Analytical treatment of the wakefields driven by transversely shaped beams in a planar slow-wave structure

Abstract

The suppression of transverse wakefield effects using transversely elliptical drive beams in a planar structure is studied with a simple analytical model that unveils the geometric nature of this phenomenon. By analyzing the suggested model we derive scaling laws for the amplitude of the longitudinal and transverse wake potentials as a function of the Gaussian beam ellipticity - ${\sigma }_x/a$. We explicitly show that in a wakefield accelerator application it is beneficial to use highly elliptical beams for mitigating transverse forces while maintaining the accelerating field. We consider two scaling strategies: 1) aperture scaling, where we keep a constant charge to have the same accelerating gradient as in a cylindrical structure and 2) charge scaling, where aperture is the same as in the cylindrical structure and charge is increased to match the gradient.

arXiv comment10 pages, 6 figures

References in corpus (11)

• Photoinjector-generation of a flat electron beam with transverse emittance ratio of 100
• Impedance of a Rectangular Beam Tube with Small Corrugations
• Experimental demonstration of wakefield effects in a THz planar diamond accelerating structure
• Stability condition for the drive bunch in a collinear wakefield accelerator
• Cherenkov loss factor of short relativistic bunches:general approach
• Experimental characterization of electron beam driven wakefield modes in a dielectric woodpile Cartesian symmetric structure
• Dechirper Wakefields for Short Bunches
• Three-Dimensional Analysis of Wakefields Generated by Flat Electron Beams in Planar Dielectric-Loaded Structures
• Formation of Compressed Flat Electron Beams with High Transverse-Emittance Ratios
• Calculation of the Cherenkov fields in the cross-section of a short relativistic bunch
• Measurements of wake-induced electron beam deflection in a dechirper at the Linac Coherent Light Source

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• Single-shot Transverse Wakefield Mapping with a Hollow Electron Beam
• Emittance preservation in advanced accelerators
• Bounds on geometric wakefields in collimators and step transitions of arbitrary cross sections
• Analytical theory of the skewed wake effect