A fast method for computing 1-D wakefields due to coherent synchrotron radiation

A method for computing the free-space longitudinal wakefield due to coherent synchrotron radiation (CSR) in a one-dimensional model is developed using a fast integrated Green function approach. This approach accurately captures the short-range behavior of the CSR interaction and does not require the numerical differentiation of a noisy longitudinal charge density. The transient wakefields that occur near bend entry and exit are included. This method can also be generalized to include the effect of upstream radiation that propagates through multiple lattice elements before interacting with the bunch.