Simplified wavelength calculations for Fast and Slow wave metamaterial ridged waveguides and their application to array antenna design

Simple equations for calculating the wavelengths of the Fast and Slow waves in combined-mode metamaterial ridged waveguides are derived. The transverse resonance method is used in analyzing the fast wave and a distributed transmission line with series inductive reactance is used for the slow wave. The equations are used to show how the wavelength characteristics can be controlled and to find the angles of undesired lobes of array antennas in actual examples.