PA28 LNDG W50 MET BY UNITED STATES OFFICERS REGARDING POSSIBLE ADIZ ENTRY.

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FILED A FLT PLAN TO REENTER THE CLASS B (WASHINGTON ADIZ) AT XA45. WE FLEW AROUND TO THE W; AND APPLIED FOR OUR XPONDER CODE TO RE-ENTER THE AIRSPACE AT ABOUT XA55. WE RECEIVED THE CODE WHEN WE WERE ABEAM FDK; AND WERE TOLD 'YOU ARE CLRED TO ENTER THE CLASS B.' I ASKED IF THEY COULD READ THE MODE C AND CONFIRM MY ALT READOUT. THEY RESPONDED THAT THEY COULD NOT UNTIL I WAS 5 MI PAST FDK. I ENTERED THE AIRSPACE AND PROCEEDED DIRECTLY TO DAVIS. AFTER A FEW MINS; I RPTED 'ARPT IN SIGHT' AND POTOMAC APCH SAID 'PLEASE RESET YOUR XPONDER; WE DON'T SEE YOU.' I WAS IN THE PATTERN AT THIS POINT AND TURNED IT ON-OFF-ON; AND THEY SAID; 'WE HAVE YOU.' I SAID THANK YOU; AND LANDED. AFTER TOUCHDOWN; I RESET TO 1200; AND PARKED. WITHIN 15 MINS; A BLACKHAWK LANDED AND 2 OFFICERS APCHED. THEY SAID THAT I MADE AN UNAUTH INCURSION. I EXPLAINED WHAT HAPPENED. THEY SAID IT WAS PROBABLY A MISCOM AND THAT NOTHING WOULD PROBABLY COME OF IT. UPON GETTING HOME; I CALLED POTOMAC APCH; AND SPOKE TO A SUPVR. I EXPLAINED IT ALL; AND HE SAID THAT THE CASE WAS CLOSED.