Landau damping effects and evolutions of energy spread in small isochronous ring

Abstract

This paper presents the Landau damping effects on the microwave instability of a coasting long bunch in an isochronous ring due to finite energy spread and emittance. Our two-dimensional (2D) dispersion relation gives more accurate predictions of the microwave instability growth rates of short-wavelength perturbations than the conventional 1D formula. The long-term evolution of energy spread is also studied by measurements and simulations.

24 pages, 18 figures, submitted to NIM-A

References in corpus (2)

• Space charge impedances of a rectangular beam with longitudinal density modulations inside a rectangular chamber
• Betatron modulation of microwave instability in small isochronous ring

Cited by in corpus (2)

• Analysis of the longitudinal space charge impedance of a round uniform beam inside parallel plates and rectangular chamber
• Approximate longitudinal space charge impedances of a round beam between parallel plates and inside a rectangular chamber