Science Fiction Theater: The Man Who Didn't Know - S2 E 13

There’s a mystery in the air, and it’s a very good one, even by the high standards of Science Fiction Theater.  The U.S. is on the verge of a breakthrough in flight – a noiseless aircraft that can stay in flight indefinitely.  One of the key scientists is assigned the duty of piloting the XB 205.  All went well until a structural defect caused the XB to crash.  After a week of fruitless searching for survivors, it was assumed the crew perished.  But six months later, the pilot surfaced in a hospital in Singapore.  He can remember only that he was plucked from the sea by the hands of a passing ship.  Weird so far, but the mystery doesn’t really begin until the pilot gets back to work on the top secret XB-205-Project again.  The military learns that somehow, and impossibly, an enemy country has recordings of every single one of their confidential project meetings.  This only happened after the injured pilot returned to work!