IPAC'25 - the 16th International Particle Accelerator Conferece

Wakefields in an elliptical cavity and alternating-structure stability analyses

TUPS109

3 Jun 2025, 16:00

2h

Exhibiton Hall A _Salmon (TWTC)

Poster Presentation MC3.A16 Advanced Concepts Tuesday Poster Session

Speaker

Joshua Mann (University of California, Los Angeles)

Description

We present the analytical solution for the transverse and longitudinal wakefields in a perfectly conducting elliptical cavity following from a conformal mapping formalism. These closed-form results are corroborated by numerical calculations. Simple representations of the dipole and quadrupole modes as a function of the cavity dimensions then precipitate, permitting the analyses of the beam tail’s emittance preservation and BNS damping in an alternating structure. We then consider general forms for the dipole and quadrupole components as functions of the longitudinal coordinate and determine what perturbations to such a structure may improve stability.

Funding Agency

This research is supported by the Center for Bright Beams, U.S. National
Science Foundation grant PHY-1549132.