Abstract
A new recursive technique has been used to solve the equations of motion of charged particles in electric and magnetic fields taking into account the effect of space charge. Based on this technique a computer code has been written and calculations have been carried out for the beam optics, from the ion-source to the terminal stripper of the Lund Pelletron tandem accelerator. The code has been found capable of describing the beam-optics of the existing setup and will in future be used together with a library of typical field descriptions to design new beam lines.
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