Computation of Resistive Wakefields

TL;DR

This paper presents a numerical method for calculating resistive wakefields in cylindrical beam pipes, including frequency-dependent conductivity and higher order modes, aiding the design of advanced nano-beam accelerators.

Contribution

It introduces a comprehensive numerical approach to compute resistive wakefields, incorporating frequency-dependent conductivity and extending to higher order and transverse modes.

Findings

Numerical results align with existing approximate formulas.

Frequency-dependent conductivity significantly affects wakefield calculations.

Extended analysis to higher order and transverse modes enhances modeling accuracy.

Abstract

We evaluate longitudinal resistive wakefields for cylindrical beam pipes numerically and compare the results with existing approximate formul\ae. We consider an ultra-relativistic bunch traversing a cylindrical, metallic tube for a model in which the wall conductivity is taken to be first independent and second dependent on frequency, and we show how these can be included simply and efficiently in particle tracking simulations. We also extend this to higher order modes, and to the transverse wakes. This full treatment can be necessary in the design of modern nano-beam accelerators.