A guide to the practical application of Chebyshev functions to the design of microwave components

The properties of Chebyshev functions and their application to the design of several types of microwave components are described. Formulae giving the broadest possible bandwidth in a given physical length are derived for stepped transformers, stepped twists and multi-element directional couplers. These formulae are intended for practical application by the microwave engineer to the design of actual components, and it is suggested that they should be used rather than the conventional `binomial¿ formulae, which do not give the optimum or simplest design. Microwave band-pass filters with Chebyshev equal-ripple characteristics are also described.