SC Crab Cavity with Reduced Transverse Size for the LHC Upgrade

In the paper the Crab Cav­i­ty is de­scribed for local Crab schemes for LHC that de­mand re­duced trans­verse cav­i­ty di­men­sions small enough to fit lim­it­ed space nec­es­sary for the beams sep­a­ra­tion. The re­sults of the con­fig­u­ra­tion cav­i­ty op­ti­miza­tion are pre­sent­ed that in­clude (a) the sur­face field min­i­miza­tion; (b) par­a­sitic monopole and dipole spec­trum op­ti­miza­tion and dump­ing, (c) the input and the par­a­sitic mode damp­ing cou­plers de­sign. The re­sults of mul­ti­pact­ing sim­u­la­tions, which were per­formed in order to un­der­stand the pos­si­ble gra­di­ent lim­i­ta­tions, are dis­cussed also.