Abstract
The dispersion equation governing the guided propagation of TE and TM fast wave modes of a circular cylindrical waveguide loaded by metal vanes positioned symmetrically around the wave-guide axis is derived from the exact solution of a homogeneous boundary value problem for Maxwell's equations. The dispersion equation takes the form of the solvability condition for an inflnite system of linear homogeneous algebraic equations. The approximate dispersion equation corresponding to a truncation of the inflnite-order coe-cient matrix of the inflnite system of equations to the coe-cient matrix of a flnite system of equations of su-ciently high order is solved numerically to obtain the cut-ofi wave numbers of the various propagating modes. Each cut-ofi wave number gives rise to a unique dispersion curve in the shape of a hyperbola in the !-fl plane.
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