A mathematical model for investigating chromatic electron beam extraction from a pulse stretcher ring

A chromatic beam extraction from a pulse stretcher ring can be realized at a non-zero chromaticity of the machine. The finite chromaticity value stimulates the dependence of the betatron oscillation frequency on the particle energy. This permits one to carry out the beam extraction through the use of the betatron resonance by changing the particle energy. Considering that during the chromatic extraction the particles are found in the vicinity of the RF separatrix or cross it, the computer code must ensure the simulation of the nonlinear motion of electrons inside and outside of the RF separatrix with due account of the synchrotron radiation effects