEATH ME IN A DSNDING R TURN. THE 2 ACFT WERE VERY CLOSE. THE GULFSTREAM HAD APPARENTLY BEEN ON A R DOWNWIND TO TMB RWY 9R; RATHER THAN STRAIGHT IN ILS I HAD PRESUMED. IT WAS ON A BASE TO FINAL TURN WHEN MY ACFT APPEARED ON UPWIND FROM LINDBERGH'S. THE APPROX ALT AT THAT POINT WAS ABOUT 500 FT. I CONTINUED TO TMB AS CLRED AND LANDED ON RWY 13. THE GULFSTREAM HAD ALREADY LANDED ON RWY 9R; AND THE PLT QUESTIONED THE TWR ABOUT THE TFC CONFLICT AND CLOSE CALL. TMB TWR EXPLAINED THE SIT AND THAT I WAS IN CONTACT WITH THEM AND FOLLOWING PROC. NONETHELESS; IT WAS A VERY CLOSE CALL. I FEEL THAT THE PROX OF LINDBERGH'S TO TMB; THE SMALLER THAN USUAL SIZE OF THE TMB CLASS D AIRSPACE; THE FACT THAT PREVAILING WINDS NORMALLY DICTATE TKOFS TO THE E AND THE DIFFICULTY IN REACHING TMB TWR BY RADIO ON THE GND AT LINDBERGH'S ALL CONTRIBUTED TO THIS SIT. IT WAS A CASE OF EVERYONE OPERATING IN ACCORDANCE WITH OFFICIAL PROC; BUT A VERY BAD SIT OCCURRED. MY SUGGESTION FOR IMPROVEMENT IN THE SYS IS TO PROVIDE A WAY TO ASSURE 2-WAY RADIO COMS CAN BE HAD BTWN TMB TWR AND ACFT ON THE GND AT LINDBERGH'S PRIOR TO DEP. IN MY SIT; TWR COULD HAVE DELAYED MY TKOF SLIGHTLY TO LET THE CONFLICTING GULFSTREAM TFC CLR THE LINDBERGH'S DEP COURSE. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR ADVISES THAT COM FROM LINDBERGH IS SPORADIC; APPARENTLY THE RESULT OF DISTANCE AND ANTENNA LOCATION. HE RESTATED THAT IT IS NOT UNCOMMON TO HAVE TO TAKE OFF FIRST BEFORE BEING ABLE TO CONTACT TMB.