Dean stated in his referee report, which was published by the FA on Tuesday as the body gave its written reasons for the ban, that Pochettino had repeatedly said "you know what you are" to the official during the confrontation.
"Mr Pochettino acted in a very irresponsible and aggressive manner," Dean wrote. "He wouldn't stop saying 'you know what you are, you know what you are'. I asked him to explain and he repeated 'you know what you are'.
"I then said... to go away at least 10 times and he wouldn't get out of my personal space and then aggressively pointed his finger just a few inches from my face again saying 'you know what you are.'
"When I reached the tunnel he was waiting at the top of the stairs again saying 'you know what you are' and had to be escorted to the dressing room by security staff from Burnley."
The FA report said that Dean's assistant referees had corroborated his account.
Pochettino, who publicly apologised for his actions, said he was shocked by the ban, before Tottenham's 2-1 defeat by Southampton on Saturday. He will not be in the dugout for the trip to Liverpool on March 31.
Tottenham are third in the standings with 61 points from 30 games, 13 points behind leaders Manchester City.
(Reporting by Shrivathsa Sridhar in Bengaluru; Editing by Toby Davis)
