Coherent Synchrotron Radiation Modeling in the ERL

In high energy X-Ray production machines, such as the proposed Energy Recovery Linac (ERL) at Cornell, precise modeling of Coherent Synchrotron Radiation (CSR) and its effects on a electron beam are crucial in developing an efficient and well understood system. To achieve a high quantity of X-Ray production, short bunch lengths and high charge density bunches are desired, both worsening the effects of CSR on the electron bunches. Simulation programs such as Tao and Elegant have been developed in an attempt to model the effects of CSR on various characteristics of the beam. However, due to differences in the algorithms used to calculate CSR, the output values of these programs differ slightly. While it is advantageous to determine if CSR effects on our beam are within acceptable limits, these differences also demonstrate a need to compare the two programs and determine if Tao is a sufficient simulation program to be used in modeling the ERL. Ultimately, it is found that beam modeling in TAO compares reasonably well with ELEGANT in most cases, considering the rough approximation used in Elegant. In other cases, the difference are so large tat a further analysis of the algorithms and their implementation is necessary. Using this approximation, the effects due to CSR in the full ERL were found to be tolerable in three of the five proposed working modes. In the Short bunch mode, the simulated CSR emittance growth in the currently proposed lattice is too large.