Abstract
In particle accelerators a preferred direction, the direction of motion, is well defined. If in a numerical calculation the (numerical) dispersion in this direction is suppressed, a quite coarse mesh and moderate computational resources can be used to reach accurate results even for extremely short electron bunches. Several approaches have been proposed in the past decades to reduce the accumulated dispersion error in wakefield calculations for perfectly conducting structures. In this paper we extend the TE/TM splitting algorithm to a new hybrid scheme that allows for wakefield calculations in structures with walls of finite conductivity. The conductive boundary is modeled by one-dimensional wires connected to each boundary cell. A good agreement of the numerical simulations with analytical results and other numerical approaches is obtained.
Highlights
Preservation of very small phase space volume of electron bunches is one of the challenges in modern linear accelerators for fundamental and applied research [1,2,3]
During acceleration the bunch interacts with the surrounding structure and excites electromagnetic fields that act back on the bunch
The only practical way of calculating and studying the electromagnetic fields in complicated threedimensional (3D) structures is the application of numerical methods
Summary
Preservation of very small phase space volume (emittance) of electron bunches is one of the challenges in modern linear accelerators for fundamental and applied research [1,2,3]. The electromagnetic fields in many PIC codes are computed using the finite difference time domain (FDTD) method [10,11]. Several numerical codes have been developed to solve wakefield problems in frequency and time domains [12,13,15,16,17] for perfectly conducting structures. In this paper a new (longitudinally) dispersion-free hybrid numerical scheme is described which has been developed to evaluate the wakefields in structures with walls of finite conductivity. VIII a number of numerical tests and a comparison with existing solutions are given
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