Optics development for the recirculating electron linac of a high-energy hadron-lepton collider (LHeC) at the LHC

This report discusses the beam optics of several electron linac options for a highenergy hadron-lepton collider (LHeC) based on the LHC and is part of undergoing feasibility studies for this project. The report provides a proof of principle that a high luminosity and energy LHeC based on a linac is possible and lattice designs for recirculating electron linacs, both with and without energy recovery, is suggested for several energies. In particular the betatron and dispersion functions of these designs are discussed.