Abstract

An electron bunch passing through dielectric-lined waveguide generates $\check{C}$erenkov radiation that can result in high-peak axial electric field suitable for acceleration of a subsequent bunch. Axial field beyond Gigavolt-per-meter are attainable in structures with sub-mm sizes depending on the achievement of suitable electron bunch parameters. A promising configuration consists of using planar dielectric structure driven by flat electron bunches. In this paper we present a three-dimensional analysis of wakefields produced by flat beams in planar dielectric structures thereby extending the work of Reference [A. Tremaine, J. Rosenzweig, and P. Schoessow, Phys. Rev. E 56, No. 6, 7204 (1997)] on the topic. We especially provide closed-form expressions for the normal frequencies and field amplitudes of the excited modes and benchmark these analytical results with finite-difference time-domain particle-in-cell numerical simulations. Finally, we implement a semi-analytical algorithm into a popular particle tracking program thereby enabling start-to-end high-fidelity modeling of linear accelerators based on dielectric-lined planar waveguides.

Highlights

  • Generation multi-TeV high-energy-physics lepton accelerators are likely to be based on nonconventional acceleration techniques given the limitations of radiofrequency normal-conducting [1] and superconducting [2] structures

  • An electron bunch passing through a dielectric-lined waveguide generates Cerenkov radiation that can result in a high-peak axial electric field suitable for acceleration of a subsequent bunch

  • The model was successfully validated against three-dimensional finite-difference timedomain (FDTD) PIC simulations performed with VORPAL and was implemented in the popular beam dynamics tracking program IMPACT-T

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Summary

INTRODUCTION

Generation multi-TeV high-energy-physics lepton accelerators are likely to be based on nonconventional acceleration techniques given the limitations of radiofrequency (rf) normal-conducting [1] and superconducting [2] structures. The applicability of laser-driven techniques to high-energy accelerators is currently limited as attaining luminosity values similar to those desired at the International Linear Collider would demand a laser with power approximately 4 orders of magnitude larger than the most powerful lasers currently available [4]. Another class of nonconventional accelerating techniques includes beam-driven methods which rely on using wakefields produced by high-charge drive bunches traversing a highimpedance structure to accelerate subsequent witness bunches [5]. The latter provides a fast and highfidelity model enabling start-to-end simulation of DLWbased linear accelerators

WAKEFIELD GENERATION
DISPERSION EQUATIONS AND ELECTROMAGNETIC WAKEFIELDS
WAKEFIELD AMPLITUDES
Three-dimensional case
Witness-bunch dynamics
Two-dimensional limit
IMPLEMENTATION IN A PARTICLE-IN-CELL BEAM DYNAMICS PROGRAM
CONCLUSIONS
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