Three-dimensional analysis of wakefields generated by flat electron beams in planar dielectric-loaded structures

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.

[1]  R. Ruth,et al.  A PLASMA WAKE FIELD ACCELERATOR , 1984 .

[2]  J. Hirshfield,et al.  Theory for wakefields in a multizone dielectric lined waveguide , 2006 .

[3]  Ng.  Wake fields in a dielectric-lined waveguide. , 1990, Physical Review D, Particles and fields.

[4]  R. Ischebeck,et al.  Breakdown limits on Gigavolt-per-meter electron-beam-driven wakefields in dielectric structures. , 2008, Physical review letters.

[5]  B. M. Bolotovskii.  THEORY OF CERENKOV RADIATION (III) , 1962 .

[6]  R. Collin.  Field theory of guided waves , 1960 .

[7]  R W Hockney,et al.  Computer Simulation Using Particles , 1966 .

[8]  E. al.,et al.  Superconducting TESLA cavities , 2000, physics/0003011.

[9]  S. Lidia,et al.  A Three-Dimensional Quasi-Static Model for High Brightness Beam Dynamics Simulation , 2005 .

[10]  J. Dawson,et al.  Propagation of Electromagnetic Waves in a Partially Dielectric Filled Circular Waveguide , 1970 .

[11]  K. L. F. Bane,et al.  On Collinear Wake Field Acceleration , 1985, IEEE Transactions on Nuclear Science.

[12]  Wanming Liu,et al.  Dipole-mode wakefields in dielectric-loaded rectangular waveguide accelerating structures. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  R. Lindberg,et al.  A compact soft x-ray free-electron laser facility based on a dielectric wakefield accelerator , 2012 .

[14]  Paul Schoessow,et al.  ELECTROMAGNETIC WAKE FIELDS AND BEAM STABILITY IN SLAB-SYMMETRIC DIELECTRIC STRUCTURES , 1997 .

[15]  K. Nakamura,et al.  GeV electron beams from a centimetre-scale accelerator , 2006 .

[16]  Park,et al.  Theory of wakefields in a dielectric-lined waveguide , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  Jean-Pierre Berenger,et al.  A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

[18]  H. Henke,et al.  The Panofsky-Wenzel theorem and general relations for the wake potential , 1995 .

[19]  K. Flöttmann,et al.  A LOW EMITTANCE, FLAT-BEAM ELECTRON SOURCE FOR LINEAR COLLIDERS , 2001 .

[20]  Wei Lu,et al.  Energy doubling of 42 GeV electrons in a metre-scale plasma wakefield accelerator , 2007, Nature.

[21]  J. Hirshfield,et al.  Coaxial two-channel high-gradient dielectric wakefield accelerator , 2009 .

[22]  Viktor K. Decyk,et al.  An Object-Oriented Parallel Particle-in-Cell Code for Beam Dynamics Simulation in Linear Accelerators , 2000, International Conference on Software Composition.

[23]  W. Gai,et al.  Field analysis of a dielectric-loaded rectangular waveguide accelerating structure. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[25]  I. Syratchev,et al.  Demonstration of high-gradient acceleration , 2003, Proceedings of the 2003 Particle Accelerator Conference.

[26]  J. Cary,et al.  VORPAL: a versatile plasma simulation code , 2004 .

[27]  Photoinjector generation of a flat electron beam with transverse emittance ratio of 100 , 2005, physics/0511011.

[28]  Thomas Weiland,et al.  Particle Acceleration by Wake Fields , 1982 .

[29]  S. Lidia,et al.  Generation of angular-momentum-dominated electron beams from a photoinjector , 2004, physics/0411063.

[30]  Gai,et al.  Longitudinal- and transverse-wake-field effects in dielectric structures. , 1989, Physical Review D, Particles and fields.

[31]  Kwang‐Je Kim,et al.  Round-to-flat transformation of angular-momentum-dominated beams , 2003 .

[32]  J. Rosenzweig,et al.  Effects of ion motion in intense beam-driven plasma wakefield accelerators. , 2005, Physical review letters.