A Computational Method for Disk-Loaded Waveguides with Rounded Disk-Hole Edges

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Abstract
A variational method using series expansions for fields is presented for computations of r f quantities in metal disk-loaded waveguides commonly used in electron linacs. It allows for rounding of the edge of a disk hole. It is tested by a computer program, which calculates the guide radius or the frequency with all the other dimensions and the guide wavelength prescribed, as well as r f parameters and fields. Good agreement has been found between computed and experimental values for quantities such as the group velocity and the shunt impedance. For one type of cell, however, there is discrepancy of the order of a few hundredth of one percent between computations of the guide radius or frequency and the experiment. Computations using a least squares method yield still worse results. This is attributed to the presence of some singularities within the disk. A technique for avoiding this difficulty is proposed.

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