Nonlinear transport calculation of intense pulsed beam in solenoidal lenses

To calculate nonlinear transport of pulsed beams in the six-dimensional phase space of solenoid lens accurately, a beam dynamics program has been designed using Visual Fortran 6.5 to calculate the beam optical system consisting of drift spaces and solenoid lenses. For non-intense beams, particle trajectory can be obtained by multiplying linear transport matrices. For nonlinear transport of intense beams, the influence of space-charge effect on beam transport needs to be taken into account, and self-consistent solution should be derived because of the interaction between charged particle distribution and space charge field. In the program, components and currents are divided into equal intervals, respectively, and each interval is treated as a uniform solenoid field. Then beam current itera