Abstract-A novel power divider with filtering function has been proposed in this work. A coupled-resonator structure is utilized to realise the dual functions. This eliminates the need for conventional transmission-line based splitting networks. The corresponding coupling matrix has been synthesised. A four-way filtering power divider was designed with an equal power division at X-band using rectangular waveguide cavities. A return loss of 20 dB and a bandwidth of 500 MHz with a fourthorder Chebyshev filtering response were demonstrated. The design has been verified by measurements, which show good agreements with simulations.
Equivalent circuits of sections of solid horns undergoing longitudinal vibrations are derived. The Bessel and hyperbolic families of horns are used as illustrations of the application of the general expressions for the derivation of equivalent circuits; the familiar T-and ,r-equivalent circuits are presented. Formulas for the special cases of parabolic, conical, catenoidal, hyperbolic, and exponential horns are given.
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