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AJDISK is a 1-D large signal klystron simulator developed at Stanford Linear Accelerator Center. A brief discussion of AJDISK's simulation algorithm is given and 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 2-D 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 the numerical simulations and measurement. [ABSTRACT FROM AUTHOR]

Kosmahl and Branch's derivation for the electric field in a round beam gap is closely followed to derive the electric field for a sheet beam klystron gap. The wider of the two transverse dimensions of the gap is taken to be infinite in extent and the field is derived based on an approximation of the gap field at the drift tube edge. The electric field equations are generalized using a Fourier series representation of the gap field at the drift tube edge. The analytical results are compared with the numerical computations. [ABSTRACT FROM AUTHOR]