Simultaneous matching of dispersion function and Twiss parameters in a transfer line

Dispersion matching in a beam transfer line is an important issue in order to avoid blow-up and luminosity reduction. This is the case for the LHC beam, due to its small emittance and relatively large momentum spread. The dispersion matching can be performed with quadrupoles, but one has to impose the additional constraint of leaving the Twiss parameters unchanged, to preserve the betatron matching. A first order pertubative approach, using the MICADO solver, has been applied to the problem of simultaneous betatron and dispersion matching. A theoretical derivation of the correction matrix as well as simulated and experimental results are presented. (8 refs).