We derive the design formulas for novel multilayer bandpass filters in which every dielectric layer (resonator) is separated from the adjacent layer or external medium by a grating of strip conductors. Every grating acts as a semi-reflecting mirror. Such novel filters have wide stop bands compared to conventional filters with multilayer dielectric mirrors between resonators at the same passband width. The parameters of the lowpass, lumped-element prototype filter, as well as the theory of resonator-coupling coefficients, are considered in our approach. The computed frequency response of the fifth-order Chebyshev filter that was synthesized using the proposed formulas is also presented.
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