Coupling impedance of a PEC angular strip in a vacuum pipe

Abstract

Abstract This study deals with the evaluation of the longitudinal and transverse coupling impedance of a charge travelling in a drift tube with a perfectly electric conductive angular strip. The problem is formulated in the particle frame as dual series equations, and efficiently solved through the representation of the unknown in terms of Neumann series. Then, the electric parameters are obtained in the pipe frame through the Lorentz transforms. The presented solution can be adopted as the general methodology in case of angular discontinuities in particle accelerators.

Keywords

• boundary‐value problems
• electromagnetic wave scattering
• integral equations
• Lorentz transformation
• pipes
• series (mathematics)