A Study of the Effects of Helix Misalignment on the Cold Parameters of a Sheath Helix Slow-Wave Structure


The cold parameters together with the dispersion properties and the average interaction impedance of a sheath eccentric helix slow-wave structure in a very circular waveguide are investigated. With the applications of orthogonal properties of the helix modes and Graf’s addition theorem for modified Bessel functions, the closed-form characteristic equations concerning the helix modes are derived rigorously. The obtained characteristic equations show that the misaligned structure admits solely the sector solutions existing in the shape of the superposition of hybrid modes. Numerical calculations show that the normalized phase velocity and the typical interaction impedance of the helix dominant mode decrease as the misalignment of the inner helix increases which additional hybrid modes must be thought of for satisfactory convergence with the rise within the misalignment. The effects of different misalignments on the cold parameters of the eccentric structure are investigated and therefore the results are discussed.

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