# Analysis and Measurement of the Transfer Matrix of a 9-cell 1.3-GHz Superconducting Cavity

## TL;DR

This paper analyzes the transfer matrix of a 9-cell 1.3-GHz superconducting RF cavity, presenting measurements that confirm theoretical and simulation predictions, which is vital for optimizing superconducting linacs.

## Contribution

It provides the first detailed measurement and analysis of the transfer matrix for this specific superconducting cavity design, validating analytical and simulation models.

## Key findings

- Measurement agrees with analytical calculations
- Measurement agrees with numerical simulations
- Validates transfer matrix modeling for superconducting cavities

## 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.