Applications of the cancellation effect in CSR studies

The cancellation effect in the dynamics of relativistic beams on a curved trajectory was studied by Li and Derbenev (2002) based on the canonical formulation of the dynamics equations and retarded potentials. In this paper, we first discuss in a coherent manner various applications of the cancellation effect, such as a coasting beam, a short bunch in steady-state interacting with off-orbit particles, transient self-interaction of a short bunch entering a circular orbit from a straight path, and a converging beam in a bunch compression chicane. Next, spectrometer measurement and Landau damping in microbunching process are discussed based on new dynamics equations which explicitly use the cancellation effect.