Here is a picture from a shul that has a raised platform by the Ark. They also have the Bimah where the chazzan davens from, in the centre of the shul.
Is that raised platform near the ark, also called a bimah?
If so, I suppose it could be called the aron hakodesh bimah, but then what'd the "other" bimah be called.
I suppose the bimah that the chazzan is at, and where leining is done, is the proper bimah. The main bimah. Does it have a better name, or is it that that is The Bimah, and the raised platform near the ark, is just a raised platform and not really called a bimah?