Design constraints for electron-positron linear colliders

A prescription for examining the design constraints in the e+-e- linear collider is presented. By specifying limits on certain key quantities, an allowed region of parameter space can be presented, hopefully clarifying some of the design options. The model starts with the parameters at the interaction point (IP), where the expressions for the luminosity, the disruption parameter, beamstrahlung, and average beam power constitute four relations among eleven IP parameters. By specifying the values of five of these quantities, and using these relationships, the unknown parameter space can be reduced to a two-dimensional space. Curves of constraint can be plotted in this space to define an allowed operating region. An accelerator model, based on a modified, scaled SLAC structure, can then be used to derive the corresponding parameter space including the constraints derived from power consumption and wake field effects. The results show that longer, lower gradient accelerators are advantageous