CITATION PILOT REPORTS NMAC WITH LIGHT ACFT AT 2000 FEET ON DEPARTURE FROM F45 AND TCAS TA.

Narrative

I RECEIVED MY CLRNC ON THE GND FROM PALM BEACH APCH AND WAS INSTRUCTED TO; AFTER DEP TURN TO A HDG OF 300 DEGS AND CLB AND MAINTAIN 2000 FT. AT XA30Z I DEPARTED RWY 13 AND BEGAN MY 2000 FPM CLBING TURN AND UPON REACHING MY ASSIGNED HDG AND PASSING THROUGH 800 FT I CONTACTED PALM BEACH APCH. I STATED; ACFT X IS WITH YOU PASSING 800 FOR 2000 FT. APCHING 2000 FT I RECEIVED AN ALERT FROM MY TCAS (TFC! TFC! TFC!) TCAS SHOWED THE TFC WAS LESS THAN A MI; 300 FT BELOW MY ALT AND CLBING TOWARDS MY ACFT FROM THE R. MY ONLY SAFE OPTION TO AVOID A COLLISION WITH THE CONVERGING ACFT WAS TO CONTINUE CLBING THROUGH MY ASSIGNED ALT OF 2000 FT TO 2450 FT. ONCE THE OTHER ACFT PASSED ME; I IMMEDIATELY DSNDED BACK TO 2000 FT. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE REPORTER STATED THAT HE WAS SINGLE PILOT AT THE TIME AND THE TCAS WARNING MAY HAVE PREVENTED A MIDAIR COLLISION. HE DOES NOT KNOW WHY THE CONTROLLER DID NOT POINT THE TRAFFIC TO HIM TO PREVENT THIS CONFLICT. THE TCAS SYSTEM ON THIS ACFT DOES NOT GIVE VERTICAL GUIDANCE; ONLY RELATIVE POSITION AND VERTICAL SEPARATION. THIS IS THE SECOND CLOSE CALL THE REPORTER HAS HAD AT THIS ARPT AND DOES NOT BELIEVE THAT IT IS SUITABLE FOR SINGLE PILOT JET OPERATIONS.