document: Conformal-mapping design tools for coaxial couplers with complex cross section Numerical conformal mapping is exploited as a simple , accurate , and efficient tool for the analysis and design of coaxial waveguides and couplers of complex cross section . An implementation based on the Schwarz-Christoffel Toolbox , a public-domain MATLAB package , is applied to slotted coaxial cables and to symmetrical coaxial couplers , with circular or polygonal inner conductors and external shields . The effect of metallic diaphragms of arbitrary thickness , partially separating the inner conductors , is also easily taken into account . The proposed technique is validated against the results of the finite-element method , showing excellent agreement at a fraction of the computational cost , and is also extended to the case of nonsymmetrical couplers , providing the designer with important additional degrees of freedom
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