Title: Analysis and Measurement of the Transfer Matrix of a 9-cell 1.3-GHz Superconducting Cavity,
Abstract: Superconducting linacs are capable of producing intense, stable, high-quality
electron beams that have found widespread applications in science and industry.
The 9-cell 1.3-GHz superconducting standing-wave accelerating RF cavity
originally developed for $e^+/e^-$ linear-collider applications [B. Aunes, {\em
et al.} Phys. Rev. ST Accel. Beams {\bf 3}, 092001 (2000)] has been broadly
employed in various superconducting-linac designs. In this paper we discuss the
transfer matrix of such a cavity and present its measurement performed at the
Fermilab Accelerator Science and Technology (FAST) facility. The experimental
results are found to be in agreement with analytical calculations and numerical
simulations.