Simulation of Synchrotron Radiation in an Electron Storage Ring

We studied a method of using symplectic integrator to simulate incoherent synchrotron radiation in an electron storage ring. The simulation includes both classical radiation and its quantum uctuations. We found that the emission process of photon using a compound Poisson process cannot be applied to the fourth-order integrator because it has negative path length which implies a negative n umber of emitted photons. The simulations are carried out using only the second-order inte-grator. The result of equilibrium beam size agrees with the analytical calculation well. The method can be applied for all types of magnets.