A HAWKER 100 FLC FAILS TO ABIDE BY THE 6 PT 6 DME ALT XING RESTR OF THE FAIRGROUNDS VISUAL APCH TO RWY 30L AT SJC; CA.

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WHILE BEING VECTORED BY BAY APCH FOR THE VISUAL TO RWY 30L; THE CREW (MYSELF) PICKED UP THE FIELD VISUALLY ON A HIGH AND WIDE L DOWNWIND AT ABOUT 6000 FT MSL; AND APPROX 11 MI FROM THE FIELD. WE CALLED THE FIELD IN SIGHT AND WAS THENCE CLRED 'THE VISUAL APCH RWY 30L.' I DSNDED TO PATTERN ALT ON A BASE LEG AND PROCEEDED IN VISUALLY. UPON LNDG AT SJC; WE WERE ASKED TO CALL THE TWR. AFTER I DID AND FOUND OUT THAT I CROSSED A MANDATORY NOISE ABATEMENT ALT 400 FT LOW; BAY APCH SAID I WAS ON THE 'FAIRGROUNDS VISUAL' WHICH DOES DEPICT THIS RESTR. HOWEVER; NEITHER MYSELF NOR MY FO RECEIVED OR READ BACK THIS CLRNC OF THE 'FAIRGROUND VISUAL' -- WE SIMPLY ACCEPTED AND READ BACK 'CLRED FOR THE VISUAL RWY 30L. I BELIEVE WHERE THE ERROR AROSE WAS WHEN WE WERE 'CLRED' HAD THE CREW ACCEPTED AND READ BACK A TITLED 'CHARTED VISUAL APCH' THIS DEV WOULD NOT HAVE OCCURRED. ALTHOUGH NO COMPLICATIONS CAME ABOUT FROM THIS CONFUSION; I THINK THAT STANDARD COMS BTWN CREWS AND CTLRS MUST BE KEPT STANDARD AND CLR AND THAT NO ASSUMPTIONS BTWN EITHER PARTIES TAKES PLACE.