C140 NMAC WITH EXPERIMENTAL ACFT IN TFC PATTERN AT NON-TWRED FIELD.

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UNCTLED FIELD. STUDENT LEARNING SHORT/SOFT FIELD TKOFS/LNDGS. ON EXTREMELY SHORT FINAL; ABOUT 50 FT AGL; A RED GLASTAR CAME OVER THE TOP OF US AND LANDED. EVASIVE ACTION TO THE R AND A GAR WAS EXECUTED. OUR RADIO WAS NOT XMITTING; BUT THE RECEIVER WAS FINE AND NO CALL ON FINAL WAS HEARD. WITNESSES INDICATE HE CAME FROM THE E (A NON STANDARD DIRECTION FOR PWRED ACFT FOR THIS ARPT) AND SEEMED TO COME 'FROM OUT OF NOWHERE.' THE PLT WAS CONFRONTED AT HIS HANGAR AND HIS ONLY EXCUSE WAS HE DIDN'T HEAR ANY CALLS ON THE RADIO. REMEDY: 1) FOLLOW STANDARD PATTERNS PER LCL GUIDANCE; 2) BE ESPECIALLY ALERT IN THE PATTERN; 3) DON'T RELY ON RADIO CALLS TO IDENT TFC AT ARPTS WHERE RADIOS ARE NOT REQUIRED; AND 4) USE THE 45 DEG ENTRY TO THE PATTERN WHEN MORE THAN 1 ACFT IS IN THE PATTERN. SUPPLEMENTAL INFO FROM ACN 618644: I ENTERED ON A DOWNWIND FROM A 45 DEG ENTRY MAKING APPROPRIATE RADIO CALLS. I FLEW A NORMAL PATTERN AND LANDED. I THEN OBSERVED A C140 PASS OVERHEAD SLIGHTLY TO MY R; AS I WAS ROLLING OUT ON RWY 16. AS IT PASSED BY ME; THE C140 DID NOT MAKE A RADIO CALL. IN CONVERSATION WITH THE PLT OF THE C140; SHE SAID SHE WAS BELOW AND AHEAD OF ME FOR THE ENTIRE PATTERN; AND THAT I FLEW RIGHT OVER TOP OF HER AND LANDED IN FRONT OF HER. I NEVER SAW HER; BUT SHE WAS APPARENTLY ON A LONG; LOW WIDE PATTERN. NEITHER MY PAX NOR I SAW THE OTHER ACFT TILL AFTER WE LANDED; NOR DID WE HEAR ANY RADIO CALLS FROM THE C140. THE SIT MADE ME MORE AWARE OF THE NEED TO REDOUBLE MY SCAN FOR TFC AND THE GREAT BENEFIT OF RADIO CALLS IN THE PATTERN.