Design Of The Compton Laser-Electron Storage Ring And The Study Of The Fringe Field Effect

Hard X-ray source based on Compton scattering (CS) has numerous benefits ofquasi-monchromaticity,adjustable parameters and so on. It can be widely used in ma-terial science, biology science and high energy physics. The main principle is thatthe electron stored in the storage ring interacts with the laser in the optical cavity toenhance the collision frequency and luminosity of the scattered photon.In this paper, we first present the lattice design of the laser-electron storage ring forthe operation of the pulse mode and determine the parameters of the lattice. The mainbeam dynamics including intra-beam scattering(IBS),Compton scattering(CS) and syn-chrotron radiation(SR) will also be analyzed.During the lattice design, the traditional hard-edge model is used for the approxi-mate treatment.But in the compact storage ring, the magnet aperture is comparable withthe steel length and the fringe field efect can’t be ignored. Besides,due to the spacelimitation, the field distribution of the adjacent magnets will overlap.So the study ofthe fringe field and field interference is very important for the compact storage ring.We’ll study the efect of fringe field and field interference for the quadrupoles indetail to obtain the processing method and compile the simulation code based on themethod.First,we’ll establish the magnet models and get the field data;three methodsincluding the form factor theory,slice method and the R-K tracking method are used toobtain the linear transfer matrices; then the equivalent hard edge model is establishedand the related parameters are obtained with the numerical method.Furthermore,the detailed influence of the high-order aberration and momentumdeviation to the particle orbit is calculated and simulated based on the derivation of themotion equations.