Abstract

The dispersion relation of beam-free trapezoidally corrugated periodic metallic slow wave structure (TCSWS) has been numerically verified using a synthetic technique. The dispersion curves for both the fundamental and the higher order passband modes (TM01–TM03) are computed for an axisymmetric-corrugated structure. The periodic structure resonates at specific frequencies when shorted appropriately at both ends. From the specific frequency values of these resonant peaks, a dispersion curve is determined for each transverse magnetic (TM) mode. The obtained dispersion curve is compared with both the experimental and analytical results using the same number of periods. The comparisons with analytical results and their experimental counterpart agree excellently with a maximum deviation of 1.94% for the TM01 mode, 1.29% for the TM02 mode and 2.38% for the TM03 mode. The radial and longitudinal electromagnetic field patterns of TCSWS are also calculated and compared with analytical field patterns for a six-period slow wave structure. Comparative results validate both the obtained dispersion curves and field patterns of TCSWS.

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