What did the Athenian empireSpread throughout the middle east in Egypt

It was the culture and ideas that the Athenians spread when they came in contact with people in the Middle East.

Than term for the Greeks in the olden days was Hellens and the term used for the spread of Greek ideas and the Greek culture was Hellenization. It was during the Alexander the Great's conquest and Greek expansion that the biggest wave of hellenization occurred.