The Synthesis of Quarter-Wave Transformers, Low-Pass and Half-Wave Filters in the Sine Plane (Letters)

This letter presents a method for synthesizing quarter-wave Chebyshev transformers, low-pass and half-wave filters. The method uses sine-plane synthesis which greatly simplifies the numerical calculations and allows one to obtain good numerical accuracy using just a desk calculator. Equations for the transmission coefficient are given in a simplified form.