Impedance matching for the multilayer medium - toward a design methodology

A graphical analysis of the impedance matching problem for the multilayer dielectric and magnetic coating of metallic surfaces, for normal plane wave incidence, is presented, with a view to providing insight into design principles. Methods for visual design using Smith-chart-type graphical tools, which can complement computationally intensive optimization, are derived. The problem of estimating the required permittivity and permeability for given frequency and thickness is also discussed.