All‐pass dispersion synthesis using microwave C‐sections

A closed‐form iterative procedure for synthesizing quasi‐arbitrary phase responses with cascaded microwave C‐section all‐pass phasers is presented. The synthesis consists in mapping the transmission poles of the cascaded C‐section structure onto the transmission poles of the specified transfer function, where the latter poles are computed using a closed‐form polynomial generation method. The real and complex transmission poles of the specified transfer function are realized using C‐sections of different lengths and different couplings coefficients. The proposved synthesis is validated by both full‐wave analysis and measured multilayer prototypes.