NMAC WITH CONVERGING XING DSNDING TFC.

Narrative

I DEPARTED SBA AFTER HAVING DINNER TO RETURN TO MY HOME ARPT; VNY. I HAD 1 PAX; SITTING IN THE COPLT SEAT (NON PLT). I HAD RECEIVED CLASS C CLRNC AND VFR FLT FOLLOWING FROM SBA APCH. I TOOK OFF RWY 15L AND RECEIVED CLRNC TO TURN EBOUND (APPROX 080 DEG HDG) AND FOLLOW THE COAST TO CLB TO MY REQUESTED VFR ALT OF 5500 FT MSL. APPROX 5 MI AWAY; DURING MY CLB (APPROX 3000 FT MSL) SBA APCH CALLED TFC AT MY 9 O'CLOCK; 5 MI AWAY; DSNDING OUT OF 6500 FT (APPROX). I COULD NOT SEE THE TFC WHICH I RPTED TO APCH. AS I CONTINUED MY CLB TO MY CRUISING ALT; APCH CONTINUED TO RPT THIS TFC AT POS RANGING FROM 8-10 O'CLOCK; AT CLOSER DISTANCES; AND DSNDING. I HAD MY STROBES; NAV LIGHTS AND LNDG LIGHT ON. FINALLY; AT LESS THAN A MI RPT FROM SBA APCH I SPOTTED A BEACON. THE ACFT WAS AT 8 O'CLOCK. THE ACFT APPEARED TO TURN DIRECTLY TOWARD ME AND DSND TOWARD ME. I WAS ABOUT TO TAKE EVASIVE ACTION WHEN THE ACFT PERFORMED A 'SPLIT S' MANEUVER WITH A 90 DEG TURN AND DIVE AWAY FROM MY ACFT. I RPTED THIS TO SBA APCH WHO INFORMED ME THEY WERE NOT TALKING TO THE ACFT. 30 SECONDS LATER THE ACFT RPTED ON TO SBA APCH. I REQUESTED THE SBA TWR PHONE NUMBER AND THE ACFT TAIL NUMBER. MY PAX BECAME VERY FEARFUL AND EXTREMELY ILL; INCLUDING CHEST PAINS; AS A RESULT OF THIS ACTION.