ACCURACY AND EFFICIENCY OF 2D AND 3D FAST POISSON'S SOLVERS FOR SPACE CHARGE FIELD CALCULATION OF INTENSE

Design of particle accelerators with intense beams requires careful control of space charge problem. To obtain accurate treatment of the problem, solution of the Poisson's equation for electrostatic potential created by an arbitrary space charge distribution of the beam is required. Numerical routines developed for 2D and 3D space charge field calculation of high current beam are examined. Two numerical techniques are used: (i) finite-difference method, combining Fourier expansion and Gauss elimination and (ii) spectral method, utilizing Fourier expansion of electrostatic potential. Accuracy and time consuming for calculation of test problem are compared