Copying Display Objects

Hello, I was wondering if anybody knew of a method of creating copies of sprites so that the copy can be added to the display list along with the original. When I try to just say:

var mySprite:Sprite=originalSprite;

and then add the mySprite to the display list the original sprite is removed. I know this is because the mySprite is just pointing to the original sprite and when the same instance is added to the display list the original instance is automatically removed. So is there a way to actually copy the sprite (along with its children) so that I can add it as a new instance to the display list?