A draft theory paper derives beam echo formulas for nonlinear kicks, diffusion, and multiple kicks, but contains many incomplete and self-flagged wrong sections.
Luke , Electron beam echoes in the IOTA ring, (2023), FERMILAB-PUB-23-518- AD-STUDENT, https://www.osti.gov/servlets/purl/2202943
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Theory of Beam Echoes
A draft theory paper derives beam echo formulas for nonlinear kicks, diffusion, and multiple kicks, but contains many incomplete and self-flagged wrong sections.