Title :
Analytical expressions for the smear due to nonlinear multipoles
Author :
Merminga, Nikolitsa ; Ng, King-Yuen
Author_Institution :
Fermi Nat. Accel. Lab., Batavia, IL, USA
Abstract :
An analytical derivation of the horizontal smear due to sextupoles and octupoles is presented. A generalized expression for the horizontal smear due to all multipoles is derived. A two-degree-of-freedom calculation yields the smear due to sextupoles and octupoles. Experimental observations of the smear induced by special sextupoles have been made at the Fermilab Tevatron, and the present calculations agree very well with data over a wide range of conditions. The smear due to random and systematic multiple errors in the dipoles, before and after the insertion of lumped correctors, is calculated for the SSC (Superconducting Super Collider) lattice. The smear due to random and systematic multipole errors in the Tevatron dipoles is computed
Keywords :
beam handling equipment; proton accelerators; synchrotrons; Fermilab Tevatron; dipoles; horizontal smear; multiple errors; nonlinear multipoles; octupoles; random errors; sextupoles; Apertures; Colliding beam accelerators; Error correction; Genetic expression; Lattices; Linear accelerators; Particle accelerators; Performance analysis; Phase distortion; Trajectory;
Conference_Titel :
Particle Accelerator Conference, 1989. Accelerator Science and Technology., Proceedings of the 1989 IEEE
Conference_Location :
Chicago, IL
DOI :
10.1109/PAC.1989.73424
