Shot-Noise Seeded Microbunching Instability: Second-Order Correction to the Gain Function
We determine the second-order correction to the gain function of the microbunching instability in single-pass systems of interest for the next generation of light sources. The calculation applies to the case where the instability is seeded by shot noise. We examine an analytically treatable model of beam dynamics where collective forces are active only in non-dispersive sections of the linac. We find that the second order term can augment the linear gain significantly while affecting the spectrum of the overall gain only marginally. The weight of the second-order correction relative to the linear gain is found to scale quadratically with respect to R56. The qualitative behavior predicted by the model is consistent with exact numerical solutions of the Vlasov equations for realistic lattices.
- Research Organization:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Organization:
- Accelerator& Fusion Research Division
- DOE Contract Number:
- DE-AC02-05CH11231
- OSTI ID:
- 940402
- Report Number(s):
- LBNL-676E; TRN: US0807122
- Journal Information:
- Nuclear Instrumetns and Methods in Physics Research A, Journal Name: Nuclear Instrumetns and Methods in Physics Research A
- Country of Publication:
- United States
- Language:
- English
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