Bottom Drive or Shoe Drive

Uses left hand thread casings that are rotated by a special down the hole hammer bit.
The drill bit locks into the bottom of the casing via a drive shoe. The down the hole hammer supplies hammer action and rotary action to the casing. Hence the need for left hand threaded casings. Most of the top drive systems can be available as bottom drive.

Advantage: No special adaptors are needed. Due to pulling action rather that pushing, the system can use thin wall welded steel tube that is left in the ground. Popular in the foundation industry.

Disadvantage: Threaded casing can come undone in the hole due to left hand thread when through drilling to finish the hole. Casing shoes are expensive. For deep hole all the drilling torque for the casing travels through the drill rods. Casing swivel shoes are available that do not transmit torque to the rest of the casing only the shoe. This adds complexity and cost to the system.

Casing Bit Systems
The casing has drilling teeth mounted to it. It reams the bore hole to its size. The hammer drill bit does not drill over size for the casing.
Advantages: Can be designed as a drill through system. This does not require the hammer to be removed from the hole to drill past the casing. You reverse rotate  the hammer30° and push the bit past the casing shoe. This is a fast drilling system where only a small amount of drilling is required below the casing.
Disadvantage: The system is very expensive fir the bit and the drilling shoes.

Drill Through Systems
It is possible with the casing bit system to have a drill through bit. This allows the bit to be disconnected from the casing and to carry on drilling without the casing.
Advantage: The hammer and bit assembly does not need to be removed from the hole to continue drilling. If the remaining hole to be drilled after the casing have been disconnected from the bit is short this saves time.
Disadvantage: The drill bit is more expensive than a standard unit. So cost per drilled foot increases.