Apple, for a reason never made official, decided that the external Superdrive sold with MacBook Air would not function on any other machine.
Since we needed to make this superdrive unit function on a MacBook Pro Unibody (you will know soon the reasons), we decided to replace its USB bridge for another bridge that would not have such restrictions. After much research, fortunately we found on an American site,
http://www.idotpc.com.
Here is the electronics in question:

It has a size completely compatible with that of the Apple original, actually being shorter by two good centimetres.

To replace the original bridge with this this one, we started by removing its connector in order to gain place, then soldered the wires onto that of the Apple connector.

Two black wire (ground were soldered together). The white wire goes on +, the green wire on - and the red to VCC. It is important once the soldering has been completed to isolate the whole with an adhesive tape so as to prevent the soldering from touching the metal case of Superdrive during the reassembly.
Note that we do not detail here the disassembling and the reassembly of the apparatus since such instructions are commonplace. The bottom is taken off by levering the side with a blade, and then the Superdrive by removing 3 screws and its electronics with two more.
Attention, with the reassembly of the electronics, it is necessary to use the spacers and screws provided with the new one, the screws of Apple are too short. Once the apparatus is reassembled, we connected it to a MacBook Pro and inserted a DVD.

He was recognized without problem, Mac OS X regarding it as delivered by Apple.
The electronics cost $15 (without tax and shipping).