Optical requirements for the magnetic lattice of the LHC high energy injectors

The basic requirements for the magnetic lattice of the LHC high energy injectors will be given taken into account, wherever possible, the constraints imposed by high energy injection, fast and slow extraction, beam cleaning and dumping, acceleration. Possible solutions, based on presently available technology, will be sketched and potential limitations or difficulties indicated. The paper will focus on the case of a Super-SPS sharing the same tunnel with the present CERN SPS