Did Alexander actually feel like he was avenging Persian wrongs?

It is clear that Alexander the Great was a strong believer in revenge because the first thing he did when he was king was get revenge for his father's assassination. However, we can also see that he had a hunger for conquer because he went around Greece forcing everybody to acknowledge that he was in charge now. I think that when Alexander first decided to invade Persia, he had revenge on his mind. He wanted to get back at the Persians for the Persian wars. They tried to conquer his country, so now he would conquer theirs. However, as he won more and more battles and conquered more of Persia, I think he lost sight of trying to get revenge. All the power he had made him want to conquer more and more. When he first started out, Alexander was trying to get revenge on the Persians, but once he had conquered so much, it became more about having the world under his control.

http://www.historyofmacedonia.org/AncientMacedonia/AlexandertheGreat.html

http://commons.wikimedia.org/wiki/File:Alexander_cuts_the_Gordian_Knot.jpg