Instead of a participle, the second element of absolute constructions may be an adjective, an adverb, or a prepositional phrase. The constructions are usually separated from the rest of the sentence by a comma.
a) The Nominative Absolute Construction is used in the function of an adverbial modifier of time or attendant circumstances.
Breakfast over, he returned to his office.
b) The Prepositional Absolute construction is mostly used in the function of an adverbial modifier of attendant circumstances.
I found him ready and waiting for me, with his coat over his arm.
