AJDISK is a 1D large signal klystron simulator developed at SLAC. A brief discussion of AJDISK's simulation algorithm is given and [1] is fully developed to show how AJDISK was extended to enable sheet beam klystron simulations. The primary requirement for extending "disk" simulators to sheet beam simulators is a space charge equation. Therefore, the electric field due to an infinitely thin plate of charge (infinitely thin in the direction of propagation) in a rectangular drift tube is derived. The derivation is extended to a "2D" space charge equation in which the plate is split into a series of rods with varying positions in y. The derived equations are compared with numerical simulations and measurement.
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